   Chapter 9, Problem 50RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Use the following graph of f(x) to complete Problems 49 and 50. Rank the following from smallest to largest and explain. A : f ' ( 2 )                   B : f ' (   6 ) C: the average rate of change of f(x) over [2, 10]

To determine

To calculate: The rank the following from smallest to largest A:f(2),B:f(6) and C: the average rate of change of f(x) over [2,10] also explain it and the graph for the function is, Explanation

Given Information:

The graph of the function is

Formula used:

The average rate of change or the slope of the line passing through (x1,y1) and (x2,y2),

f=y2y1x2x1

Calculation:

Consider the provided graph,

From the graph it can be observed that at x=2 the tangent line is horizontal line. So, slope of the horizontal line is zero.

The slope at x=2 is zero. Thus, the value of f(2) is 0.

To find the value of f(6) draw a tangent line passing through (4,1) and (8,1).

Thus, the value of f(6) is the slope of the tangent line passing through (4,1) and (8,1)

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