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Wksht 2: Limit of Piecewise functions

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
  • B
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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