Let t be the function whose graph is given below: c) Estimate the value of f'(2) d) Estimate the value of f'(1) e) Estimate the value of f'(-15). f) Estimate the value of f'(3) E) Estimate the value of f'(-3) = Use the function above to answer all of the following: h) Estimate the value of f'(4.25). a) Find the average rate of change on the interval (-1,1). i) Using those estimations sketch a possible graph of f'(x). b) Find the average rate of change on the interval (0,1). ৯

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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2. Let f be the function whose graph is given below:
c) Estimate the value of f'(2) O
d) Estimate the value of f'(1)
e) Estimate the value of f'(-1.5)
f) Estimate the value of f'(3)
B) Estimate the value of f'(-3) =
Use the function above to answer all of the
following:
h) Estimate the value of f'(4.25).
a) Find the average rate of change on the
interval (-1,1].
i) Using those estimations sketch a possible graph of
f'(x),
b) Find the average rate of change on the
interval (0,1].
) Write the equation of the tangent line to the graph
f(x) at x = 0.
Transcribed Image Text:2. Let f be the function whose graph is given below: c) Estimate the value of f'(2) O d) Estimate the value of f'(1) e) Estimate the value of f'(-1.5) f) Estimate the value of f'(3) B) Estimate the value of f'(-3) = Use the function above to answer all of the following: h) Estimate the value of f'(4.25). a) Find the average rate of change on the interval (-1,1]. i) Using those estimations sketch a possible graph of f'(x), b) Find the average rate of change on the interval (0,1]. ) Write the equation of the tangent line to the graph f(x) at x = 0.
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