Use the average of the average rates of change over the left and right intervals at the given points whenever possible (at the endpoints, you will have to use just the left or right interval). Round your answers to one decimal place.x012345678f(x)4613982-6-17a. f′(5)≈b. f′(8)≈c. At which value of xx is the rate of change the greatest? (If the greatest value occurs at more than one value of xx, then enter as your answer the least such value of x.)

The average rate of change at a point is given by, Rf'(x)=f(x+1)-f(x)x+1-xLf'(x)=f(x)-f(x-1)x-(x-1)

Answered: Use the average of the average rates of…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Use the average of the average rates of change over the left and right intervals at the given points whenever possible (at the endpoints, you will have to use just the left or right interval). Round your answers to one decimal place.

x	0	1	2	3	4	5	6	7	8
f(x)	4	6	13	9	8	2	-6	-1	7

a. f′(5)≈

b. f′(8)≈

c. At which value of xx is the rate of change the greatest? (If the greatest value occurs at more than one value of xx, then enter as your answer the least such value of x.)

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