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 57RE
To determine

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

Expert Solution

Answer to Problem 57RE

The average rate of change of the function between the given points is 13h+9

Explanation of Solution

Given information: Consider the function, f(x)=1x;      [3,3+h]

Calculation:

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

  =f(3+h)f(3)3+h3=13+h13h         Since f(x)=1x=h3h(3+h)=13h+9

Thus, the average rate of change of the function between the given points is 13h+9

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