
Average Rate of Change
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Mathematics
9th Grade
CCSS covered
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Example: Find the average rate of change of f(x) = 3x + 2 from x = 1 to x = 4.
1
2
3
4
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How do you calculate the average rate of change?
Average Rate of Change = (f(b) - f(a)) / (b - a), where [a, b] is the interval.
Average Rate of Change = (f(a) + f(b)) / 2, where [a, b] is the interval.
Average Rate of Change = f(b) - f(a), where [a, b] is the interval.
Average Rate of Change = (f(b) + f(a)) / (b + a), where [a, b] is the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does a positive average rate of change indicate?
The function is decreasing over the interval.
The function is constant over the interval.
The function is increasing over the interval.
The function has no change over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the average rate of change of the function y = 2(3)^x at the interval [2, 4]?
54
72
90
66
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Example: If a car travels 60 miles in 1 hour, what is the average rate of change of distance with respect to time?
50 miles per hour
60 miles per hour
70 miles per hour
80 miles per hour
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the average rate of change?
The average rate of change is the change in the function's value divided by the change in the input value over that interval.
The average rate of change is the maximum value of the function over the interval.
The average rate of change is the minimum value of the function over the interval.
The average rate of change is the sum of the function's values over the interval divided by the number of values.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How does the average rate of change relate to the derivative?
The average rate of change is always equal to the derivative.
The average rate of change over an interval approaches the derivative as the interval shrinks to a point.
The average rate of change is the same as the instantaneous rate of change.
The average rate of change can never be equal to the derivative.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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