Calculating Average Rate of Change in Functions

What is the formula for calculating the average rate of change of a function?

• f(b) - f(a) / b - a

• f(b) + f(a) / b + a

• f(a) - f(b) / a - b

• f(a) + f(b) / a + b

In the formula for the average rate of change, what do 'a' and 'b' represent?

• z-values

• x-values

• y-values

• constants

What is the value of f(1) for the function given in the example?

• 1

• 5

• 0

• 4

What is the value of f(3) for the function given in the example?

• 9

• 16

• 12

• 7

What does the average rate of change represent in the context of a graph?

• The slope of the secant line

• The slope of the tangent line

• The x-intercept

• The y-intercept

How many points does a secant line touch on a graph?

• Three

• Two

• One

• Four

What is the average rate of change of the function f(x) = x^3 - 4 from x = 2 to x = 5?

• 39

• 117

• 121

• 125

What is the value of f(5) for the function f(x) = x^3 - 4?

• 125

• 121

• 39

• 117

What is the value of f(2) for the function f(x) = x^3 - 4?

• 2

• 8

• 6

• 4

Where can you find more videos on pre-calculus, algebra, and calculus?

• In the textbook

• On the teacher's website

• In the library

• On the provided channel