The table shows a function. Is the function linear or nonlinear?
x y
–1 5
0 0
1 –1
its nonlinear
Apologies for the mistake. You are correct, the function is nonlinear.
To determine if a function is linear or nonlinear, we can check if the differences in y-values for each pair of corresponding x-values are consistently the same.
Let's calculate the differences in y-values for the given table:
For x = 0 and x = -1:
y(0) - y(-1) = 0 - 5 = -5
For x = 1 and x = 0:
y(1) - y(0) = -1 - 0 = -1
Since the differences in y-values are not consistent (i.e., the differences are not the same for each pair of corresponding x-values), the function is nonlinear.