Q7. Please answer all the parts to this question The graph of a function f is shown.800400y0(c) Compute the following.f(40) - f(0)40 0(a) Find the average rate of change of f on the interval [50, 60].20(b) Identify an interval on which the average rate of change of f is 0.O [10, 50]O [0, 80][0, 60]O [10, 40]O [20, 40]O NoWhat does this value represent geometrically?the slope of the tangent line at (20, f(20))O the slope of the tangent line at (40, f(40))(e) Is f'(10) > f'(30)?Yes(d) Estimate the value of f'(50).40the slope of the line segment from (0, f(0)) to (40, f(40))O the slope of the tangent line at (0, f(0))(f) Is f'(60) >YesO No60Xf(80)-f(40) ?80 40Explain.The slope of the tangent line at x = 40, f'(40), is less than the slope of the line passing through (60, f(60)) and (80, f(80)).O The slope of the tangent line at x = 60, f'(60), is less than the slope of the line passing through (40, f(40)) and (80, f(80)).O The slope of the tangent line at x = 80, f'(80), is greater than the slope of the line passing through (40, f(40)) and (60, f(60)).The slope of the tangent line at x = 80, f'(80), is less than the slope of the line passing through (40, f(40)) and (60, f(60)).O The slope of the tangent line at x = 60, f'(60), is greater than the slope of the line passing through (40, f(40)) and (80, f(80)).

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Answered: The graph of a function is shown. y 800…

Math

Calculus

The graph of a function is shown. y 800 400 20 40 60 (a) Find the average rate of change of f on the interval [50, 60].

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

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Question

Q7. Please answer all the parts to this question

The graph of a function f is shown.
800
400
y
0
(c) Compute the following.
f(40) - f(0)
40 0
(a) Find the average rate of change of f on the interval [50, 60].
20
(b) Identify an interval on which the average rate of change of f is 0.
O [10, 50]
O [0, 80]
[0, 60]
O [10, 40]
O [20, 40]
O No
What does this value represent geometrically?
the slope of the tangent line at (20, f(20))
O the slope of the tangent line at (40, f(40))
(e) Is f'(10) > f'(30)?
Yes
(d) Estimate the value of f'(50).
40
the slope of the line segment from (0, f(0)) to (40, f(40))
O the slope of the tangent line at (0, f(0))
(f) Is f'(60) >
Yes
O No
60
X
f(80)-f(40) ?
80 40
Explain.
The slope of the tangent line at x = 40, f'(40), is less than the slope of the line passing through (60, f(60)) and (80, f(80)).
O The slope of the tangent line at x = 60, f'(60), is less than the slope of the line passing through (40, f(40)) and (80, f(80)).
O The slope of the tangent line at x = 80, f'(80), is greater than the slope of the line passing through (40, f(40)) and (60, f(60)).
The slope of the tangent line at x = 80, f'(80), is less than the slope of the line passing through (40, f(40)) and (60, f(60)).
O The slope of the tangent line at x = 60, f'(60), is greater than the slope of the line passing through (40, f(40)) and (80, f(80)).

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