# Wksht 2: Limit of Piecewise functions

- Author:
- Nicole Stripling

- Topic:
- Functions, Piecewise Functions

## Exercise

## What is this question asking?

A piece-wise function is made up of several sub-functions, where each sub-function corresponds to a piece of the domain. In this example, everywhere where , . However, where , .
To find the limit at approaches 4, we don't need to focus on the value of , but instead the values of the function near 4.

So let's focus only on the part of the function

*around .*This means that we will deal only with .From the graph below, what -value is nearing as nears 4?

We can see from the graph above that as nears 4, nears 10.
Solution: Therefore,

## Good Resources

Symbolab.com is like wolframalpha, but free. Don't use it unless you're stuck so you don't become dependent on it!
Desmos.com: graphing calculator
Betterexplained.com
Mathinsight.org