Worksheet Piecewise Functions

AFM Piecewise Functions
Name:
Part I. Graph each piecewise function. Then, find the domain and range for each piecewise function.
1.

2x  1
f x    2

x  3
x 1
x 1
Domain:________________
Range:_________________
2.
2x  1
5x  4
f x   
x 2
x 2
Domain:________________
Range:_________________
3.
x 2  1

f  x   2x  1
3

x 0
0x 5
x 5
Domain:________________
Range:_________________
5
2x  3
f x   
4.
x  3
x  3
Domain:________________
Range:_________________
5. f ( x)  x  1
X
Y
-2
-1
0
1
2
6. f ( x)  x  2
X
-2
-1
0
1
2
Y
Part II. Evaluate the graph at the specified domain value.
7.
8.
f(2) =
f(-1) =
f(-3) =
9.
f(-2) =
f(3) =
f(-4) =
10.
f(2) =
f(-1) =
f(0) =
f(-2) =
f(3) =
f(-4) =
11.
f(2) =
f(3) =
f(4) =
**f(6) =
Part III. For problems 1- 12, evaluate the function for the given values of x.
Evaluate the greatest integer.
13.  0.7
14. 3.4
Part IV. Match the piecewise function with its graph.