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Average Rate of Change and Exponential Functions

Average Rate of Change and Exponential Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Liam Anderson

FREE Resource

The video tutorial explains how to calculate the average rate of change of a function. It begins by defining the concept and then demonstrates the calculation process using an example function. The tutorial covers substituting values into the function, understanding exponents, and calculating the change in y and x over a given interval. Finally, it shows how to compute the average rate of change by dividing the change in y by the change in x.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the interval used to calculate the average rate of change in this problem?

[1, 3]

[4, 6]

[2, 4]

[3, 5]

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-value when x is substituted with 2 in the function y = 1 * 2^x?

6

8

2

4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to find the y-value when x = 4 in the function y = 1 * 2^x?

Multiplication

Exponentiation

Subtraction

Addition

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-value when x is substituted with 4 in the function y = 1 * 2^x?

8

12

16

20

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How much does the y-value change from x = 2 to x = 4?

10

8

12

14

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the change in x over the interval [2, 4]?

4

3

2

1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the average rate of change?

Difference of changes in x and y

Sum of changes in x and y

Change in y divided by change in x

Change in x divided by change in y

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