Computing the Limit of a Difference Quotient In this activity, you will compute the limit of a difference quotient to determine the rate of change of a function at different points along its curve. Part A Consider the function fo) =x-4r +2, Calculate the limit of the difference quotient at xp3 for fx). BIU X X,L Characters used: 0/15000 Part B Find the equation of a line passing through the same point that fx) passes through at x 3 with a slope equal to the limit you found in part A. BI X X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Computing the Limit of a Difference Quotient
In this activity, you will compute the limit of a difference quotient to determine the rate of change of a function at different points along its curve.
Part A
Consider the function fo) =x-4r+2. Calculate the limit of the difference quotient at xo3 for fx).
BIU X X, L
図v田。
Characters used: 0/15000
Part B
Find the equation of a line passing through the same point that fix) passes through at x 3 with a slope equal to the limit you found in part A.
BIUX X,
=市 明州 図v 田、
Part C
Graph the function f(x) and the line you identified in part B. How do the graphs relate to each other? What does the slope of the line represent
about the function at the given point?
BIU X X,
即帅
Transcribed Image Text:Computing the Limit of a Difference Quotient In this activity, you will compute the limit of a difference quotient to determine the rate of change of a function at different points along its curve. Part A Consider the function fo) =x-4r+2. Calculate the limit of the difference quotient at xo3 for fx). BIU X X, L 図v田。 Characters used: 0/15000 Part B Find the equation of a line passing through the same point that fix) passes through at x 3 with a slope equal to the limit you found in part A. BIUX X, =市 明州 図v 田、 Part C Graph the function f(x) and the line you identified in part B. How do the graphs relate to each other? What does the slope of the line represent about the function at the given point? BIU X X, 即帅
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