# What is the domain and range for # f(x) = 3x - absx#?

##### 1 Answer

Oct 14, 2015

Both the domain and the range are the whole of

#### Explanation:

If

As a result

If

As a result

Both

So by the intermediate value theorem,

We can define an inverse function for

#f^(-1)(y) = { (y/2, "if " y >= 0), (y/4, "if " y < 0) :}#

graph{3x-abs(x) [-5.55, 5.55, -2.774, 2.774]}