The graph of a function f is shown. 800 400 20 40 60 (a) Find the average rate of change of f on the interval [10, 60]. (Round your answer to the nearest integer.) (b) Identify an interval on which the average rate of change of f is 0. O [0, 80] O [10, 40] [10, 50] O [20, 40] O [0, 60] (c) Which interval gives a larger average rate of change, [40, 50] or [40, 80]? O [40, 50] O [40, 80] (d) Compute f(40)-f(10) 40 10 What does this value represent geometrically? O the slope of the tangent line at (15, f(15)) the slope of the line segment from (10, f(10)) to (40, F(40)) the slope of the tangent line at (10, f(10)) the slope of the tangent line at (40, f(40))
The graph of a function f is shown. 800 400 20 40 60 (a) Find the average rate of change of f on the interval [10, 60]. (Round your answer to the nearest integer.) (b) Identify an interval on which the average rate of change of f is 0. O [0, 80] O [10, 40] [10, 50] O [20, 40] O [0, 60] (c) Which interval gives a larger average rate of change, [40, 50] or [40, 80]? O [40, 50] O [40, 80] (d) Compute f(40)-f(10) 40 10 What does this value represent geometrically? O the slope of the tangent line at (15, f(15)) the slope of the line segment from (10, f(10)) to (40, F(40)) the slope of the tangent line at (10, f(10)) the slope of the tangent line at (40, f(40))
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.5: Linear Functions And Models
Problem 51E
Related questions
Question
![The graph of a function f is shown.
y
800
400
0 20 40 60
(a) Find the average rate of change of f on the interval [10, 60]. (Round your answer to the nearest integer.)
(b) Identify an interval on which the average rate of change of f is 0.
O [0, 80]
O [10,40]
O [10,50]
O [20, 40]
O [0, 60]
(c) Which interval gives a larger average rate of change, [40, 50] or [40, 80]?
O [40, 50]
O [40, 80]
(d) Compute f(40) - f(10)
40 - 10
What does this value represent geometrically?
the slope of the tangent line at (15, f(15))
the slope of the line segment from (10, f(10)) to (40, f(40))
the slope of the tangent line at (10, f(10))
O the slope of the tangent line at (40, f(40))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e533fec-51fd-4870-9b3f-7eb1d9840991%2F933462af-fc45-472a-a2a6-766cfb9bf3a6%2F6yv09ka_processed.png&w=3840&q=75)
Transcribed Image Text:The graph of a function f is shown.
y
800
400
0 20 40 60
(a) Find the average rate of change of f on the interval [10, 60]. (Round your answer to the nearest integer.)
(b) Identify an interval on which the average rate of change of f is 0.
O [0, 80]
O [10,40]
O [10,50]
O [20, 40]
O [0, 60]
(c) Which interval gives a larger average rate of change, [40, 50] or [40, 80]?
O [40, 50]
O [40, 80]
(d) Compute f(40) - f(10)
40 - 10
What does this value represent geometrically?
the slope of the tangent line at (15, f(15))
the slope of the line segment from (10, f(10)) to (40, f(40))
the slope of the tangent line at (10, f(10))
O the slope of the tangent line at (40, f(40))
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