Problem 1E: Use the terms domain, range, independent variable, and dependent variable to explain how a function... Problem 2E: Is the independent variable of a function associated with the domain or range? Is the dependent... Problem 3E: Explain how the vertical line test is used to detect functions. Problem 4E: If f(x) = 1/(x3 + 1), what is f(2)? What is f(y2)? Problem 5E: Which statement about a function is true? (i) For each value of x in the domain, there corresponds... Problem 6E: If f(x)=xand g(x) = x3 2, find the compositions and f g, g f, f f, and g g. Problem 7E: Suppose f and g are even functions with f(2) = 2 and g(2) = 2. Evaluate f(g(2)) and g(f(2)). Problem 8E: Explain how to find the domain of f g if you know the domain and range of f and g. Problem 9E: Sketch a graph of an even function f and state how f(x) and f(x) are related. Problem 10E: Sketch a graph of an odd function f and state how f(x) and f(x) are related. Problem 11E: Vertical line test Decide whether graphs A, B, or both represent functions. 11. Problem 12E: Vertical line test Decide whether graphs A, B, or both represent functions. 12. Problem 13E: Domain and range Graph each function with a graphing utility using the given window. Then state the... Problem 14E Problem 15E Problem 16E Problem 17E: Domain and range Graph each function with a graphing utility using the given window. Then state the... Problem 18E: Domain and range Graph each function with a graphing utility using the given window. Then state the... Problem 19E: Domain and range Graph each function with a graphing utility using the given window. Then state the... Problem 20E: Domain and range Graph each function with a graphing utility using the given window. Then state the... Problem 21E: Domain in context Determine an appropriate domain of each function. Identify the independent and... Problem 22E Problem 23E: Domain in context Determine an appropriate domain of each function. Identify the independent and... Problem 24E Problem 25E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 26E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 27E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 28E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 29E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 30E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 31E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 32E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 33E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 34E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 35E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 36E: Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or... Problem 37E Problem 38E Problem 39E Problem 40E: Working with composite functions Find possible choices for the outer and inner functions f and g... Problem 41E: More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the... Problem 42E: More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the... Problem 43E Problem 44E: More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the... Problem 45E: More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the... Problem 46E Problem 47E Problem 48E: More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the... Problem 49E: Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 49. (f ... Problem 50E: Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 50.... Problem 51E: Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 51. (f ... Problem 52E: Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 52. (f ... Problem 53E: Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 53. (g ... Problem 54E: Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 54. (g ... Problem 55E: Composite functions from graphs Use the graphs of f and g in the figure to determine the following... Problem 56E: Composite functions from tables Use the table to evaluate the given compositions. a. h(g(0)) b.... Problem 57E: Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following... Problem 58E: Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following... Problem 59E: Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following... Problem 60E: Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following... Problem 61E: Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following... Problem 62E: Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following... Problem 63E: Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following... Problem 64E: Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following... Problem 65E: Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following... Problem 66E: Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following... Problem 67E: Interpreting the slope of secant lines In each exercise, a function and an interval of its... Problem 68E: Interpreting the slope of secant lines In each exercise, a function and an interval of its... Problem 69E: Interpreting the slope of secant lines In each exercise, a function and an interval of its... Problem 70E Problem 71E: Symmetry Determine whether the graphs of the following equations and functions are symmetric about... Problem 72E: Symmetry Determine whether the graphs of the following equations and functions are symmetric about... Problem 73E: Symmetry Determine whether the graphs of the following equations and functions are symmetric about... Problem 74E: Symmetry Determine whether the graphs of the following equations and functions are symmetric about... Problem 75E Problem 76E Problem 77E: Symmetry Determine whether the graphs of the following equations and functions are symmetric about... Problem 78E: Symmetry Determine whether the graphs of the following equations and functions are symmetric about... Problem 79E Problem 80E: Symmetry in graphs State whether the functions represented by graphs A, B, and C in the figure are... Problem 81E: Explain why or why not Determine whether the following statements are true and give an explanation... Problem 82E Problem 83E: Absolute value graph Use the definition of absolute value to graph the equation |x| |y| = 1. Use a... Problem 84E: Even and odd at the origin a. If f(0) is defined and f is an even function, is it necessarily true... Problem 85E: Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:... Problem 86E: Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:... Problem 87E: Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:... Problem 88E: Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:... Problem 89E: Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing... Problem 90E: Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing... Problem 91E: Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing... Problem 92E: Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing... Problem 93E: Launching a rocket A small rocket is launched vertically upward from the edge of a cliff 80 ft off... Problem 94E Problem 95E: Combining even and odd functions Let E be an even function and O be an odd function. Determine the... Problem 96E: Combining even and odd functions Let E be an even function and O be an odd function. Determine the... Problem 97E Problem 98E: Combining even and odd functions Let E be an even function and O be an odd function. Determine the... Problem 99E: Combining even and odd functions Let E be an even function and O be an odd function. Determine the... Problem 100E: Combining even and odd functions Let E be an even function and O be an odd function. Determine the... Problem 101E: Combining even and odd functions Let E be an even function and O be an odd function. Determine the... Problem 102E: Composition of even and odd functions from tables Assume f is an even function and g is an odd... Problem 103E: Composition of even and odd functions from graphs Assume f is an even function and g is an odd... format_list_bulleted
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