Concept explainers
(a)
To calculate:An average rate of change for the function
(a)
Answer to Problem 8CT
Solution:
Average rate of change of function
Explanation of Solution
Given information:
The function is
Formula used:
The average rate of change of function
Average rate of change
Calculation:
The average rate of change of
Average rate of change
Substitute
Substitute
Thus, the average rate of change of function is
Therefore, the average rate of change is
(b)
An equation of secant line of function
(b)
Answer to Problem 8CT
Solution:
The equation of secant line of
Explanation of Solution
Given information:
The function is
Slope of the secant line of function
From part (a), average rate of change is
Therefore,
One point on a secant line is
The slope intercept formula is
Substitute
Therefore,
Simplify above equation,
Add
Simplify above equation,
Thus, the equation of secant line is
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
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