Prompt:

Graph each of the functions. At least one of the functions should be graphed by hand and at least one of the functions should be graphed using graphing technology like GeoGebra. For the function(s) that is (are) graphed by hand, please show your work and upload a scanned document with the tables and graph into the assessment.

To submit the picture of a graph in GeoGebra, go to the "File" menu at the top of the screen. Select "Export", "Graphics View to Clipboard", and then paste the image into your document file.

1.f(x)=

x - 3if x ≤ 3

3x - 10if x > 3

2.f(x)=

-4x - 5if x < 0

x - 5if 0 ≤ x < 4

x2 - 10x + 21if x ≥ 4

3.f(x)=

2(x + 2)2 - 4if x < -2

x2 + 4x - 3if x ≥ -2

4.f(x)=

-1if x ≤ -6

5if -6 < x ≤ -2

2x + 9if x > -2

5.f(x)=

2x + 8if x < 1

-3x + 7if 1 ≤ x < 3

if x ≥ 3

6.Give a real world example of where piecewise functions are applied.

7.Create your own piecewise function and graph it on the coordinate plane. Explain

whether your piecewise function is continuous or discontinuous. Send both the function and the graph with your assessment.

THANKS MHF