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 39E
To determine

To Find: The maximum or minimum value of the function h(x)=12x2+2x6

Expert Solution

Answer to Problem 39E

The value of minima is h(2)=8

Explanation of Solution

Given: The function is h(x)=12x2+2x6

Calculation:

This is a quadratic function with a=12, and b=2 . Thus, the maximum or minimum value occurs at

  x=b2a=22(12)=21=2

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

  h(2)=12(2)2+2(2)6=8

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!