Question in description

Question

In the ordered pairs below, the y-values are given in terms of m. Tell whether the ordered pairs represent a linear function, an exponential function, or a quadratic function.

(1,3m-1), (2,10m+2), (3,26m), (4, 51m-7), (5, 85m-19)

Answer 1

We see that the difference between consecutive values is increasing, so this cannot be a linear function (constant differences). We also see that there is no common ratio between consecutive values, meaning the function cannot be exponential. Therefore, this must be a quadratic function.