The graph of a function f is shown. y 800 400 20 [0, 80] O [0, 60] O [10, 50] 40 (a) Find the average rate of change of f on the interval [50, 60]. 60 (b) Identify an interval on which the average rate of change of f is 0. [20, 40] O [10, 40] (c) Compute the following. f(40) - f(0) 40 - 0 What does this value represent geometrically? the slope of the tangent line at (40, f(40)) the slope of the tangent line at (0, f(0)) O the slope of the tangent line at (20, f(20)) the slope of the line segment from (0, f(0)) to (40, f(40))
The graph of a function f is shown. y 800 400 20 [0, 80] O [0, 60] O [10, 50] 40 (a) Find the average rate of change of f on the interval [50, 60]. 60 (b) Identify an interval on which the average rate of change of f is 0. [20, 40] O [10, 40] (c) Compute the following. f(40) - f(0) 40 - 0 What does this value represent geometrically? the slope of the tangent line at (40, f(40)) the slope of the tangent line at (0, f(0)) O the slope of the tangent line at (20, f(20)) the slope of the line segment from (0, f(0)) to (40, f(40))
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
Related questions
Question
![The graph of a function f is shown.
800
J
y
400
20
40
(c) Compute the following.
f(40) - f(0)
40 0
60
(a) Find the average rate of change of f on the interval [50, 60].
X
(b) Identify an interval on which the average rate of change of f is 0.
[20, 40]
[10, 40]
[0, 80]
[0, 60]
O [10, 50]
(d) Estimate the value of f'(50).
What does this value represent geometrically?
the slope of the tangent line at (40, f(40))
the slope of the tangent line at (0, f(0))
the slope of the tangent line at (20, f(20))
the slope of the line segment from (0, f(0)) to (40, f(40))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05718128-2692-4100-90eb-2bb7bf7cd66e%2Fa8cc7160-9167-457f-94cc-7705401e0f0e%2Fnkafsq_processed.png&w=3840&q=75)
Transcribed Image Text:The graph of a function f is shown.
800
J
y
400
20
40
(c) Compute the following.
f(40) - f(0)
40 0
60
(a) Find the average rate of change of f on the interval [50, 60].
X
(b) Identify an interval on which the average rate of change of f is 0.
[20, 40]
[10, 40]
[0, 80]
[0, 60]
O [10, 50]
(d) Estimate the value of f'(50).
What does this value represent geometrically?
the slope of the tangent line at (40, f(40))
the slope of the tangent line at (0, f(0))
the slope of the tangent line at (20, f(20))
the slope of the line segment from (0, f(0)) to (40, f(40))
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