The graph of a function fis shown. y4 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, 60] O [10, 50] O [20, 40] O [0, 80] O [10, 40] (c) Which interval gives a larger average rate of change, [40, 50] or [40, 80]? O [40, 50] O [40, 80] (d) Compute f40) – (10) 40 - 10 What does this value represent geometrically? O the slope of the tangent line at (10, f(10)) O the slope of the line segment from (10, f(10)) to (40, f(40)) O the slope of the tangent line at (40, F(40)) O the slope of the tangent line at (15, f(15))
The graph of a function fis shown. y4 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, 60] O [10, 50] O [20, 40] O [0, 80] O [10, 40] (c) Which interval gives a larger average rate of change, [40, 50] or [40, 80]? O [40, 50] O [40, 80] (d) Compute f40) – (10) 40 - 10 What does this value represent geometrically? O the slope of the tangent line at (10, f(10)) O the slope of the line segment from (10, f(10)) to (40, f(40)) O the slope of the tangent line at (40, F(40)) O the slope of the tangent line at (15, f(15))
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
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![The graph of a function fis 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, 60]
O [10, 50]
O [20, 40]
O [0, 80]
O [10, 40]
(c) Which interval gives a larger average rate of change, [40, 50] or [40, 80]?
O [40, 50]
O [40, 80]
(d) Compute 140) – f(10)
40 - 10
What does this value represent geometrically?
O the slope of the tangent line at (10, f(10))
O the slope of the line segment from (10, f(10)) to (40, f(40))
O the slope of the tangent line at (40, f(40))
O the slope of the tangent line at (15, f(15))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe09e4f39-de98-45c0-b205-adda8cc465e6%2Fe81be5da-c598-42cf-bc3b-e040d9195da9%2Fbrjrhkf_processed.png&w=3840&q=75)
Transcribed Image Text:The graph of a function fis 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, 60]
O [10, 50]
O [20, 40]
O [0, 80]
O [10, 40]
(c) Which interval gives a larger average rate of change, [40, 50] or [40, 80]?
O [40, 50]
O [40, 80]
(d) Compute 140) – f(10)
40 - 10
What does this value represent geometrically?
O the slope of the tangent line at (10, f(10))
O the slope of the line segment from (10, f(10)) to (40, f(40))
O the slope of the tangent line at (40, f(40))
O the slope of the tangent line at (15, f(15))
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