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 exponential.
B. The x-values are equally spaced, and the y-values change by equal factors, so the function is exponential.
C. The x-values are equally spaced, and the y-values change by equal differences, so the function is linear.
D. The x-values are equally spaced, and the y-values change by equal factors, so the function is linear.

Answer 1

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

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As per table we see:

• x-values increase by 1;
• y-values increase by 2.

Since the difference of both variables is common, the function is linear.

The matching choice is C.