Recognizing Linear Functions in 8th Grade Math

What is the main question Deirdre is trying to answer about the function?

• Is the function increasing or decreasing?

• What is the minimum value of the function?

• What is the maximum value of the function?

• Is the function linear or non-linear?

How can you tell if a function is linear?

• By checking if the change in y is always the same for a given change in x.

• By checking if the function has a maximum value.

• By checking if the function has a minimum value.

• By checking if the change in x is always the same.

What should be constant for a function to be considered linear?

• The maximum value of the function.

• The minimum value of the function.

• The change in y for a given change in x.

• The change in x for a given change in y.

In the given example, what is the change in x?

• 1

• 4

• 3

• 2

What is the change in y when x goes from 1 to 2?

• 9

• 7

• 3

• 5

What is the change in y when x goes from 2 to 3?

• 5

• 3

• 9

• 7

What is the change in y when x goes from 3 to 4?

• 7

• 3

• 9

• 5

What is the change in y when x goes from 4 to 5?

• 9

• 5

• 7

• 3

What does the graph of a linear function look like?

• A straight line

• A circle

• A zigzag line

• A curve

What conclusion can be drawn about the function based on the increasing changes in y?

• The function has a minimum value.

• The function is linear.

• The function has a maximum value.

• The function is non-linear.