The graph of a function fis shown. 800 400 O 20 40 60 (a) Find the average rate of change of fon the interval [60, 80]. (Round your answer to the nearest integer.) (b) Identify an interval on which the average rate of change of fis 0.

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 f is shown.
800
400
0 20 40 60
(a) Find the average rate of change of f on the interval [60, 80]. (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 [0, 60]
O [10, 50]
O [20, 40]
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 (40) - f10)
40 - 10
What does this value represent geometrically?
O the slope of the tangent line at (15, (15))
O the slope of the tangent line at (40, (40))
the slope of the line segment from (10, (10)) to (40, f(40))
O the slope of the tangent line at (10, (10))
Transcribed Image Text:The graph of a function f is shown. 800 400 0 20 40 60 (a) Find the average rate of change of f on the interval [60, 80]. (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 [0, 60] O [10, 50] O [20, 40] 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 (40) - f10) 40 - 10 What does this value represent geometrically? O the slope of the tangent line at (15, (15)) O the slope of the tangent line at (40, (40)) the slope of the line segment from (10, (10)) to (40, f(40)) O the slope of the tangent line at (10, (10))
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