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 33E
To determine

To Find: The maximum or minimum value of the function f(x)=x2+x+1

Expert Solution

Answer to Problem 33E

The value of minima is f(12)=(34)

Explanation of Solution

Given: The function is f(x)=x2+x+1

Calculation:

This is a quadratic function with a=1, and b=1 . Thus, the maximum or minimum value occurs at

  x=b2a=121=12

Since, a>0 , the function has the minimum value.

  f(12)=(12)212+1=34

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