If the graph of y=​f(x) is increasing on ​(4​,7​), then where is the graph of y=​f(x+3​)−4 ​increasing? Where is the graph of y=−​f(x−6​) decreasing?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.2: Solving Inequalities
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If the graph of y=​f(x) is increasing on ​(4​,7​), then where is the graph of y=​f(x+3​)−4 ​increasing? Where is the graph of y=−​f(x−6​) decreasing?

The graph of y=​f(x+3​)−4 is increasing on ____.
(Simplify the answer. Write the answer in interval notation. Use integers or fractions for any numbers in the expression.)

The graph of y=−​f(x−6​) is decreasing on ____.
(Simplify the answer. Write the answer in interval notation. Use integers or fractions for any numbers in the expression.)

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