Math Problem Statement
Using the given graph of the function f, find the following. (a) The numbers, if any, at which f has a local maximum. What are these local maximum values? (b) The numbers, if any, at which f has a local minimum. What are these local minimum values? x y negative pipinegative StartFraction pi Over 2 EndFraction StartFraction pi Over 2 EndFraction left parenthesis StartFraction pi Over 2 EndFraction comma 4 right parenthesis left parenthesis negative StartFraction pi Over 2 EndFraction comma negative 4 right parenthesis
A coordinate system has a horizontal xaxis and a vertical yaxis. From left to right, a curve falls in quadrant 2 through the plotted point (negative pi, 0) to the plotted point (StartFraction negative pi Over 2 EndFraction, negative 4), rises through the origin to the plotted point (StartFraction pi Over 2 EndFraction, 4), and falls passing through the plotted point (pi, 0). Question content area bottom Part 1 (a) Find the value(s) of x at which f has a local maximum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. xequals
StartFraction pi Over 2 EndFraction (Type an exact answer, using pi as needed. Use a comma to separate answers as needed.) Your answer is correct.B. There is no local maximum value. Part 2 Find the local maximum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local maximum is
enter your response here. (Type an exact answer, using pi as needed. Use a comma to separate answers as needed.) B. There is no local maximum.
Solution
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Math Problem Analysis
Mathematical Concepts
Functions
Local Extrema
Graph Analysis
Formulas

Theorems

Suitable Grade Level
High School