Big Ideas Math Algebra 1, 2015
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Big Ideas Math Algebra 1, 2015 View details
7. Piecewise Functions
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Exercise 16 Page 222

Draw each part separately.

Domain: All real numbers
Range:
Graph:

Practice makes perfect

To graph the given piecewise function, we should think about the graph of each individual piece of the function. Then we can combine the graphs on one coordinate plane.

First we will graph for the domain This function has a slope of and a intercept of Since the endpoint is included, this piece should end with a closed circle.

Looking at the graph, we can see that all of the possible values are less than or equal to

Next, we will graph for the domain Since the endpoint is not included, we will end the piece with an open circle.

From the graph, we can see that all values that are less than will be produced by this portion.

Combining the Pieces

Finally, we can combine the pieces onto to one coordinate plane.

Looking at the pieces together, we can see that there are no gaps in the possible values of We can also see there are no gaps in the possible values of but that they are all less than We can use these facts to write the domain and range of the function.