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Chapter 2: Q. 30 (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 2 at x=0.

Part(b) Local minimum value 0 at x=-1andx=1.

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 (0,2).

Therefore, local maximum value is 2 atx=0.

03

Part(b)  Step 1. Find local minima.

From the graph, there are two minimum points which are -1,0and(1,0).

Therefore, local minimum value is 0 atx=-1andx=1.

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