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Chapter 2: Q. 29 (page 90)

The graph of a function f is given. Use the graph to find:

(a) The numbers, if any, at which f has a local maximum value. What are the local maximum values?

(b) The numbers, if any, at which f has a local minimum value. What are the local minimum values?

Short Answer

Expert verified

Part(a) Local maximum value 3 at x=0.

Part(b) Local minimum value 0 at width="122">x=-2andx=2.

Step by step solution

01

Part(a)  Step 1. Given information:

The graph of function f:

02

Part(a)  Step 2. Find local maxima.

From the graph, maximum point we can notice is 0,3.

Therefore, local maximum value is 3 atx=0.

03

Part(b)  Step 1. Find local minima.

From the graph, there are two minimum points that are -2,0and 2,0.

Therefore, local minimum value is 0 at x=-2andx=2.

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