Problem 1E: In Exercise 1–6, find the domain and range of each function.
1.
Problem 2E: In Exercise 1–6, find the domain and range of each function.
2.
Problem 3E: In Exercise 1–6, find the domain and range of each function.
3.
Problem 4E: In Exercise 1–6, find the domain and range of each function.
4.
Problem 5E: In Exercise 1–6, find the domain and range of each function.
5.
Problem 6E: In Exercise 1–6, find the domain and range of each function.
6.
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 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 . Express the coordinates of P as... 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.
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.
19.
Problem 20E: Functions and Graphs
Find the natural domain and graph the functions in Exercises 15–20.
20.
Problem 21E: Find the domain of .
Problem 22E: Find the range of .
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.
26.
Problem 27E: Graph the functions in Exercise.
Problem 28E: Piecewise-Defined Functions
Graph the functions in Exercises 25–28.
28.
Problem 29E: Find a formula for each function graphed in Exercise.
Problem 30E: Find a formula for each function graphed in Exercise.
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: What real numbers x satisfy the equation
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: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... Problem 38E: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... Problem 39E: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... Problem 40E: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... Problem 41E: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... Problem 42E: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... Problem 43E: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... 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: Graph the functions in Exercise. What symmetries, if any, do the graphs have? Specify the intervals... Problem 47E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 48E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 49E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 50E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 51E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 52E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 53E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 54E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 55E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... 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: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 59E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 60E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 61E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 62E: In Exercise 47–62, say whether the function is even, odd, or neither. Given reasons for your... Problem 63E: The variable s is proportional to t, and s = 25 when t = 75. Determine t when s = 60.
Problem 64E: Kinetic energy The kinetic energy K of a mass is proportional to the square of its velocity v. If K... Problem 65E: The variables r and s are inversely proportional, and r = 6 when s = 4. Determine s when r = 10.
Problem 66E: Boyle’s Law Boyle’s Law says that the volume V of a gas at constant temperature increases whenever... Problem 67E: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 14... Problem 68E: The accompanying figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse... Problem 69E: In Exercises 69 and 70, match each equation with its graph. Do not use a graphing device, and give... Problem 70E: y = 5x
y = 5x
y = x5
Problem 71E: Graph the functions f(x) = x/2 and g(x) = 1 + (4/x) together to identify the values of x for... Problem 72E: Graph the functions f(x) = 3/(x − 1) and g(x) = 2/(x + 1) together to identify the values of x for... Problem 73E: For a curve to be symmetric about the x-axis, the point (x, y) must lie on the curve if and only if... Problem 74E: Three hundred books sell for $40 each, resulting in a revenue of (300)($40) = $12,000. For each $5... Problem 75E: A pen in the shape of an isosceles right triangle with legs of length x ft and hypotenuse of length... Problem 76E: Industrial costs A power plant sits next to a river where the river is 800 ft wide. To lay a new... format_list_bulleted
Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage Learning
Thomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. Freeman
Calculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning