X0

2

4

6

8

y-1-2-3-4-5

A) Do the values in the table above represent a linear function?

Yes, it represents a linear

B) If you said it's a linear function, justify your answer.

*blank*

A Because the x-values increase by 1 as the y-values decrease by 2.

B Because the x-values and y- values need to be increased by the same number.

C Because there is no single pattern between changes in y-values.

D Because the x-values increase by 2 as the y-values decrease by 1.

E Because there is no single pattern between changes in x-values.

1 answer

A) Yes, it represents a linear function.

B) Justification: A) Because the x-values increase by 2 as the y-values decrease by 1.

This shows a constant rate of change (the slope) between the x-values and y-values, which is characteristic of a linear function.