Problem 1E: In Exercise 1–6, find the domain and range of each function.
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Problem 2E: In Exercise 1–6, find the domain and range of each function.
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Problem 3E: In Exercise 16, find the domain and range of each function. 3.F(x)=5x+10 Problem 4E: In Exercise 1–6, find the domain and range of each function.
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Problem 5E: In Exercise 1–6, find the domain and range of each function.
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Problem 6E: In Exercise 1–6, find the domain and range of each function.
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Problem 7E: Which of the graphs are graphs of functions of x, and which are not? Give reasons for your... Problem 8E: Which of the graphs are graphs of functions of x, and which are not? Give reasons for your... Problem 9E: Finding Formulas for functions Express the area and perimeter of an equilateral triangle as a... Problem 10E: Express the side length of a square as a function of the length d of the square’s diagonal. Then... Problem 11E: Express the edge length of a cube as a function of the cube’s diagonal length d. Then express the... Problem 12E: A point P in the first quadrant lies on the graph of the function f(x)=x. Express the coordinates of... Problem 13E: Consider the point (x, y) lying on the graph of the line 2x + 4y = 5. Let L be the distance from the... Problem 14E: Consider the point (x, y) lying on the graph of . Let L be the distance between the points (x, y)... Problem 15E: Find the natural domain and graph the functions in Exercise. f(x)=52x Problem 16E: Find the natural domain and graph the functions in Exercise.
Problem 17E: Find the natural domain and graph the functions in Exercise.
Problem 18E: Find the natural domain and graph the functions in Exercise.
Problem 19E: Functions and Graphs
Find the natural domain and graph the functions in Exercises 15–20.
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Problem 20E: Functions and Graphs
Find the natural domain and graph the functions in Exercises 15–20.
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Problem 21E: Find the domain of .
Problem 22E Problem 23E: Graph the following equations and explain why they are not graphs of functions of x.
|y| = x
y2 =... Problem 24E: Graph the following equations and explain why they are not graphs of functions of x.
|x| + |y| =... Problem 25E: Graph the functions in Exercise.
Problem 26E: Piecewise-Defined Functions
Graph the functions in Exercises 25–28.
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Problem 27E Problem 28E: Piecewise-Defined Functions
Graph the functions in Exercises 25–28.
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Problem 29E: Find a formula for each function graphed in Exercise.
Problem 30E Problem 31E: Find a formula for each function graphed in Exercise.
Problem 32E: Find a formula for each function graphed in Exercise.
Problem 33E: For what values of x is
Problem 34E Problem 35E: Does for all real x? Give reasons for your answer.
Problem 36E: Graph the function
Why is f(x) called the integer part of x?
Problem 37E Problem 38E: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E Problem 44E: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... Problem 45E: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 55E Problem 56E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 57E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 58E Problem 59E Problem 60E Problem 61E: The variables r and s are inversely proportional, and r = 6 when s = 4. Determine s when r = 10.
Problem 62E: Boyle’s Law Boyle’s Law says that the volume V of a gas at constant temperature increases whenever... Problem 63E Problem 64E: The accompanying figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse... Problem 65E: In Exercises 69 and 70, match each equation with its graph. Do not use a graphing device, and give... Problem 66E: y = 5x
y = 5x
y = x5
Problem 67E: Graph the functions f(x) = x/2 and g(x) = 1 + (4/x) together to identify the values of x for... Problem 68E: Graph the functions f(x) = 3/(x − 1) and g(x) = 2/(x + 1) together to identify the values of x for... Problem 69E Problem 70E Problem 71E Problem 72E: Industrial costs A power plant sits next to a river where the river is 800 ft wide. To lay a new... format_list_bulleted