Math 2 Name: ____
Piecewise Functions Worksheet #2
Part I. Graph each of the following piecewise functions. Identify any points of discontinuity.
1.
5 if 2
-4 if 2
xx
fx
x
2.
2 1 if 1
2 3 if 1
xx
fx
xx
3.
2 4 if 2
4 9 if 2
xx
fx
xx
4.
1 if 2
2 1 if -2 4
3 8 if 4
xx
f x x x
xx
5.
if 1
4 if 1
xx
fx
xx
6.
52
1
6 2 6
2
2 10 6
if x
f x x if x
x if x
Part II. Evaluate the piecewise function for the given values of x.
1.
5 if 2
-4 if 2
xx
fx
x
3 4 2
f f f
2.
2 1 if 1
2 3 if 1
xx
fx
xx
2 6 1
f f f
3.
2 4 if 2
4 9 if 2
xx
fx
xx
4 8 2
f f f
4.
1 if 2
2 1 if -2 4
3 8 if 4
xx
f x x x
xx
1 4 5
f f f
5.
if 1
4 if 1
xx
fx
xx
4 0 3
f f f
6.
52
1
6 2 6
2
2 10 6
if x
f x x if x
x if x
4 8 2
f f f
