Explanation Approach: The straight line joining two points on a graph is known as a secant line to the graph. 2) Calculation: Given, The graph f ( x ) = 1 − x 3 from x = 2 to x = 4 . First, we find the slope of the secant line which is the same as the average rate of change for f ( x ) = 1 − x 3 from x = 2 to x = 4 . Where, f ( 4 ) = 1 − ( 4 ) 3 = 1 − 64 f ( 4 ) = − 63 f ( 2 ) = 1 − ( 2 ) 3 = 1 − 8 f ( 2 ) = − 7 Slope = Average rate of change m = f ( b ) − f ( a ) b − a Here, b = 4 and a = 2 To determine b) To find: The approximate value of f ( 3 ) , using the secant line equation.

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

6th Edition

ISBN: 9781337111348

Author: Bruce Crauder, Benny Evans, Alan Noell

Publisher: Cengage Learning

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Question

Chapter 3.FR3, Problem 7E

To determine

a)

To find:

The equation of the secant line for the graph of f(x)=1−x3 from x=2 to x=4.

To determine

b)

To find:

The approximate value of f(3), using the secant line equation.

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Chapter 3.FR3, Problem 6E

Chapter 3.FR3, Problem 8E

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a) To find: The equation of the secant line for the graph of f ( x ) = 1 − x 3 from x = 2 to x = 4 .

Solution Summary: The author explains how to find the equation of the secant line for the graph of f(x)=1.

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a)

To find:

The equation of the secant line for the graph of f(x)=1−x3 from x=2 to x=4.

b)

To find:

The approximate value of f(3), using the secant line equation.

Want to see the full answer?

Chapter 3 Solutions

a) To find: The equation of the secant line for the graph of f ( x ) = 1 − x 3 from x = 2 to x = 4 .

Solution Summary: The author explains how to find the equation of the secant line for the graph of f(x)=1.

Concept explainers

Videos

a) To find: The equation of the secant line for the graph of f(x)=1−x3 from x=2 to x=4.

b) To find: The approximate value of f(3), using the secant line equation.

Want to see the full answer?

Chapter 3 Solutions

a)

To find:

The equation of the secant line for the graph of f(x)=1−x3 from x=2 to x=4.

b)

To find:

The approximate value of f(3), using the secant line equation.