# Find the minimum value of the function is g ( x ) = 2 x 2 + 4 x − 5

### Precalculus: Mathematics for Calcu...

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

### 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+4x−5

Expert Solution

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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