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Problem 13: Graph the function below. State the range and domain using (x+1 if -9 3 if -3

Problem 13: Graph the function below. State the range and domain using (x+1 if -9 3 if -3

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 55PS
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Problem 10: Use these functions f(x) = 5x? + 3x To evaluate: h(x) = 2x +7 2f(3x) – 3h(x) f(x +3) Problem 11: Find and simplify the difference quotient ((x+h)-f(x) for the function f(x) = x² + 6x + 7 Problem 12: Determine algebraically whether the following functions are even, odd, or neither. -x3 f(x) = 6x2 +9 g(x) = -4x2 +3 Problem 13: Graph the function below. State the range and domain using interval notation. (x +1 f(x) ={ -8 if -9<x<3 if (-x+4 if x = 3 x> 3 if - 3<x<3 if if g(x) = {Ix| 3<x<5 5Sx< 14 Problem 14: Suppose that the x-intercepts of the graph of y = f(x) are 2 and 4. What are the x- intercepts of y = f(-x)? Problem 15: Suppose that the function y = f(x) is decreasing on the interval (2, 5). What can be said about the graph of y = -f(x)?
Transcribed Image Text:Problem 10: Use these functions f(x) = 5x? + 3x To evaluate: h(x) = 2x +7 2f(3x) – 3h(x) f(x +3) Problem 11: Find and simplify the difference quotient ((x+h)-f(x) for the function f(x) = x² + 6x + 7 Problem 12: Determine algebraically whether the following functions are even, odd, or neither. -x3 f(x) = 6x2 +9 g(x) = -4x2 +3 Problem 13: Graph the function below. State the range and domain using interval notation. (x +1 f(x) ={ -8 if -9<x<3 if (-x+4 if x = 3 x> 3 if - 3<x<3 if if g(x) = {Ix| 3<x<5 5Sx< 14 Problem 14: Suppose that the x-intercepts of the graph of y = f(x) are 2 and 4. What are the x- intercepts of y = f(-x)? Problem 15: Suppose that the function y = f(x) is decreasing on the interval (2, 5). What can be said about the graph of y = -f(x)?
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