To determine if the function is linear or nonlinear, we need to check if the rate of change (slope) is constant.
Let's calculate the slope between the first two points:
slope = (8 1/5 - 10) / (4 - (-1/2)) = -3/3.5
Now let's calculate the slope between the last two points:
slope = (-9 4/5 - 8 1/5) / (8 1/2 - 4) = -18/17
Since the slopes are not equal, the function is nonlinear.
The table shows a function. Is the function linear or nonlinear?
x y
-1/2 10
4 8 1/5
8 1/2 -9 4/5
1 answer