Average Rate of Change and Functions

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.

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)

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

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

What is the interval used in the first example?

• [3, 5]

• [1, 3]

• [2, 4]

• [0, 2]

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

• 3

• 9

• 27

• 18

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

• 9

• 6

• 3

• 12

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

• 3

• 1

• 6

• 9

What is the simplified form of 24 divided by 2?

• 10

• 8

• 6

• 12

What is the function used in the second example?

• f(x) = 3x^2

• f(x) = x^2 + 2

• f(x) = 2x^3

• f(x) = 4x + 1

What is the interval used in the second example?

• [2, 4]

• [1, 3]

• [0, 2]

• [3, 5]