already is peicewise continuous. I assume the problem is actually asking how to make it continuous.

Here are some questions for you. I'm going to define a function on the same domain. Let

.

First Question: What's the relationship, if any, between

and

?

Second Question: Can you think of a continuous function defined on all of

that equals

on

's domain of

?

In other words, find a function

such that

is continuous everywhere, and

for all

.

What you're dealing with is something called a "removeable discontinuity", for reasons you'll hopefully soon understand. For now, classify these problems under "So Simple They're Confusing".