Question

Is the function in the graph non-linear?

Yes, because it has a constant rate of change.
Yes, because it does not have a constant rate of change.
No, because it has a constant rate of change.

Answer 1

Hello :)

The function in the graph is non-linear because it is a curved line; Therefore, the 3rd answer would not be the answer. Now we are left with A & B. Since the function in the graph is non-linear, we should know that non-linear functions don't have a constant rate of change; therefore, A would not be the answer. So the answer would be B. Yes. the function in the graph is non-linear, because it does not have a constant rate of change.

Answer 2

Answer: Yes, because it does not have a constant rate of change.

Explanation:

the graph of a linear function is a line which shows that it has a constant rate of change.

In the given picture, the graph is a curve not a line.

From x= -3 to x= -5 there is approximately negligible change in function as compare the region from x=1 to x=-1.

That means the rate of change is not constant.

Hence, the graph represents a non-linear function.