Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is the graph of y = f(x + 2) decreasing?(b) Over what interval is the graph of y = f(x - 5) decreasing?(c) What can be said about the graph of y = - f(x)?(d) What can be said about the graph of y = f( - x)?
Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is the graph of y = f(x + 2) decreasing?(b) Over what interval is the graph of y = f(x - 5) decreasing?(c) What can be said about the graph of y = - f(x)?(d) What can be said about the graph of y = f( - x)?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 84E
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Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].
(a) Over what interval is the graph of y = f(x + 2) decreasing?
(b) Over what interval is the graph of y = f(x - 5) decreasing?
(c) What can be said about the graph of y = - f(x)?
(d) What can be said about the graph of y = f( - x)?
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