##### Notes

This printable supports Common Core Mathematics Standard HSF-IF.C.7b, HSF-IF.C.7

##### Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

# Graphing Piecewise and Absolute Value Functions (Grades 11-12)

Print Test (Only the test content will print)

## Graphing Piecewise and Absolute Value Functions

Instructions: If applicable, when graphing make sure to use open and closed circles to indicate whether the end of a line segment includes the final point or not.

Ensure all graphs are properly labeled.

1.
Graph: $y=5| x-3| -4$

2.
Graph $y = 3 |2x+4| - 6$ . Label the vertex and the x- and y-intercepts.

3.
Graph the function $f(x) = -2 \ | -2x |$.

4.
Graph the following piecewise function.
$f(x) = { {:(-3",", \ \ x<-2), (0",", \ \ -2<=x<=1), (3",", \ \ x>1):}$

5.
Graph the following piecewise function.
$f(x) = { {:(x+5",",\ \ x<-2),(-2x+3",", \ \ x>=-2):}$

6.
Graph the following piecewise function.
$f(x) = { {:(-2x+1",", \ \ x<=2),(4x-4",", \ \ x>2):}$

7.
The floor function is a step function which can be represented as $f(x) = |_ x _|$. The domain of this function is $RR$ and the range is $ZZ$. For every input value $x$, it gives the largest integer less than or equal to $x$. For example, $f(1.5) = 1$. Graph this function.

8.
The ceiling function is a step function which can be represented as $f(x) = |~ x ~|$. The domain of this function is $RR$ and the range is $ZZ$. For every input value $x$, it gives the smallest integer greater than or equal to $x$. For example, $f(-3.5) = -3$. Graph this function.

9.
Graph the following function.
$f(x) = { {:(x+8",", \ \ x<-4), ( | \ x \ |",", \ \ -4 <= x <=4), (-x+8",", \ \ x >4):}$

10.
Graph the following function.
$f(x) = { {:(2",", \ \ -6 <= x < -4), (- 1/4 x^2 + 6",", \ \ -4 <= x <= 2), (|x-1|+4",", \ \ 2 < x <= 6):}$

You need to be a HelpTeaching.com member to access free printables.