Average Rate of Change and Functions

Average Rate of Change and Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial explains how to calculate the average rate of change using a specific formula. It provides two examples: one with the function f(x) = 3x^2 over the interval [1, 3], and another with f(x) = x^2 + 2 over the interval [2, 4]. The video concludes with a call to action for viewers to subscribe and share.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the average rate of change?

F(A) - F(B) / (A - B)

F(A) + F(B) / (A + B)

F(B) + F(A) / (B + A)

F(B) - F(A) / (B - A)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the formula F(B) - F(A) / (B - A), what do A and B represent?

The roots of the function

The maximum and minimum values of the function

The endpoints of the interval

The coefficients of the function

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the function used in the first example?

f(x) = 2x^3

f(x) = 3x^2

f(x) = 4x + 1

f(x) = x^2 + 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the interval used in the first example?

[3, 5]

[1, 3]

[2, 4]

[0, 2]

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of f(3) in the first example?

3

9

27

18

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the average rate of change in the first example?

9

6

3

12

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of plugging 1 into the function f(x) = 3x^2?

3

1

6

9

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