EBK COLLEGE ALGEBRA
EBK COLLEGE ALGEBRA
6th Edition
ISBN: 9780100802797
Author: Dugopolski
Publisher: YUZU
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Concept explainers

Maximization
Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.
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Chapter 2.3, Problem 54E

Use transformations to graph each function and state the domain and range.

y = 3|x| –200

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Chapter 2 Solutions

EBK COLLEGE ALGEBRA

Ch. 2.1 - True or False? Explain. 1. Any set of ordered...Ch. 2.1 - True or False? Explain. If f = {(1, 1), (2, 4),...Ch. 2.1 - True or False? Explain. 3. The domain of f(x) =...Ch. 2.1 - True or False? Explain. Each student’s exam grade...Ch. 2.1 - True or False? Explain. 5. If f(x) = x2, then...Ch. 2.1 - Prob. 6FTCh. 2.1 - True or False? Explain. The range of y = 8 – x2 is...Ch. 2.1 - Prob. 8FTCh. 2.1 - True or False? Explain. 9. If then f(0) = –1. Ch. 2.1 - Prob. 10FT
Ch. 2.1 - Fill in the blank. 1. If the value of m is...Ch. 2.1 - Prob. 2ECh. 2.1 - Fill in the blank. 3. Any set of ordered pairs is...Ch. 2.1 - Prob. 4ECh. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Prob. 8ECh. 2.1 - For each pair of variables determine whether a is...Ch. 2.1 - For each pair of variables determine whether a...Ch. 2.1 - For each pair of variables determine whether a is...Ch. 2.1 - For each pair of variables determine whether a is...Ch. 2.1 - For each pair of variables determine whether a is...Ch. 2.1 - For each pair of variables determine whether a is...Ch. 2.1 - For each pair of variables determine whether a is...Ch. 2.1 - For each pair of variables determine whether a is...Ch. 2.1 - For each pair of variables determine whether a is...Ch. 2.1 - For each pair of variables determine whether a is...Ch. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Determine whether each relation is a function....Ch. 2.1 - Determine whether each relation is a function. 26....Ch. 2.1 - Determine whether each relation is a function....Ch. 2.1 - Determine whether each relation is a function. { (...Ch. 2.1 - Determine whether each relation is a...Ch. 2.1 - Determine whether each relation is a function.Ch. 2.1 - Determine whether each relation is a...Ch. 2.1 - Determine whether each relation is a function.Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine whether each equation defines y as a...Ch. 2.1 - Determine the domain and range of each relation....Ch. 2.1 - Determine the domain and range of each relation....Ch. 2.1 - Determine the domain and range of each relation....Ch. 2.1 - Determine the domain and range of each relation....Ch. 2.1 - Determine the domain and range of each relation....Ch. 2.1 - Determine the domain and range of each relation....Ch. 2.1 - Determine the domain and range of each relation....Ch. 2.1 - Prob. 52ECh. 2.1 - Determine the domain and range of each relation....Ch. 2.1 - Prob. 54ECh. 2.1 - Prob. 55ECh. 2.1 - Prob. 56ECh. 2.1 - Let f = {(2, 6), (3, 8), (4, 5)} and g(x) = 3x +...Ch. 2.1 - Let f = {(2, 6), (3, 8), (4, 5)} and g(x) = 3x +...Ch. 2.1 - Let f = {(2, 6), (3, 8), (4, 5)} and g(x) = 3x +...Ch. 2.1 - Let f = {(2, 6), (3, 8), (4, 5)} and g(x) = 3x +...Ch. 2.1 - Let f = {(2, 6), (3, 8), (4, 5)} and g(x) = 3x +...Ch. 2.1 - Let f = {(2, 6), (3, 8), (4, 5)} and g(x) = 3x +...Ch. 2.1 - Let f = {(2, 6), (3, 8), (4, 5)} and g(x) = 3x +...Ch. 2.1 - Let f = {(2, 6), (3, 8), (4, 5)} and g(x) = 3x +...Ch. 2.1 - Let f = {(2, 6), (3, 8), (4, 5)} and g(x) = 3x +...Ch. 2.1 - Let f = {(2, 6), (3, 8), (4, 5)} and g(x) = 3x +...Ch. 2.1 - Let f(x) = 3x2– x and g(x) = 4x – 2. Find the...Ch. 2.1 - Let f(x) = 3x2 – x and g(x) = 4x – 2. Find the...Ch. 2.1 - Let f(x) = 3x2 – x and g(x) = 4x – 2. Find the...Ch. 2.1 - Let f(x) = 3x2– x and g(x) = 4x – 2. Find the...Ch. 2.1 - Let f(x) = 3x2 – x and g(x) = 4x – 2. Find the...Ch. 2.1 - Prob. 72ECh. 2.1 - Let f(x) = 3x2 – x and g(x) = 4x – 2. Find the...Ch. 2.1 - Prob. 74ECh. 2.1 - Let f(x) = 3x2– x and g(x) = 4x – 2. Find the...Ch. 2.1 - Let f(x) = 3x2– x and g(x) = 4x – 2. Find the...Ch. 2.1 - Let f(x) = 3x2– x and g(x) = 4x – 2. Find the...Ch. 2.1 - Let f(x) = 3x2 – x and g(x) = 4x – 2. Find the...Ch. 2.1 - The following problems involve average rate of...Ch. 2.1 - The following problems involve average rate of...Ch. 2.1 - The following problems involve average rate of...Ch. 2.1 - The following problems involve average rate of...Ch. 2.1 - The following problems involve average rate of...Ch. 2.1 - Prob. 84ECh. 2.1 - Find the difference quotient for each function and...Ch. 2.1 - Prob. 86ECh. 2.1 - Find the difference quotient for each function...Ch. 2.1 - Find the difference quotient for each function and...Ch. 2.1 - Find the difference quotient for each function...Ch. 2.1 - Find the difference quotient for each function...Ch. 2.1 - Find the difference quotient for each function...Ch. 2.1 - Prob. 92ECh. 2.1 - Prob. 93ECh. 2.1 - Prob. 94ECh. 2.1 - Prob. 95ECh. 2.1 - Prob. 96ECh. 2.1 - Prob. 97ECh. 2.1 - Prob. 98ECh. 2.1 - Prob. 99ECh. 2.1 - Prob. 100ECh. 2.1 - Solve each problem. 101. Constructing Functions...Ch. 2.1 - Prob. 102ECh. 2.1 - Prob. 103ECh. 2.1 - Prob. 104ECh. 2.1 - Prob. 105ECh. 2.1 - Prob. 106ECh. 2.1 - Prob. 107ECh. 2.1 - Prob. 108ECh. 2.1 - Solve each problem. Concert Revenue The revenue in...Ch. 2.1 - Prob. 110ECh. 2.1 - Prob. 111ECh. 2.1 - Prob. 112ECh. 2.1 - Prob. 113ECh. 2.1 - Prob. 114ECh. 2.1 - Prob. 115ECh. 2.1 - Prob. 116ECh. 2.1 - Prob. 117ECh. 2.1 - Prob. 118ECh. 2.1 - Prob. 119ECh. 2.1 - 120. Swim Meet Two swimmers of unequal ability...Ch. 2.1 - Is the radius of a circle a function of its area?Ch. 2.1 - Prob. 2PQCh. 2.1 - Prob. 3PQCh. 2.1 - Prob. 4PQCh. 2.1 - Prob. 5PQCh. 2.1 - Prob. 6PQCh. 2.1 - Prob. 7PQCh. 2.1 - Prob. 8PQCh. 2.1 - 9. Find and simplify the difference quotient for...Ch. 2.1 - Prob. LCCh. 2.2 - FOR THOUGHT... True or False? Explain 1. The range...Ch. 2.2 - Prob. 2FTCh. 2.2 - FOR THOUGHT... True or False? Explain 3. The...Ch. 2.2 - Prob. 4FTCh. 2.2 - Prob. 5FTCh. 2.2 - Prob. 6FTCh. 2.2 - Prob. 7FTCh. 2.2 - Prob. 8FTCh. 2.2 - Prob. 9FTCh. 2.2 - FOR THOUGHT... True or False? Explain The function...Ch. 2.2 - Fill in the blank. The function is the ______...Ch. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Prob. 8ECh. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Prob. 12ECh. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Prob. 14ECh. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Prob. 18ECh. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Prob. 24ECh. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Prob. 30ECh. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Make a table listing ordered pairs that satisfy...Ch. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - Prob. 37ECh. 2.2 - Prob. 38ECh. 2.2 - Make a table listing ordered pairs for each...Ch. 2.2 - Make a table listing ordered pairs for each...Ch. 2.2 - Make a table listing ordered pairs for each...Ch. 2.2 - Make a table listing ordered pairs for each...Ch. 2.2 - Make a table listing ordered pairs for each...Ch. 2.2 - Make a table listing ordered pairs for each...Ch. 2.2 - Make a table listing ordered pairs for each...Ch. 2.2 - Make a table listing ordered pairs for each...Ch. 2.2 - Prob. 47ECh. 2.2 - Prob. 48ECh. 2.2 - Prob. 49ECh. 2.2 - Prob. 50ECh. 2.2 - Prob. 51ECh. 2.2 - Prob. 52ECh. 2.2 - From the graph of each function in Exercises 53–...Ch. 2.2 - Prob. 54ECh. 2.2 - From the graph of each function in Exercises 53–...Ch. 2.2 - Prob. 56ECh. 2.2 - Prob. 57ECh. 2.2 - From the graph of each function in Exercises 53–...Ch. 2.2 - From the graph of each function in Exercises...Ch. 2.2 - Prob. 60ECh. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - Prob. 63ECh. 2.2 - Prob. 64ECh. 2.2 - Make a table listing ordered pairs for each...Ch. 2.2 - Prob. 66ECh. 2.2 - Prob. 67ECh. 2.2 - Prob. 68ECh. 2.2 - Prob. 69ECh. 2.2 - Prob. 70ECh. 2.2 - Make a table listing ordered pairs for each...Ch. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.2 - Prob. 74ECh. 2.2 - Write a piecewise function for each given graph.Ch. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.2 - Prob. 78ECh. 2.2 - Prob. 79ECh. 2.2 - Prob. 80ECh. 2.2 - Prob. 81ECh. 2.2 - Prob. 82ECh. 2.2 - Prob. 83ECh. 2.2 - Prob. 84ECh. 2.2 - Prob. 85ECh. 2.2 - Prob. 86ECh. 2.2 - Prob. 87ECh. 2.2 - Prob. 88ECh. 2.2 - Prob. 89ECh. 2.2 - Prob. 90ECh. 2.2 - Draw a graph that pictures each situation. Explain...Ch. 2.2 - Prob. 92ECh. 2.2 - Prob. 93ECh. 2.2 - Draw a graph that pictures each situation....Ch. 2.2 - Prob. 95ECh. 2.2 - Prob. 96ECh. 2.2 - Prob. 97ECh. 2.2 - Prob. 98ECh. 2.2 - Prob. 99ECh. 2.2 - Prob. 100ECh. 2.2 - Prob. 101ECh. 2.2 - Prob. 102ECh. 2.2 - Prob. 103ECh. 2.2 - Prob. 104ECh. 2.2 - Prob. 105ECh. 2.2 - Prob. 106ECh. 2.2 - Prob. 107ECh. 2.2 - Prob. 108ECh. 2.2 - Factor completely. a. w4 – 1 b. 10a3 + 3a2 – 18aCh. 2.2 - Prob. 110ECh. 2.2 - Best-Fitting Pipe A work crew is digging a...Ch. 2.2 - Prob. 112ECh. 2.2 - Prob. 1PQCh. 2.2 - Prob. 2PQCh. 2.2 - Prob. 3PQCh. 2.2 - Prob. 4PQCh. 2.2 - Prob. 5PQCh. 2.2 - LINKING concepts... For Individual or Group...Ch. 2.3 - FOR THOUGHT... True or False? Explain. The graph...Ch. 2.3 - Prob. 2FTCh. 2.3 - Prob. 3FTCh. 2.3 - Prob. 4FTCh. 2.3 - Prob. 5FTCh. 2.3 - FOR THOUGHT... True or False? Explain. 6. The...Ch. 2.3 - Prob. 7FTCh. 2.3 - Prob. 8FTCh. 2.3 - Prob. 9FTCh. 2.3 - Prob. 10FTCh. 2.3 - Prob. 1ECh. 2.3 - Prob. 2ECh. 2.3 - Fill in the blank. The graph of a function of the...Ch. 2.3 - Prob. 4ECh. 2.3 - Fill in the blank. The graph of y = – f(x) is a(n)...Ch. 2.3 - Prob. 6ECh. 2.3 - Fill in the blank. 7. The function f(x) = mx + b...Ch. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - Sketch the graphs of each pair of functions on the...Ch. 2.3 - Sketch the graphs of each pair of functions on the...Ch. 2.3 - Sketch the graphs of each pair of functions on the...Ch. 2.3 - Sketch the graphs of each pair of functions on the...Ch. 2.3 - Sketch the graphs of each pair of functions on the...Ch. 2.3 - Prob. 16ECh. 2.3 - Sketch the graphs of each pair of functions on...Ch. 2.3 - Prob. 18ECh. 2.3 - Sketch the graphs of each pair of functions on...Ch. 2.3 - Sketch the graphs of each pair of functions on...Ch. 2.3 - Sketch the graphs of each pair of functions on the...Ch. 2.3 - Prob. 22ECh. 2.3 - Sketch the graphs of each pair of functions on the...Ch. 2.3 - Prob. 24ECh. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Match each function in Exercises 27–34 with its...Ch. 2.3 - Match each function in Exercises 27–34 with its...Ch. 2.3 - Match each function in Exercises 27– 34 with its...Ch. 2.3 - Match each function in Exercises 27–34 with its...Ch. 2.3 - Match each function in Exercises 27–34 with its...Ch. 2.3 - Match each function in Exercises 27– 34 with its...Ch. 2.3 - Match each function in Exercises 27–34 with its...Ch. 2.3 - Match each function in Exercises 27– 34 with its...Ch. 2.3 - Write the equation of each graph after the...Ch. 2.3 - Prob. 36ECh. 2.3 - Write the equation of each graph after the...Ch. 2.3 - Write the equation of each graph after the...Ch. 2.3 - Write the equation of each graph after the...Ch. 2.3 - Write the equation of each graph after the...Ch. 2.3 - Write the equation of each graph after the...Ch. 2.3 - Write the equation of each graph after the...Ch. 2.3 - Write the equation of each graph after the...Ch. 2.3 - Write the equation of each graph after the...Ch. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Prob. 48ECh. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Prob. 50ECh. 2.3 - Prob. 51ECh. 2.3 - Prob. 52ECh. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Use transformations to graph each function and...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Determine algebraically whether the function is...Ch. 2.3 - Match each function with its graph (a)-(h). y = 2...Ch. 2.3 - Match each function with its graph (a)-(h).Ch. 2.3 - Match each function with its graph (a)-(h). 83....Ch. 2.3 - Match each function with its graph (a)-(h). 84....Ch. 2.3 - Match each function with its graph (a)-(h). 85....Ch. 2.3 - Match each function with its graph (a)-(h). 86....Ch. 2.3 - Match each function with its graph (a)-(h). 87....Ch. 2.3 - Match each function with its graph (a)-(h). 88....Ch. 2.3 - Solve each inequality by reading the corresponding...Ch. 2.3 - Solve each inequality by reading the corresponding...Ch. 2.3 - Solve each inequality by reading the corresponding...Ch. 2.3 - Solve each inequality by reading the corresponding...Ch. 2.3 - Solve each inequality by graphing an appropriate...Ch. 2.3 - Prob. 94ECh. 2.3 - Prob. 95ECh. 2.3 - Prob. 96ECh. 2.3 - Prob. 97ECh. 2.3 - Solve each inequality by graphing an appropriate...Ch. 2.3 - Prob. 99ECh. 2.3 - Prob. 100ECh. 2.3 - Prob. 101ECh. 2.3 - Prob. 102ECh. 2.3 - Graph each of the following functions by...Ch. 2.3 - Graph each of the following functions by...Ch. 2.3 - Prob. 105ECh. 2.3 - Solve each problem. Cost-of-Living Raise Each...Ch. 2.3 - Prob. 107ECh. 2.3 - Prob. 108ECh. 2.3 - Prob. 109ECh. 2.3 - Prob. 110ECh. 2.3 - Prob. 111ECh. 2.3 - Prob. 112ECh. 2.3 - Prob. 113ECh. 2.3 - Prob. 114ECh. 2.3 - Prob. 115ECh. 2.3 - Prob. 116ECh. 2.3 - Prob. 117ECh. 2.3 - Prob. 118ECh. 2.3 - Prob. 1PQCh. 2.3 - Prob. 2PQCh. 2.3 - Prob. 3PQCh. 2.3 - Prob. 4PQCh. 2.3 - 5. If the curve y = x2 is translated 6 units to...Ch. 2.3 - Prob. 6PQCh. 2.3 - LINKING concepts... For Individual or Group...Ch. 2.4 - True or False? Explain. 1. If f = {(2, 4)} and g =...Ch. 2.4 - True or False? Explain. If f = { ( 1 , 6 ) , ( 9 ,...Ch. 2.4 - Prob. 3FTCh. 2.4 - Prob. 4FTCh. 2.4 - Prob. 5FTCh. 2.4 - Prob. 6FTCh. 2.4 - True or False? Explain. If f(x) x and g ( x ) = x...Ch. 2.4 - Prob. 8FTCh. 2.4 - True or False? Explain. 9. If F(x) = (x –9)2, g(x)...Ch. 2.4 - Prob. 10FTCh. 2.4 - Prob. 1ECh. 2.4 - Prob. 2ECh. 2.4 - Fill in the blank. 3. For two functions f and g,...Ch. 2.4 - Fill in the blank. For two functions f and g, the...Ch. 2.4 - Fill in the blank. 5. If f and g are functions,...Ch. 2.4 - Prob. 6ECh. 2.4 - Let f(x) = x – 3 and g(x) = x2– x. Find and...Ch. 2.4 - Let f(x) = x – 3 and g(x) = x2–x. Find and...Ch. 2.4 - Let f(x) = x – 3 and g(x) = x2– x. Find and...Ch. 2.4 - Let f(x) = x – 3 and g(x) = x2– x. Find and...Ch. 2.4 - Let f(x) = x – 3 and g(x) = x2–x. Find and...Ch. 2.4 - Let f(x) = x – 3 and g(x) = x2– x. Find and...Ch. 2.4 - Let f(x) =x–3 and g(x) = x2– x. Find and simplify...Ch. 2.4 - Let f(x) = x – 3 and g(x) = x2– x. Find and...Ch. 2.4 - Let f(x) = x – 3 and g(x) = x2– x. Find and...Ch. 2.4 - Let f(x) = x – 3 and g(x) = x2– x. Find and...Ch. 2.4 - Let f(x) = x –3 and g(x) = x2 – x. Find and...Ch. 2.4 - Let f(x) = x –3 andg(x) = x2 – x. Find and...Ch. 2.4 - Define the functions f, g, and h as follows: f=...Ch. 2.4 - Define the functions f, g, and h as follows: f=...Ch. 2.4 - Define the functions f, g, and h as follows: f=...Ch. 2.4 - Define the functions f, g, and h as follows: f=...Ch. 2.4 - Define the functions f, g, and h as follows: f=...Ch. 2.4 - Define the functions f, g, and h as follows: f=...Ch. 2.4 - Define the functions f, g, and h as follows: f=...Ch. 2.4 - Define the functions f, g, and h as follows: f=...Ch. 2.4 - Let , and .Find an equation defining each...Ch. 2.4 - Let f ( x ) = x , g ( x ) = x − 4 , and h ( x ) =...Ch. 2.4 - Let , and . Find an equation defining each...Ch. 2.4 - Let f ( x ) = x , g ( x ) = x − 4 , and h ( x ) =...Ch. 2.4 - Let , and .Find an equation defining each...Ch. 2.4 - Le f ( x ) = x , g ( x ) = x − 4 , and h ( x ) = 1...Ch. 2.4 - Let , and . Find an equation defining each...Ch. 2.4 - Let f ( x ) = x , g ( x ) = x − 4 , and h ( x ) =...Ch. 2.4 - Define the functions f, g, and h as follows: f=...Ch. 2.4 - Define the functions f, g, and h as follows: f=...Ch. 2.4 - Define the functions f, g, and h as follows:...Ch. 2.4 - Define the functions f, g, and h as follows:...Ch. 2.4 - Define the functions f, g, and h as...Ch. 2.4 - Define the functions f, g, and h as follows:...Ch. 2.4 - Let f(x) = 3x – 1, g(x) = x2 + 1 and h(x) =. x + 1...Ch. 2.4 - Let f(x) = 3x – 1, g(x) = x2 + 1 and h(x) =. x + 1...Ch. 2.4 - Let f(x) = 3x – 1, g(x) = x2 + 1 and. Evaluate...Ch. 2.4 - Let f(x) = 3x – 1, g(x) = x2 + 1 and. Evaluate...Ch. 2.4 - Let f(x) = 3x –1, g(x) = x2 + 1 and . Evaluate...Ch. 2.4 - Let f(x) = 3x –1, g(x) = x2 + 1 and . Evaluate...Ch. 2.4 - Let f(x) = 3x – 1, g(x) = x2 + 1 and. Evaluate...Ch. 2.4 - Let f(x) = 3x – 1, g(x) = x2 + 1 and. Evaluate...Ch. 2.4 - Let f(x) = 3x –1, g(x) = x2 + 1 and . Evaluate...Ch. 2.4 - Let f(x) = 3x –1, g(x) = x2 + 1 and . Evaluate...Ch. 2.4 - Let f(x) = 3x – 1, g(x) = x2 + 1 and . Evaluate...Ch. 2.4 - Prob. 52ECh. 2.4 - Let f(x) = 3x –1, g(x) = x2 + 1 and . Evaluate...Ch. 2.4 - Prob. 54ECh. 2.4 - Let f(x) = x – 2, g(x) =and h(x) =. Find an...Ch. 2.4 - Let f(x) = x – 2, g(x) =and h(x) =. Find an...Ch. 2.4 - Prob. 57ECh. 2.4 - Prob. 58ECh. 2.4 - Let f ( x ) = x − 2 , g ( x ) = x , and h ( x ) =...Ch. 2.4 - Prob. 60ECh. 2.4 - Let f(x) = x – 2, g(x) =and . Find an equation...Ch. 2.4 - Prob. 62ECh. 2.4 - Prob. 63ECh. 2.4 - Prob. 64ECh. 2.4 - Prob. 65ECh. 2.4 - Prob. 66ECh. 2.4 - Let f(x) = |x|, g(x) = x – 7, and h(x) = x2. Write...Ch. 2.4 - Prob. 68ECh. 2.4 - Prob. 69ECh. 2.4 - Let f(x) = |x|, g(x) = x –7, and h(x)= x2. Write...Ch. 2.4 - Let f(x) = |x|, g(x) = x –7, and h(x) = x2. Write...Ch. 2.4 - Let f(x) = |x|, g(x) = x –7, and h(x) = x2. Write...Ch. 2.4 - Prob. 73ECh. 2.4 - Prob. 74ECh. 2.4 - Prob. 75ECh. 2.4 - Prob. 76ECh. 2.4 - Prob. 77ECh. 2.4 - For each given function f(x), find two functions...Ch. 2.4 - For each given function f(x), find two functions...Ch. 2.4 - Prob. 80ECh. 2.4 - For each given function f(x), find two functions...Ch. 2.4 - Prob. 82ECh. 2.4 - Prob. 83ECh. 2.4 - Prob. 84ECh. 2.4 - Prob. 85ECh. 2.4 - Prob. 86ECh. 2.4 - Prob. 87ECh. 2.4 - Prob. 88ECh. 2.4 - Use the two given functions to write y as a...Ch. 2.4 - Prob. 90ECh. 2.4 - Find each function from the given verbal...Ch. 2.4 - Prob. 92ECh. 2.4 - Prob. 93ECh. 2.4 - Prob. 94ECh. 2.4 - Prob. 95ECh. 2.4 - Prob. 96ECh. 2.4 - Prob. 97ECh. 2.4 - Prob. 98ECh. 2.4 - Prob. 99ECh. 2.4 - Prob. 100ECh. 2.4 - Prob. 101ECh. 2.4 - Prob. 102ECh. 2.4 - Prob. 103ECh. 2.4 - Solve each problem. 104. Profit The revenue in...Ch. 2.4 - Solve each problem. 105. Write the area A of a...Ch. 2.4 - Solve each problem. Write the perimeter of a...Ch. 2.4 - Solve each problem. Deforestation in Nigeria In...Ch. 2.4 - Prob. 108ECh. 2.4 - Prob. 109ECh. 2.4 - Prob. 110ECh. 2.4 - Prob. 111ECh. 2.4 - Prob. 112ECh. 2.4 - Prob. 113ECh. 2.4 - Prob. 114ECh. 2.4 - Prob. 115ECh. 2.4 - Prob. 116ECh. 2.4 - Prob. 117ECh. 2.4 - Prob. 118ECh. 2.4 - Prob. 119ECh. 2.4 - Prob. 120ECh. 2.4 - Prob. 121ECh. 2.4 - Prob. 122ECh. 2.4 - Prob. 123ECh. 2.4 - Prob. 124ECh. 2.4 - Prob. 125ECh. 2.4 - Prob. 126ECh. 2.4 - Prob. 1PQCh. 2.4 - Prob. 2PQCh. 2.4 - Prob. 3PQCh. 2.4 - Prob. 4PQCh. 2.4 - Prob. 5PQCh. 2.4 - Prob. 6PQCh. 2.4 - Prob. 7PQCh. 2.4 - Prob. 8PQCh. 2.4 - Prob. 9PQCh. 2.4 - Prob. LCCh. 2.5 - True or False? Explain. 1. The inverse of the...Ch. 2.5 - True or False? Explain. The function f(x) = –2 is...Ch. 2.5 - Prob. 3FTCh. 2.5 - Prob. 4FTCh. 2.5 - Prob. 5FTCh. 2.5 - Prob. 6FTCh. 2.5 - Prob. 7FTCh. 2.5 - Prob. 8FTCh. 2.5 - True or False? Explain. 9. According to the...Ch. 2.5 - Prob. 10FTCh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Determine whether each function is one-to-one....Ch. 2.5 - Determine whether each function is one-to-one....Ch. 2.5 - Determine whether each function is one-to-one....Ch. 2.5 - Determine whether each function is one-to-one....Ch. 2.5 - Determine whether each function is one-to-one....Ch. 2.5 - Determine whether each function is one-to-one....Ch. 2.5 - Use the horizontal line test to determine whether...Ch. 2.5 - Use the horizontal line test to determine whether...Ch. 2.5 - Use the horizontal line test to determine whether...Ch. 2.5 - Use the horizontal line test to determine whether...Ch. 2.5 - Use the horizontal line test to determine whether...Ch. 2.5 - Use the horizontal line test to determine whether...Ch. 2.5 - Determine whether each function is one-to-one. 19....Ch. 2.5 - Determine whether each function is one-to-one. h (...Ch. 2.5 - Determine whether each function is one-to-one.Ch. 2.5 - Determine whether each function is one-to-one. 22....Ch. 2.5 - Determine whether each function is one-to-one. 23....Ch. 2.5 - Determine whether each function is one-to-one. r (...Ch. 2.5 - Determine whether each function is one-to-one. 25....Ch. 2.5 - Determine whether each function is one-to-one. 26....Ch. 2.5 - Determine whether each function is one-to-one. 27....Ch. 2.5 - Determine whether each function is one-to-one.Ch. 2.5 - Determine whether each function is invertible. If...Ch. 2.5 - Determine whether each function is invertible. If...Ch. 2.5 - Determine whether each function is invertible. If...Ch. 2.5 - Determine whether each function is invertible. If...Ch. 2.5 - Determine whether each function is invertible. If...Ch. 2.5 - Prob. 34ECh. 2.5 - Determine whether each function is invertible. If...Ch. 2.5 - Prob. 36ECh. 2.5 - Determine whether each function is invertible and...Ch. 2.5 - Determine whether each function is invertible and...Ch. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - For each function f find 43. Ch. 2.5 - Prob. 44ECh. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Prob. 47ECh. 2.5 - Prob. 48ECh. 2.5 - Prob. 49ECh. 2.5 - Prob. 50ECh. 2.5 - Find the inverse of each function by reversing a...Ch. 2.5 - Find the inverse of each function by reversing a...Ch. 2.5 - Determine whether each pair of functions f and g...Ch. 2.5 - Determine whether each pair of functions f and g...Ch. 2.5 - Determine whether each pair of functions f and g...Ch. 2.5 - Determine whether each pair of functions f and g...Ch. 2.5 - For each function f sketch the graph of f–1.Ch. 2.5 - For each function f sketch the graph of f–1.Ch. 2.5 - For each function f sketch the graph of f–1. 59....Ch. 2.5 - For each function f sketch the graph of f–1.Ch. 2.5 - Find the inverse of each function and graph both f...Ch. 2.5 - Find the inverse of each function and graph both f...Ch. 2.5 - Find the inverse of each function and graph both f...Ch. 2.5 - Find the inverse of each function and graph both f...Ch. 2.5 - Find the inverse of each function and graph both f...Ch. 2.5 - Find the inverse of each function and graph both f...Ch. 2.5 - Find the inverse of each function and graph both f...Ch. 2.5 - Find the inverse of each function and graph both f...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - Find the inverse of each function using the...Ch. 2.5 - In each case find f(g(x)) and g(f(x)). Then...Ch. 2.5 - In each case find f(g(x)) and g(f(x)). Then...Ch. 2.5 - In each case find f(g(x)) and g(f(x)). Then...Ch. 2.5 - In each case find f(g(x)) and g(f(x)). Then...Ch. 2.5 - In each case find f(g(x)) and g(f(x)). Then...Ch. 2.5 - In each case find f(g(x)) and g(f(x)). Then...Ch. 2.5 - Prob. 89ECh. 2.5 - Prob. 90ECh. 2.5 - Prob. 91ECh. 2.5 - Prob. 92ECh. 2.5 - Solve each problem. 93. Price of a Car The tax on...Ch. 2.5 - Prob. 94ECh. 2.5 - Prob. 95ECh. 2.5 - Solve each problem. Temperature The function...Ch. 2.5 - Solve each problem. Landing Speed The function...Ch. 2.5 - Prob. 98ECh. 2.5 - Prob. 99ECh. 2.5 - Prob. 100ECh. 2.5 - Prob. 101ECh. 2.5 - Prob. 102ECh. 2.5 - Prob. 103ECh. 2.5 - Prob. 104ECh. 2.5 - Prob. 105ECh. 2.5 - Prob. 106ECh. 2.5 - Prob. 107ECh. 2.5 - Prob. 108ECh. 2.5 - Prob. 109ECh. 2.5 - Prob. 110ECh. 2.5 - Prob. 111ECh. 2.5 - Prob. 112ECh. 2.5 - Costly Computers A school district purchased x...Ch. 2.5 - Prob. 114ECh. 2.5 - Prob. 1PQCh. 2.5 - 2. If f = {(5, 4), (3, 6), (2, 5)}, then what is...Ch. 2.5 - Prob. 3PQCh. 2.5 - Prob. 4PQCh. 2.5 - Prob. 5PQCh. 2.5 - Prob. 6PQCh. 2.5 - Prob. 7PQCh. 2.5 - LINKING concepts... For Individual or Group...Ch. 2.6 - True or False? Explain. If the cost of an 800...Ch. 2.6 - True or False? Explain. 2. If bananas are $0.39...Ch. 2.6 - Prob. 3FTCh. 2.6 - Prob. 4FTCh. 2.6 - True or False? Explain. The number πp is a...Ch. 2.6 - Prob. 6FTCh. 2.6 - Prob. 7FTCh. 2.6 - Prob. 8FTCh. 2.6 - Prob. 9FTCh. 2.6 - Prob. 10FTCh. 2.6 - Prob. 1ECh. 2.6 - Fill in the blank. 2. If y = kx, then k is the...Ch. 2.6 - Prob. 3ECh. 2.6 - Prob. 4ECh. 2.6 - Construct a function that expresses the...Ch. 2.6 - Prob. 6ECh. 2.6 - Prob. 7ECh. 2.6 - Construct a function that expresses the...Ch. 2.6 - Prob. 9ECh. 2.6 - Prob. 10ECh. 2.6 - Prob. 11ECh. 2.6 - Construct a function that expresses the...Ch. 2.6 - For each formula that illustrates a type of...Ch. 2.6 - Prob. 14ECh. 2.6 - Prob. 15ECh. 2.6 - Prob. 16ECh. 2.6 - Prob. 17ECh. 2.6 - Prob. 18ECh. 2.6 - Prob. 19ECh. 2.6 - For each formula that illustrates a type of...Ch. 2.6 - Prob. 21ECh. 2.6 - Prob. 22ECh. 2.6 - Prob. 23ECh. 2.6 - Prob. 24ECh. 2.6 - Find the constant of variation and construct the...Ch. 2.6 - Prob. 26ECh. 2.6 - Find the constant of variation and construct the...Ch. 2.6 - Prob. 28ECh. 2.6 - Prob. 29ECh. 2.6 - Prob. 30ECh. 2.6 - Prob. 31ECh. 2.6 - Prob. 32ECh. 2.6 - Prob. 33ECh. 2.6 - Prob. 34ECh. 2.6 - Solve each variation problem. 35. If P is...Ch. 2.6 - Solve each variation problem. 36. If H varies...Ch. 2.6 - Solve each variation problem. 37. If A varies...Ch. 2.6 - Solve each variation problem. 38. If J is jointly...Ch. 2.6 - Solve each variation problem. 39. If y is directly...Ch. 2.6 - Solve each variation problem. 40. If q is directly...Ch. 2.6 - Determine whether the first variable varies...Ch. 2.6 - Prob. 42ECh. 2.6 - Prob. 43ECh. 2.6 - Prob. 44ECh. 2.6 - Prob. 45ECh. 2.6 - Prob. 46ECh. 2.6 - Prob. 47ECh. 2.6 - Prob. 48ECh. 2.6 - Prob. 49ECh. 2.6 - Prob. 50ECh. 2.6 - Prob. 51ECh. 2.6 - Prob. 52ECh. 2.6 - Solve each problem. First-Class Diver The pressure...Ch. 2.6 - Solve each problem. Second Place The elephant seal...Ch. 2.6 - Solve each problem. Processing Oysters The time...Ch. 2.6 - Solve each problem. 56. View from an Airplane The...Ch. 2.6 - Prob. 57ECh. 2.6 - Solve each problem. Free Fall at Six Flags...Ch. 2.6 - Solve each problem. Cost of Plastic Sewer Pipe The...Ch. 2.6 - Solve each problem. 60. Cost of Copper Tubing A...Ch. 2.6 - Prob. 61ECh. 2.6 - Solve each problem. 62. Nitrogen Gas Shock...Ch. 2.6 - Prob. 63ECh. 2.6 - Prob. 64ECh. 2.6 - Prob. 65ECh. 2.6 - Prob. 66ECh. 2.6 - Solve each problem. Grade on an Algebra Test...Ch. 2.6 - Solve each problem. 68. Carpeting a Room The cost...Ch. 2.6 - Prob. 69ECh. 2.6 - Prob. 71ECh. 2.6 - Prob. 72ECh. 2.6 - Prob. 73ECh. 2.6 - Prob. 74ECh. 2.6 - Prob. 75ECh. 2.6 - Prob. 76ECh. 2.6 - Prob. 77ECh. 2.6 - Prob. 78ECh. 2.6 - Prob. 79ECh. 2.6 - Prob. 80ECh. 2.6 - Prob. 1PQCh. 2.6 - Prob. 2PQCh. 2.6 - Prob. 3PQCh. 2.6 - Prob. 4PQCh. 2.6 - Prob. LCCh. 2 - Graph each set of ordered pairs. State the domain...Ch. 2 - Graph each set of ordered pairs. State the domain...Ch. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Graph each set of ordered pairs. State the domain...Ch. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Let f ( x ) = x 2 + 3 a n d g ( x ) = 2 x − 7....Ch. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - Prob. 58RECh. 2 - Prob. 59RECh. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 64RECh. 2 - Prob. 65RECh. 2 - Prob. 66RECh. 2 - Prob. 67RECh. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Prob. 71RECh. 2 - Prob. 72RECh. 2 - Prob. 73RECh. 2 - Prob. 74RECh. 2 - Prob. 75RECh. 2 - Prob. 76RECh. 2 - Prob. 77RECh. 2 - Prob. 78RECh. 2 - Prob. 79RECh. 2 - Prob. 80RECh. 2 - Prob. 81RECh. 2 - Prob. 82RECh. 2 - Prob. 83RECh. 2 - Prob. 84RECh. 2 - Prob. 85RECh. 2 - Prob. 86RECh. 2 - Prob. 87RECh. 2 - Prob. 88RECh. 2 - Prob. 89RECh. 2 - Prob. 90RECh. 2 - Prob. 91RECh. 2 - Prob. 92RECh. 2 - Prob. 93RECh. 2 - Prob. 94RECh. 2 - Prob. 95RECh. 2 - Prob. 96RECh. 2 - Prob. 97RECh. 2 - Prob. 98RECh. 2 - Prob. 99RECh. 2 - Prob. 100RECh. 2 - Prob. 101RECh. 2 - Prob. 102RECh. 2 - Prob. 103RECh. 2 - Prob. 104RECh. 2 - Prob. 105RECh. 2 - Prob. 106RECh. 2 - Prob. 107RECh. 2 - Prob. 108RECh. 2 - Prob. 109RECh. 2 - Prob. 110RECh. 2 - Prob. 111RECh. 2 - Prob. 112RECh. 2 - Prob. 113RECh. 2 - Prob. 114RECh. 2 - Prob. 115RECh. 2 - Prob. 116RECh. 2 - Prob. 117RECh. 2 - Prob. 118RECh. 2 - Prob. 119RECh. 2 - Prob. 120RECh. 2 - Prob. 121RECh. 2 - Prob. 122RECh. 2 - Prob. 123RECh. 2 - Prob. 124RECh. 2 - Prob. 125RECh. 2 - Prob. 126RECh. 2 - Prob. 127RECh. 2 - Prob. 128RECh. 2 - Prob. 129RECh. 2 - Prob. 130RECh. 2 - Area of a Polygon Find the exact area of the...Ch. 2 - Whole Lotta Shakin' At the start of an economic...Ch. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - Determine whether each equation defines y as a...Ch. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 9CTCh. 2 - Prob. 10CTCh. 2 - Prob. 11CTCh. 2 - Prob. 12CTCh. 2 - Prob. 13CTCh. 2 - Prob. 14CTCh. 2 - Prob. 15CTCh. 2 - Prob. 16CTCh. 2 - Prob. 17CTCh. 2 - Prob. 18CTCh. 2 - Prob. 19CTCh. 2 - Prob. 20CTCh. 2 - Prob. 21CTCh. 2 - Prob. 22CTCh. 2 - Prob. 23CTCh. 2 - Prob. 24CTCh. 2 - Prob. 25CTCh. 2 - Prob. 26CTCh. 2 - Prob. 27CTCh. 2 - Prob. 28CTCh. 2 - Solve each equation. 2 x − 3 = 0Ch. 2 - Prob. 2TATCh. 2 - Prob. 3TATCh. 2 - Prob. 4TATCh. 2 - Prob. 5TATCh. 2 - Prob. 6TATCh. 2 - Prob. 7TATCh. 2 - Prob. 8TATCh. 2 - Prob. 9TATCh. 2 - Prob. 10TATCh. 2 - Prob. 11TATCh. 2 - Prob. 12TATCh. 2 - Prob. 13TATCh. 2 - Prob. 14TATCh. 2 - Prob. 15TATCh. 2 - Prob. 16TATCh. 2 - Prob. 17TATCh. 2 - Prob. 18TATCh. 2 - Prob. 19TATCh. 2 - Prob. 20TATCh. 2 - Prob. 21TATCh. 2 - Prob. 22TATCh. 2 - Prob. 23TATCh. 2 - Prob. 24TATCh. 2 - Prob. 25TATCh. 2 - Prob. 26TATCh. 2 - Prob. 27TATCh. 2 - Prob. 28TATCh. 2 - Prob. 29TATCh. 2 - Prob. 30TATCh. 2 - Prob. 31TATCh. 2 - Prob. 32TATCh. 2 - Prob. 33TATCh. 2 - Prob. 34TATCh. 2 - Prob. 35TATCh. 2 - Prob. 36TATCh. 2 - Prob. 37TATCh. 2 - Prob. 38TATCh. 2 - Prob. 39TATCh. 2 - Prob. 40TATCh. 2 - Prob. 41TATCh. 2 - Prob. 42TATCh. 2 - Prob. 43TATCh. 2 - Prob. 44TATCh. 2 - Prob. 45TATCh. 2 - Prob. 46TATCh. 2 - Prob. 47TATCh. 2 - Prob. 48TATCh. 2 - Prob. 49TATCh. 2 - Prob. 50TAT
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