Question

Determine whether the data from the following table represents a linear function:

• A. Yes
• B. No

Answer 1

The correct option is B No

For a linear function, the dependable variable (y) must have a constant relation with the independant variable (x), which should hold good for all pairs of the data set.

Here we see that the equation: $y=x^3$ hold true for all the pairs as follows:



However the equation $y=x^3$ is not a linear function, it is a cubic function.

So, option (b.) is correct.