# What is the domain of #f(x)=3x+2# when the range is {-2, -1, 2}?

##### 1 Answer

Sep 19, 2015

#### Explanation:

This is a straight line graph of gradient 3 and y-intercept 2.

However, if the range only consists of the 3 points given, then the domain will also only consist of the corresponding inverse images of these 3 points.

By definition,

Hence in this case,

Therefore the domain is

The full graph is drawn below, but under the restrictions of the question, you should delete all values except the 3 given.

graph{3x+2 [-11.25, 11.25, -5.62, 5.62]}