Understanding Rate of Change

The video tutorial explains the concept of rate of change, particularly in non-linear functions. It demonstrates how to calculate the rate of change using the slope formula and rise over run method. The tutorial provides examples to show that the rate of change varies between different points on a quadratic function. It also covers how to find the rate of change using given functions by plugging in values and calculating differences.

What is the rate of change in a linear function?

• It is always constant.

• It varies between points.

• It is always zero.

• It is always positive.

Why is it necessary to have criteria for finding the average rate of change in non-linear functions?

• Because the rate of change is always positive.

• Because the rate of change is always zero.

• Because the rate of change varies between points.

• Because the rate of change is constant.

How can you calculate the average rate of change between two points?

• By using the product of the points.

• By using rise over run or the slope formula.

• By using the sum of the points.

• By using the difference of the points.

What is the rate of change between the points (0,0) and (-1,-3)?

• 4

• 2

• 1

• 3

What does the slope formula Y2 - Y1 over X2 - X1 calculate?

• The product of the points.

• The sum of the points.

• The average of the points.

• The rate of change between two points.

What is the rate of change between the points (1,1) and (2,0)?

• 2

• 0

• -1

• 1

Why is the rate of change not the same between all points on a quadratic function?

• Because quadratic functions are always increasing.

• Because quadratic functions are linear.

• Because quadratic functions have a constant rate of change.

• Because quadratic functions have a variable rate of change.

What is the rate of change between the points (-2,z) and (-3,8)?

• 9

• 8

• 7

• 6

How do you find the rate of change using a quadratic function?

• By dividing the points.

• By multiplying the points together.

• By adding the points together.

• By substituting the points into the function.

What is the value of F(2) in the quadratic function example?

• 4

• 2

• 0

• -2