6. AVERAGE RATE OF CH ANGE The average rate of change of the function y = f(x) between x = a and x = change in y f(b) – f(a) b – a average rate of change change in x The average rate of change is the slope of the secant line between x = a and x = 1 on the graph of f, that is, the line that passes through (a, f(a)) and (b, f(b)). f(b) – f(a) b- a yA average rate of change f(b)- y = f(x) f(b) - f(a) fla)t 0. a Using the information above, find the average rate of change of the following functions in the given interval: a) **Let f(x)= 3x – 5. Find the average rate of change of f(x) on the interval [0, 1]. Then find it on the interval [3, 7]. Please explain your answer. You can use the graph for the explanation. b) Let f(x)=(x – 3)². Find the average rate of change of f(x) on the interval [1, 3]. Then find it on the interval [4, 7]. Please explain your answer. You can use the graph for the explanation.
6. AVERAGE RATE OF CH ANGE The average rate of change of the function y = f(x) between x = a and x = change in y f(b) – f(a) b – a average rate of change change in x The average rate of change is the slope of the secant line between x = a and x = 1 on the graph of f, that is, the line that passes through (a, f(a)) and (b, f(b)). f(b) – f(a) b- a yA average rate of change f(b)- y = f(x) f(b) - f(a) fla)t 0. a Using the information above, find the average rate of change of the following functions in the given interval: a) **Let f(x)= 3x – 5. Find the average rate of change of f(x) on the interval [0, 1]. Then find it on the interval [3, 7]. Please explain your answer. You can use the graph for the explanation. b) Let f(x)=(x – 3)². Find the average rate of change of f(x) on the interval [1, 3]. Then find it on the interval [4, 7]. Please explain your answer. You can use the graph for the explanation.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
Section: Chapter Questions
Problem 8PS
Related questions
Question
![6.
AVERAGE RATE OF CH ANGE
The average rate of change of the function y = f(x) between x = a and x =
change in y
f(b) – f(a)
b – a
average rate of change
change in x
The average rate of change is the slope of the secant line between x = a and x = 1
on the graph of f, that is, the line that passes through (a, f(a)) and (b, f(b)).
f(b) – f(a)
b- a
yA
average rate of change
f(b)-
y = f(x)
f(b) - f(a)
fla)t
0.
a
Using the information above, find the average rate of change of the
following functions in the given interval:
a) **Let f(x)= 3x – 5. Find the average rate of change of f(x) on the
interval [0, 1]. Then find it on the interval [3, 7]. Please explain
your answer. You can use the graph for the explanation.
b) Let f(x)=(x – 3)². Find the average rate of change of f(x) on the
interval [1, 3]. Then find it on the interval [4, 7]. Please explain
your answer. You can use the graph for the explanation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc06466e0-b6af-451e-ad3a-a7add978ace4%2Ff7b30380-ed2a-4670-82d3-7ef1fd411a1f%2Fnbstg5_processed.png&w=3840&q=75)
Transcribed Image Text:6.
AVERAGE RATE OF CH ANGE
The average rate of change of the function y = f(x) between x = a and x =
change in y
f(b) – f(a)
b – a
average rate of change
change in x
The average rate of change is the slope of the secant line between x = a and x = 1
on the graph of f, that is, the line that passes through (a, f(a)) and (b, f(b)).
f(b) – f(a)
b- a
yA
average rate of change
f(b)-
y = f(x)
f(b) - f(a)
fla)t
0.
a
Using the information above, find the average rate of change of the
following functions in the given interval:
a) **Let f(x)= 3x – 5. Find the average rate of change of f(x) on the
interval [0, 1]. Then find it on the interval [3, 7]. Please explain
your answer. You can use the graph for the explanation.
b) Let f(x)=(x – 3)². Find the average rate of change of f(x) on the
interval [1, 3]. Then find it on the interval [4, 7]. Please explain
your answer. You can use the graph for the explanation.
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