Question

Write a function rule for the input output table input x -2, -1, 0, 1 output y 13, 14, 15, 16​

Answer 1

y = x+15

Explanation:

x-values increase by 1, as do y-values. The ratio of increases is Δy/Δx = 1/1 = 1. This is the slope (m) that is needed in the function rule.

The y-value is 15 for an x-value of 0, so we can use 15 as the y-intercept (b) in the function rule.

In slope-intercept form, the function rule is ...

y = mx +b

y = x +15