EXAMPLE 7 Finding Intervals Where a Function Increases and Decreases (a) Sketch the graph of the function f(x) = x2/3. (b) Find the domain and range of the function. (c) Find the intervals on whichf is increasing and on which f is decreasing.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 40E
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EXAMPLE 7 Finding Intervals Where a Function
Increases and Decreases
(a) Sketch the graph of the function f(x) = x2/3.
(b) Find the domain and range of the function.
(c) Find the intervals on whichf is increasing and on which f is decreasing.
Transcribed Image Text:EXAMPLE 7 Finding Intervals Where a Function Increases and Decreases (a) Sketch the graph of the function f(x) = x2/3. (b) Find the domain and range of the function. (c) Find the intervals on whichf is increasing and on which f is decreasing.
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