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 2, Problem 67RE
To determine

Find the minimum value of the function is g(x)=2x2+4x5

Expert Solution

Answer to Problem 67RE

The minimum value of g(x)=2x2+4x5 is -7

Explanation of Solution

Given information: Consider the function is g(x)=2x2+4x5

Calculation:

This is quadratic equation with a=2,b=4

Thus, the maximum or minimum value occurs at

  x=b2a=42×2=1

Since a>0 , the function has the minimum value

  f(1)=2(1)2+4(1)5=245=7

Thus, the minimum value of g(x)=2x2+4x5 is -7

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