Comparing Functions

Comparing Functions

Math 8 2021

Finding the Rate of Change (Slope)

• In an equation: y = mx + b

• On a Graph: Rise over Run

• Slope Formula:  $\frac{y_2-\ y_1}{x_2\ -\ x_1}$  

• In a table: Change in y over Change in x
  

Multiple Choice

What is the slope of the equation y = -3x + 8

• 8

• -3

• No Slope

• Undefined

Multiple Choice

Find the slope of the line.

• -5/4
• 5/4
• -4/5
• 4/5

Find the Rate of Change

Multiple Choice

Find the slope from the table.

• -4

• 1

• 4

• -2

Comparing Functions

• Find the Rate of Change (Slope) for each function.

• See which one is greater or less based on the question.

Multiple Choice

Which equation has the greatest rate of change?

• y = 10x - 5

• y = -3x + 8

• y = -26x

• y = 2x + 14

Which table has the greater rate of change?

Multiple Choice

Who is going faster based on their rate of change?

• The Hare

• The Tortoise

Which Function has a lower rate of change?

Multiple Choice

Function A is represented by the equation.

Function B is represented by the graph.

Which function has the greater rate of change?

• Function A

• Function B

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

Multiple Choice

Who has the greater rate of change?

• Hunter has the greater rate of change.

• Casey has the greater rate of change

• They have the same rate of change