# The local maximum and minimum values of the function whose graph is given.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 3.1, Problem 53E
To determine

## To find: The local maximum and minimum values of the function whose graph is given.

Expert Solution

The local maximum value of the function is equal to 0 , 1 and the value of local minimum of the function are 2 and 1 .

### Explanation of Solution

Given information:

The graph of the function is:

Calculation:

As shown in the graph of the function, the point of local maxima of the function are x=0 and x=3 and the points of local minima of the function are x=2 and x=1 .

As shown in the graph, the value of the function at x=0 is equal to 0 and the value of function at x=3 is equal to 1 .

So, the value of local maxima of the function are equal to 0 and 1 .

As shown in the graph, the value of the function at x=2 is equal to 2 and the value of the function at x=1 is equal to 1 .

So, the value of local minima of the function are 2 and 1 .

Therefore, the local maximum value of the function is equal to 0 , 1 and the value of local minimum of the function are 2 and 1 .

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