Question

x ,-2,-1,0,1,2
y ,-7,-4,-1,2,5,

is this an function?
what is this an linear or nonlinear?

Answer 1

This is a function because each input (x-value) is associated with exactly one output (y-value).

To determine if this function is linear or nonlinear, we can examine the relationship between the x-values and y-values. If the difference between consecutive x-values is always equal to the difference between their corresponding y-values, the function is linear.

Let's check:

The difference between consecutive x-values: -2 - (-2) = 0
The difference between their corresponding y-values: -4 - (-7) = 3
These differences are not equal, so the function is not linear.

Therefore, this function is nonlinear.