Question

Complete the function table. Then write a rule for the function. Input= -3, -2, -1, 0, 1. Output= ?, -4, ?, ?, -1.

Answer 1

y = x -2

Explanation:

The simplest function rule that will match the two given inputs and outputs is a linear function. We see that the output changes by -1-(-4) = 3 when the input changes by 1-(-2) = 3, so the slope is 3/3 = 1.

The output is 2 less than the input for both of the given table values, so we can write the rule as ...

y = x - 2

The table will look like the one attached. (Given value pairs are highlighted.)