Piecewise Linear Functions*
−x−3[/latex], erasing the part where x is greater than -3. Place an open circle at (-3,0).

Example
An on-line comic book retailer charges shipping costs according to the following formula Draw a graph of the cost function.Answer: First, draw the line . We can use transformations: this is a vertical stretch of the identity by a factor of 1.5, and a vertical shift by 2.5.


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Summary
- A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.
- Evaluating a piecewise function means you need to pay close attention to the correct expression used for the given input