Question

Part A: A graph passes through the points (0, 4), (1, 8), and (2, 10). 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. (Use x and y as the variables)

Answer 1

Part A: It is a non-linear function because it doesn't continue at a constant rate. The last y value increased by 2 instead of 4 like the previous coordinates. There's no consistency if that makes sense.

Part B: linear- (1,2) (2,4), (3,6) Notice how the x increases by the same amount (1) and the y increases by the same amount (2) 
non-linear- (2,4) (5,10) (7,11) The x and y values are increasing by completely different amounts in this one.