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 42E
To determine

To Find: The maximum or minimum value of the function g(x)=2x28x+7

Expert Solution

Answer to Problem 42E

The value of minima is f(2)=1

Explanation of Solution

Given: The function is g(x)=2x28x+7

Calculation:

This is a quadratic function with a=2, and b=8 . Thus, the maximum or minimum value occurs at

  x=b2a=82(2)=8(4)=2

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

  f(2)=2(2)28(2)+7=1

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