Exploring Linear Functions and Rate of Change

A relation where inputs and outputs are the same

A relation with no specific pattern

A relation where each input has a unique output

A relation where each input has multiple outputs

Because they form a triangle when graphed

Because they have no specific pattern

Because they form a circle when graphed

Because they form a line when graphed

Product

Change

Difference

Sum

As a difference between x and y

As a fraction of change in y over change in x

As a product of x and y

As a sum of x and y

-4

2

-8

4

(-1, -2)

(-1, 1)

(-1, -5)

(-1, -3)

The points form a triangle

The points form a circle

The points are randomly scattered

The points form a line

By moving up and right

By moving down and right

By moving down and left

By moving up and left

(3, 6)

(3, 7)

(3, 5)

(3, 8)

If its points form a line and it has a constant rate of change

If its points form a circle

If it has no specific pattern

If its points form a triangle