Question

Part A: A graph passes through the points (0, 2), (2, 6), and (3, 12). Does this graph represent a linear function or a non-linear function? Explain your answer in words.

Part B: Write one example of a linear function and one example of a non-linear function in the format: y=mx +b.

Answer 1

Answer:

See below.

Step-by-step explanation:

Part A

"The graph passes through (0,2), (2,6), (3,12).

If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points.

Using (0,2) and (2,6), the slope would be 2.

Using (2,6) and (3,12), the slope would be 3 1/3.

Since the slope is not constant everywhere, the function is non-linear."

Part B

An example of a linear function is y=2x+6.

An example of a nonlinear function is xy=3.

-hope it helps