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 58RE
To determine

Find the average rate of change of the function between the given points.

Expert Solution

Answer to Problem 58RE

The average rate of change of the function between the given points is 2a+h+2

Explanation of Solution

Given information: Consider the function, f(x)=(x+1)2;      [a,a+h]

Calculation:

Recall the formula for average rate of change is A(x)=f(b)f(a)ba

  =f(a+h)f(a)a+ha=((a+h)+1)2((a+1)2)a+ha         Since f(x)=(x+1)2=1h((a+1)2+(a+h+1)2)=2a+h+2

Thus, the average rate of change of the function between the given points is 2a+h+2

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