BuyFind

Precalculus: Mathematics for Calcu...

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

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

Answer to Problem 62E

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,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 3.1, Problem 62E

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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