College Algebra: Graphs and Models, Books a la Carte Edition plus MyLab Math with Pearson eText -- Access Card Package (6th Edition)
6th Edition
ISBN: 9780134264523
Author: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
Publisher: PEARSON
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Chapter 2.5, Problem 77E
To determine
Match the function g with one of the graph (a)-(h).
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In Exercises 11–18, graph each function by making a table of
coordinates. If applicable, use a graphing utility to confirm your
hand-drawn graph.
11. f(x) = 4"
13. g(x) = ()*
15. h(x) = (})*
17. f(x) = (0.6)
12. f(x) = 5"
14. g(x) = ()
16. h(x) = (})*
18. f(x) = (0.8)*
%3!
Exercises 121–140: (Refer to Examples 12–14.) Complete
the following for the given f(x).
(a) Find f(x + h).
(b) Find the difference quotient of f and simplify.
121. f(x) = 3
122. f(x) = -5
123. f(x) = 2x + 1
124. f(x) = -3x + 4
%3D
125. f(x) = 4x + 3
126. f(x) = 5x – 6
127. f(x) = -6x² - x + 4
128. f(x) = x² + 4x
129. f(x) = 1 – x²
130. f(x) = 3x²
131. f(x) =
132. /(x) 3D글
= =
132. f(:
133. f(x) = 3x² + 1
134. f(x) = x² –- 2
135. f(x) = -x² + 2r
136. f(x) = -4xr² + 1
137. f(x) = 2x - x +1 138. f(x) = x² + 3x - 2
139. f(x) = x'
140. f(x) = 1 – x
In Exercises 20–22, find the domain of each function.
20. f(x) = 7x - 3
1
21. g(x)
x + 8
3x
22. f(x) = x +
x - 5
Chapter 2 Solutions
College Algebra: Graphs and Models, Books a la Carte Edition plus MyLab Math with Pearson eText -- Access Card Package (6th Edition)
Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Prob. 7ECh. 2.1 - Detemine the domain and the range of each of the...Ch. 2.1 - Detemine the domain and the range of each of the...Ch. 2.1 - Detemine the domain and the range of each of the...
Ch. 2.1 - Detemine the domain and the range of each of the...Ch. 2.1 - Detemine the domain and the range of each of the...Ch. 2.1 - Using the graph, determine any relative maxima or...Ch. 2.1 - Using the graph, determine any relative maxima or...Ch. 2.1 - Using the graph, determine any relative maxima or...Ch. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Graph the function. Estimate the intervals on...Ch. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Graph the function. Estimate the intervals on...Ch. 2.1 - Graph the function using the given viewing window....Ch. 2.1 - Graph the function using the given viewing window....Ch. 2.1 - Prob. 25ECh. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Lumberyard. Ricks lumberyard has 480 yd of fencing...Ch. 2.1 - Triangular Flag. A seamstress is designing a...Ch. 2.1 - Blimp Distance. The Goodyear Blimp can be seen...Ch. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Carpet Area. A carpet installer uses 46 ft of...Ch. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 42ECh. 2.1 - Prob. 43ECh. 2.1 - Office File. Designs Unlimited plans to produce a...Ch. 2.1 - Prob. 45ECh. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.1 - Prob. 48ECh. 2.1 - Prob. 49ECh. 2.1 - Prob. 50ECh. 2.1 - Graph each of the following functions. Check your...Ch. 2.1 - Prob. 52ECh. 2.1 - Prob. 53ECh. 2.1 - Prob. 54ECh. 2.1 - Prob. 55ECh. 2.1 - Prob. 56ECh. 2.1 - Prob. 57ECh. 2.1 - Prob. 58ECh. 2.1 - Graph each of the following functions. Check your...Ch. 2.1 - Graph each of the following functions. Check your...Ch. 2.1 - Prob. 61ECh. 2.1 - Prob. 62ECh. 2.1 - Prob. 63ECh. 2.1 - Prob. 64ECh. 2.1 - Prob. 65ECh. 2.1 - Prob. 66ECh. 2.1 - Prob. 67ECh. 2.1 - Prob. 68ECh. 2.1 - Find the domain and the range of each of the...Ch. 2.1 - Prob. 70ECh. 2.1 - Prob. 71ECh. 2.1 - Prob. 72ECh. 2.1 - Prob. 73ECh. 2.1 - Prob. 74ECh. 2.1 - Prob. 75ECh. 2.1 - Prob. 76ECh. 2.1 - Prob. 77ECh. 2.1 - Prob. 78ECh. 2.1 - Prob. 79ECh. 2.1 - Prob. 80ECh. 2.1 - Prob. 81ECh. 2.1 - Prob. 82ECh. 2.1 - Prob. 83ECh. 2.1 - Prob. 84ECh. 2.1 - Prob. 85ECh. 2.1 - Minimizing Power Line Costs. A power line is...Ch. 2.1 - Volume of an Inscribed Cylinder. A right circular...Ch. 2.2 - Prob. 1ECh. 2.2 - Given that f(x) = x2 3 and g(x) = 2x + 1, find...Ch. 2.2 - Given that f(x) = x2 3 and g(x) = 2x + 1, find...Ch. 2.2 - Given that f(x) = x2 3 and g(x) = 2x + 1, find...Ch. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Prob. 11ECh. 2.2 - Given that h(x) = x + 4 and g(x)=x1, find each of...Ch. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - Prob. 17ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 19ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 21ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 23ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 25ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 27ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 29ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 31ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 4146, consider the functions F and G...Ch. 2.2 - Prob. 42ECh. 2.2 - In Exercises 4146, consider the functions F and G...Ch. 2.2 - In Exercises 4146, consider the functions F and G...Ch. 2.2 - Prob. 45ECh. 2.2 - Prob. 46ECh. 2.2 - Prob. 47ECh. 2.2 - Total Cost, Revenue, and Profit. Given that R(x) =...Ch. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 50ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 52ECh. 2.2 - Prob. 53ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 55ECh. 2.2 - Prob. 56ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 58ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 64ECh. 2.2 - Prob. 65ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 67ECh. 2.2 - Prob. 68ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 70ECh. 2.2 - Prob. 71ECh. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.2 - Prob. 74ECh. 2.2 - Prob. 75ECh. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 2ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 5ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 26ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 28ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 38ECh. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Prob. 40ECh. 2.3 - Prob. 41ECh. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Prob. 44ECh. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Prob. 46ECh. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Prob. 50ECh. 2.3 - Ripple Spread. A stone is thrown into a pond,...Ch. 2.3 - The surface area S of a right circular cylinder is...Ch. 2.3 - Prob. 53ECh. 2.3 - Prob. 54ECh. 2.3 - Prob. 55ECh. 2.3 - Prob. 56ECh. 2.3 - Prob. 57ECh. 2.3 - Consider the following linear equations. Without...Ch. 2.3 - Prob. 59ECh. 2.3 - Prob. 60ECh. 2.3 - Prob. 61ECh. 2.3 - Prob. 62ECh. 2.3 - Prob. 63ECh. 2.3 - Prob. 64ECh. 2.4 - Determine visually whether the graph is symmetric...Ch. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Determine visually whether the graph is symmetric...Ch. 2.4 - Prob. 6ECh. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - Prob. 13ECh. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - Prob. 18ECh. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Prob. 25ECh. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Prob. 28ECh. 2.4 - Prob. 29ECh. 2.4 - Prob. 30ECh. 2.4 - Prob. 31ECh. 2.4 - Prob. 32ECh. 2.4 - Prob. 33ECh. 2.4 - Prob. 34ECh. 2.4 - Prob. 35ECh. 2.4 - Determine visually whether the function is even,...Ch. 2.4 - Prob. 37ECh. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prob. 42ECh. 2.4 - Prob. 43ECh. 2.4 - Prob. 44ECh. 2.4 - Determine algebraically whether the function is...Ch. 2.4 - Prob. 46ECh. 2.4 - Prob. 47ECh. 2.4 - Prob. 48ECh. 2.4 - Graph: f(x)={x2forx1,3,for1x2,x,forx2.Ch. 2.4 - Peace Corps Volunteers. Since 1961, there has been...Ch. 2.4 - Determine whether the function is even, odd, or...Ch. 2.4 - Determine whether the function is even, odd. or...Ch. 2.4 - Determine whether the graph is symmetric with...Ch. 2.4 - Determine whether the graph is symmetric with...Ch. 2.4 - Show that if f is any function, then the function...Ch. 2.4 - Show that if f is any function, then the function...Ch. 2.4 - Consider the functions E and O of Exercises 55 and...Ch. 2.4 - Determine whether the statement is true or false....Ch. 2.4 - Prob. 59ECh. 2.4 - Prob. 60ECh. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Prob. 4ECh. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Prob. 10ECh. 2.5 - Prob. 11ECh. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Prob. 23ECh. 2.5 - Prob. 24ECh. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Prob. 31ECh. 2.5 - Prob. 32ECh. 2.5 - Prob. 33ECh. 2.5 - Prob. 34ECh. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - Prob. 43ECh. 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 - Prob. 51ECh. 2.5 - Prob. 52ECh. 2.5 - Prob. 53ECh. 2.5 - Prob. 54ECh. 2.5 - Prob. 55ECh. 2.5 - Prob. 56ECh. 2.5 - Prob. 57ECh. 2.5 - Prob. 58ECh. 2.5 - Prob. 59ECh. 2.5 - Prob. 60ECh. 2.5 - Prob. 61ECh. 2.5 - Prob. 62ECh. 2.5 - Prob. 63ECh. 2.5 - Prob. 64ECh. 2.5 - Prob. 65ECh. 2.5 - A graph of y=f(x) follows. No formula for f is...Ch. 2.5 - Prob. 67ECh. 2.5 - Prob. 68ECh. 2.5 - Prob. 69ECh. 2.5 - Prob. 70ECh. 2.5 - Prob. 71ECh. 2.5 - Prob. 72ECh. 2.5 - Prob. 73ECh. 2.5 - Prob. 74ECh. 2.5 - Prob. 75ECh. 2.5 - Prob. 76ECh. 2.5 - Prob. 77ECh. 2.5 - Prob. 78ECh. 2.5 - Prob. 79ECh. 2.5 - Prob. 80ECh. 2.5 - Prob. 81ECh. 2.5 - Prob. 82ECh. 2.5 - Prob. 83ECh. 2.5 - Prob. 84ECh. 2.5 - Prob. 85ECh. 2.5 - Prob. 86ECh. 2.5 - Prob. 87ECh. 2.5 - Prob. 88ECh. 2.5 - Prob. 89ECh. 2.5 - Prob. 90ECh. 2.5 - Prob. 91ECh. 2.5 - Prob. 92ECh. 2.5 - Prob. 93ECh. 2.5 - Prob. 94ECh. 2.5 - Graph each of the following using a graphing...Ch. 2.5 - Prob. 96ECh. 2.5 - Prob. 97ECh. 2.5 - Prob. 98ECh. 2.6 - Find the variation constant and an equation of...Ch. 2.6 - Find the variation constant and an equation of...Ch. 2.6 - Prob. 3ECh. 2.6 - Prob. 4ECh. 2.6 - Prob. 5ECh. 2.6 - Prob. 6ECh. 2.6 - Prob. 7ECh. 2.6 - Prob. 8ECh. 2.6 - Prob. 9ECh. 2.6 - Prob. 10ECh. 2.6 - Prob. 11ECh. 2.6 - Prob. 12ECh. 2.6 - Prob. 13ECh. 2.6 - Prob. 14ECh. 2.6 - Prob. 15ECh. 2.6 - Prob. 16ECh. 2.6 - Prob. 17ECh. 2.6 - House of Representatives. The number of...Ch. 2.6 - Prob. 19ECh. 2.6 - Prob. 20ECh. 2.6 - Prob. 21ECh. 2.6 - Prob. 22ECh. 2.6 - Musical Pitch. The pitch P of a musical tone...Ch. 2.6 - Prob. 24ECh. 2.6 - Prob. 25ECh. 2.6 - Prob. 26ECh. 2.6 - Prob. 27ECh. 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 - Prob. 35ECh. 2.6 - Prob. 36ECh. 2.6 - Prob. 37ECh. 2.6 - Prob. 38ECh. 2.6 - Prob. 39ECh. 2.6 - Prob. 40ECh. 2.6 - In each of Exercises 4145, fill in the blank with...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 - Determine whether the statement is true or false....Ch. 2 - Determine whether the statement is true or false....Ch. 2 - Determine whether the statement is true or false....Ch. 2 - Prob. 4MCCh. 2 - Prob. 5MCCh. 2 - Determine the domain and the range of the function...Ch. 2 - Prob. 7MCCh. 2 - For the function defined as...Ch. 2 - Prob. 9MCCh. 2 - Prob. 10MCCh. 2 - Given that f(x) = 3x 1 and g(x) = x2 + 4, find...Ch. 2 - Prob. 12MCCh. 2 - Prob. 13MCCh. 2 - Prob. 14MCCh. 2 - For each pair of functions in Exercises 14 and 15:...Ch. 2 - Prob. 16MCCh. 2 - For each function f in Exercises 16 and 17,...Ch. 2 - Prob. 18MCCh. 2 - Given that f(x) = 5x 4, g(x) = x3 + 1, and h(x) =...Ch. 2 - Prob. 20MCCh. 2 - Prob. 21MCCh. 2 - Prob. 22MCCh. 2 - Find (f g) (x) and (g f) (x) and the domain of...Ch. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 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 - Prob. 33RECh. 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 - The graph of the function f is shown below. The...Ch. 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. 1TCh. 2 - Prob. 2TCh. 2 - Prob. 3TCh. 2 - Prob. 4TCh. 2 - Prob. 5TCh. 2 - Prob. 6TCh. 2 - Prob. 7TCh. 2 - Prob. 8TCh. 2 - Prob. 9TCh. 2 - Prob. 10TCh. 2 - Prob. 11TCh. 2 - Prob. 12TCh. 2 - Prob. 13TCh. 2 - Prob. 14TCh. 2 - Prob. 15TCh. 2 - Prob. 16TCh. 2 - Prob. 17TCh. 2 - Prob. 18TCh. 2 - Prob. 19TCh. 2 - Prob. 20TCh. 2 - Prob. 21TCh. 2 - Prob. 22TCh. 2 - Prob. 23TCh. 2 - Prob. 24TCh. 2 - Prob. 25TCh. 2 - Prob. 26TCh. 2 - Prob. 27TCh. 2 - Prob. 28TCh. 2 - Prob. 29TCh. 2 - Prob. 30TCh. 2 - Prob. 31TCh. 2 - Prob. 32TCh. 2 - Prob. 33TCh. 2 - Prob. 34TCh. 2 - Prob. 35TCh. 2 - Prob. 36TCh. 2 - Prob. 37TCh. 2 - Prob. 38TCh. 2 - Prob. 39TCh. 2 - If (3, 1) is a point on the graph of y = f(x),...
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- In Exercises 65–70, use the graph of f to find each indicated function value. y = f(x) 65. f(-2) 66. f(2) -5 -4--2 2 4 5 67. f(4) 68. f(-4) 69. f(-3) 70. f(-1)arrow_forwardYour cardiac index is your heart's output, in liters of blood per minute, divided by your body's surface area, in square meters. The cardiac index, C(x), can be modeled by 7.644 C(x) = 10 s xs 80, where x is an individual's age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96. 7.644 C(x) = %3D 10 20 30 40 50 60 70 80 90 Age 95. a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction. b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph. 96. a. Find the cardiac index of an 80-year-old. Express the denominator in simplified radical form and reduce the fraction. Cardiac Index liters per minute squar e met ers 654 32arrow_forwardI need help with these practice problemsarrow_forward
- Question #22arrow_forwardExercises 101–103 will help you prepare for the material covered in the next section. Use the graph of function f to solve each exercise. 5- 4- 3- 2- 1- -5-4 1 2 3 45 y = flx) 101. For what values of x is the function undefined? 102. Write the equation of the vertical asymptote, or the vertical line that the graph of f approaches but does not touch. 103. Write the equation of the horizontal asymptote, or the horizontal line that the graph of f approaches but does not touch.arrow_forwardFor Exercises 57–62, find and simplify f(x + h). (See Example 6) 59. f(x) = 7 – 3x 62. f(x) = x – 4x + 2 57. f(x) = -4x – 5x + 2 58. f(x) = -2x² + 6x – 3 60. f(x) = 11 – 5x² 61. f(x) = x' + 2x – 5arrow_forward
- For Exercises 9–18, graph the functions by plotting points or by using a graphing utility. Explain how the graphs are related. 9. a. f(x) = x b. g(x) = x + 2 c. h(x) = x² – 4 13. a. f(x) = |x| b. g(x) = -|x| 16. a. f(x) = |x| 1 b. g(x) = x| 14. a. f(x) = Vĩ b. g(x) = - Vĩ c. h(x) = 3|x| 10. a. f(x) = |x| b. g(x) = |x|+ 2 c. h(x) = |x| – 4 17. a. f(x) = V b. g(x) = V-x 15. a. f(x) = ? %3D b. g(x) = 11. a. f(x) = Vx b. g(x) = Vx – 2 c. h(x) = Vx + 4 18. a. f(x) = VI b. g(x) = V-x c. h(x) = 2r 12. a. f(x) = x b. g(x) = (x – 2)? c. h(x) = (x + 3)?arrow_forwardFor Exercises 75–84, determine the r- and y-intercepts for the given function. (See Example 7) 75. f(x) = 2x – 4 76. g(x) = 3x – 12 77. h(x) = |x| – 8 78. k(x) = -|x| + 2 79. p(x) = -x + 12 80. q(x) = - 8 81. r(x) = |x – 8| 82. s(x) = |x + 3| 83. f(x) = Vx – 2 84. g(x) = – Vx + 3arrow_forwardAlgebraic Modelingarrow_forward
- In Exercises 45–52, find the domain and range of the function. 45. f(x) — —х 46. g(t) = t4 47. f(x) = x³ 48. g(t) = /2 – t 49. f(x)= |x| 50. h(s) %3D 1 51. f(x) = 52. g(t) = x2arrow_forwardIn Exercises 43 and 44, graph the functions. Notice in each case that the numerator and denominator contain at least one com- mon factor. Thus you can simplify each quotient; but don't lose track of the domain of the function as it was initially defined. x + 2 x² - 4 43. (a) y (b) y = (c) y = X + 2 X-2 X-1 (x - 1)(x-2)arrow_forwarde graph above shows the f -2-arrow_forward
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