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.

Answer 1

The function given is non-linear.

Explanation:

The slope between (0, 2) and (2,6):

`(6-2)/(2-0)=(4)/(2)=\boxed{2}`

The slope between (2,6), and (3, 12):

`(12-6)/(3-2)=(6)/(1)=\boxed{6}`

Since the slopes are not equal to each other, the function is non-linear. A linear function's slope must stay consistent.

Hope this helps.