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 40E
To determine

To Find: The maximum or minimum value of the function f(x)=13x2+2x+7

Expert Solution

Answer to Problem 40E

The value of minima is f(3)=10

Explanation of Solution

Given: The function is f(x)=13x2+2x+7

Calculation:

This is a quadratic function with a=13, and b=2 . Thus, the maximum or minimum value occurs at

  x=b2a=22(13)=2(23)=3

Since, a<0 , the function has the maximum value

  f(3)=13(3)2+2(3)+7=10

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