Question

Is the function represented by the table non-linear?

x
y
6
4
7
2
8
0
9
–2
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.
No, because it does not have a constant rate of change.

Answer 1

No, because it has a constant rate of change.

As x increases by 1, y decreases by 2 each time (4 → 2 → 0 → −2), so the rate of change (slope) is constant (−2), which means the function is linear.