Wksht 2: Limit of 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?

Select all that apply

A
6
B
9
C
10
D
11

Check my answer (3)

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