Exploring Average Rate of Change in Functions

What is the primary focus of the unit discussed in the video?

• Geometry

• Functions

• Statistics

• Probability

How many people entered the concert hall in the first four minutes?

• 24

• 36

• 48

• 12

What was the rate of people entering the hall in the first four minutes?

• 15 people per minute

• 12 people per minute

• 19 people per minute

• 10 people per minute

How many people entered the hall between 10 and 15 minutes?

• 144

• 100

• 95

• 239

What was the rate of people entering the hall between 10 and 15 minutes?

• 15 people per minute

• 20 people per minute

• 12 people per minute

• 19 people per minute

What was the rate of people entering the hall between 15 and 18 minutes?

• 10 people per minute

• 12 people per minute

• 15 people per minute

• 19 people per minute

Why is the average rate of change negative from three to six seconds in the ball example?

• The ball is increasing in height

• The ball is decreasing in height

• The ball is at a constant height

• The ball is not moving

What does a positive average rate of change indicate about a function?

• The function is increasing

• The function is constant

• The function is undefined

• The function is decreasing

What is the average rate of change for the function f(x) = 10x + 3 from x = -2 to x = 4?

• 10

• 8

• 6

• 12

Which function has the greater average rate of change from x = -2 to x = 4?

• Function B: f(x) = 3x^2

• Function A: f(x) = 10x + 3

• Both have the same rate

• Cannot be determined