Job 9NJNBB6Q 7. d) What can you conclude about first differences and average rates of change for consecutive intervals? d) Answers may vary: The first differences and average rate of change for a function will be equal if the difference between the successive x-values is equal to one. Additional info a) For each data set, calculate the first differences and the average rate of change of y between each pair of consecutive points. i) -3 -2 -1 1 2 y -50 -12 4 6. 20
Job 9NJNBB6Q 7. d) What can you conclude about first differences and average rates of change for consecutive intervals? d) Answers may vary: The first differences and average rate of change for a function will be equal if the difference between the successive x-values is equal to one. Additional info a) For each data set, calculate the first differences and the average rate of change of y between each pair of consecutive points. i) -3 -2 -1 1 2 y -50 -12 4 6. 20
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Calculus Task GP2DNNYG /
Job 9NJNBB6Q
7.
) What can you conclude about first
|differences and average rates of change for
consecutive intervals?
d) Answers may vary: The first
| differences and average rate of change for a function will
| be equal if the difference between the successive x-values
is equal to one.
Additional info
a) For each data set, calculate the first
differences and the average rate of change
of y between each pair of consecutive points.
i) x
-3 -2 -1
1.
2
y
-50 -12
4
20
ii)
-4
-2
4
y
-26
26
22
10
38
154
b) Compare the values found in part a) for
cach set of data. What do you notice?
c) Explain your observations in part b).
7. a) i) First differences: 38, 14, 2, 2, 14;
average rate of change: 38, 14, 2, 2, 14 i) First
differences: 52, -4, –12, 28, 116; average rate of
change 26, -2, -6, 14, 58
b) Answers may vary: Average rate of change is equal to
the First Differences in part i), and half the value in part
i). () Answers may vary |
2.
6
2.
6.
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