# the local maximum and minimum values of the provided function. ### 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 62E
To determine

## the local maximum and minimum values of the provided function.

Expert Solution

The local maximum is 0.4 and local minimum is 0.4 .

### Explanation of Solution

Given information: the function provided in the question is,

V(x)=1x2+x+1

From the provided information draw a graph using the graphing calculator, Local maximum value of f ( a ) on a graph of f is the highest value on an interval containing a . Therefore, the local maximum value on the provided graph of f is 1.3, at x = -0.5.

The local minimum value of f ( a ) on a graph of f is the lowest value on an interval containing a . The local minimum value on the provided graph is undefined as the function is increasing from -infinity and then decreasing till +infinity.

Hence, the local maximum is 1.3 .

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