To determine if the function is linear or nonlinear, we need to check if there is a constant rate of change between any two points.
Let's calculate the rate of change between the first two points:
(11-3)/(17-9) = 8/8 = 1
Now let's calculate the rate of change between the second and third points:
(19-17)/(15-11) = 2/4 = 0.5
Since the rate of change is not constant, the function is nonlinear.
The table shows a function. Is the function linear or nonlinear?
x y
3 9
11 17
15 19
1 answer