Question

Is this table of values linear?

Answer 1

Explanation:

Not linear.

If the inputs were 1, 2, 3, 4 and we wanted a linear function, one such function would be 1, 2, 3, 4 or 10, 20, 30, 40, and so on.

The given table shows that y increases faster and faster as x increases.

From x = 1 to x = 2, y increases from 1 to 2 (an increase of 1).

From x = 2 to x = 3, y increases from 2 to 6 (an increase of 4).

From x = 3 to x = 4, y increases from 6 to 24 (an increase of 18)

No, the table does not represent a linear function.

Answer 2

No

Explanation:

Linear values will increase by a common difference. For example, a linear function might increase by 6 every time or -4. However, this table does not; each time it increases by a different factor. Since there is no common difference and it does not follow an arithmetic function it is not linear.