Question

What is the range of `y = 5x -2` if the domain is {-3, -1, 0, 1, 3}?

Answer 1

Since the domain is so small, it is practical to just substitute each value from the domain into the equation in turn.

When `x=-3`, `y = (5xx-3)-2 = -17`
When `x=-1`, `y = (5xx-1)-2 = -7`
When `x=0`, `y = (5xx0)-2 = -2`
When `x=1`, `y = (5xx1)-2 = 3`
When `x=3`, `y = (5xx3)-2 = 13`

The range is the resulting set of values `{-17, -7, -2, 3, 13}`