Suppose that a function y = f(x) is increasing on the interval (3,9). (a) Over what interval is the graph of y = f(x + 8) increasing? The graph of y = f(x + 8) is increasing over the interval (Type your answer in interval notation.) (b) Over what interval is the graph of y = f(x - 5) increasing? The graph of y= f(x - 5) is increasing over the interval (Type your answer in interval notation.) (c) What can be said about the graph of y = - f(x)? Choose the statement below that is true about y = - f(x). O A. The graph of y = - f(x) is decreasing on the interval (- 9, – 3). B. The graph of y = - f(x) is increasing on the interval (3,9). C. The graph of y = - f(x) is increasing on the interval (- 9, – 3). O D. The graph of y = - f(x) is decreasing on the interval (3,9). (d) What can be said about the graph of y = f(- x)? Choose the statement below that is true about y = f(- x). A. The graph of y = f(- x) is increasing on the interval (3,9). B. The graph of y = f(- x) is increasing on the interval (- 9, - 3). C. The graph of y = f(- x) is decreasing on the interval (- 9, - 3). D. The graph of y = f(- x) is decreasing on the interval (3,9).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Suppose that a function y = f(x) is increasing on the interval (3,9).
(a) Over what interval is the graph of y = f(x + 8) increasing?
The graph of y = f(x + 8) is increasing over the interval
(Type your answer in interval notation.)
(b) Over what interval is the graph of y = f(x - 5) increasing?
The graph of y= f(x - 5) is increasing over the interval
(Type your answer in interval notation.)
(c) What can be said about the graph of y = - f(x)?
Choose the statement below that is true about y = - f(x).
O A. The graph of y = - f(x) is decreasing on the interval (- 9, – 3).
B. The graph of y = - f(x) is increasing on the interval (3,9).
C. The graph of y = - f(x) is increasing on the interval (- 9, – 3).
O D. The graph of y = - f(x) is decreasing on the interval (3,9).
Transcribed Image Text:Suppose that a function y = f(x) is increasing on the interval (3,9). (a) Over what interval is the graph of y = f(x + 8) increasing? The graph of y = f(x + 8) is increasing over the interval (Type your answer in interval notation.) (b) Over what interval is the graph of y = f(x - 5) increasing? The graph of y= f(x - 5) is increasing over the interval (Type your answer in interval notation.) (c) What can be said about the graph of y = - f(x)? Choose the statement below that is true about y = - f(x). O A. The graph of y = - f(x) is decreasing on the interval (- 9, – 3). B. The graph of y = - f(x) is increasing on the interval (3,9). C. The graph of y = - f(x) is increasing on the interval (- 9, – 3). O D. The graph of y = - f(x) is decreasing on the interval (3,9).
(d) What can be said about the graph of y = f(- x)?
Choose the statement below that is true about y = f(- x).
A. The graph of y = f(- x) is increasing on the interval (3,9).
B. The graph of y = f(- x) is increasing on the interval (- 9, - 3).
C. The graph of y = f(- x) is decreasing on the interval (- 9, - 3).
D. The graph of y = f(- x) is decreasing on the interval (3,9).
Transcribed Image Text:(d) What can be said about the graph of y = f(- x)? Choose the statement below that is true about y = f(- x). A. The graph of y = f(- x) is increasing on the interval (3,9). B. The graph of y = f(- x) is increasing on the interval (- 9, - 3). C. The graph of y = f(- x) is decreasing on the interval (- 9, - 3). D. The graph of y = f(- x) is decreasing on the interval (3,9).
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