Question

Does the table below describe a linear or an exponential function?

a.The x-values are equally spaced, and the y-values change by equal differences, so the function is linear.
b.The x-values are equally spaced, and the y-values change by equal differences, so the function is exponential.
c. The x-values are equally spaced, and the y-values change by equal factors, so the function is exponential.
d. The x-values are equally spaced, and the y-values change by equal factors, so the function is linear.

Answer 1

a. The x-values are equally spaced, and the y-values change by equal differences, so the function is linear.

Explanation:

A linear function is categorized by a function which has a constant factor separating all coordinates. In this table, each x-value increases by 1 while each y-value increases by 2. So, it is linear.