EXAMPLE 4 Finding Local Maxima and Local Minima from the Graph of a Function and Determining Where the Function Is Increasing, Decreasing, or Constant Figure 24 y = f(x) Figure 24 shows the graph of a function f. (a) At what value(s) of x, if any, does f have a local maximum? List the local (1, 2) maximum values. 2 (-1, 1) (b) At what value(s) of x, if any, does f have a local minimum? List the local minimum values. -2 (c) Find the intervals on which f is increasing. Find the intervals on which f is decreasing.
EXAMPLE 4 Finding Local Maxima and Local Minima from the Graph of a Function and Determining Where the Function Is Increasing, Decreasing, or Constant Figure 24 y = f(x) Figure 24 shows the graph of a function f. (a) At what value(s) of x, if any, does f have a local maximum? List the local (1, 2) maximum values. 2 (-1, 1) (b) At what value(s) of x, if any, does f have a local minimum? List the local minimum values. -2 (c) Find the intervals on which f is increasing. Find the intervals on which f is decreasing.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.CT: Chapter Test
Problem 4CT
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