Question

Which statement best explains whether the table represents a linear or nonlinear function? (4 points)

Input Output
(x) (y)
0 1
1 2
2 4
3 16

Answer 1

Explanation:

Nonlinear, because the slope is not constant - it keeps changing.

Slope between (1,1) and (1,2) is (1/1) or 1

Slope between (2,4) and (16,3) is:

Rise = (3-4) = -1

Run = (16-2) = 14

Slope = 14/-1 or -14

Definitely not linear. The slope changes dramatically very quickly. A straight line would disapprove.