Name______________________________________ Date_______________
Period_________
PIECEWISE FUNCTIONS (RADICALS) WORKSHEET
Hints: Graph each portion separately. Use a T-table, if needed.
 x  1 x  0
2 x  1 x  0
1) f ( x)  
-10
 x  3 x  1
f ( x)   2
 2 x  2 x  1
y
y
10
10
5
5
-5
5
 x  4

3) f ( x)   2

 x2
-10
2)
10 x
-10
-5
-5
-5
-10
-10
x  1
1  x  1
4)
x 1
y
y
10
5
5
5
10 x
10 x
5
10 x
 3x  5
x0

f ( x)  
x
0 x3

x3
 x 3 2
10
-5
5
-10
-5
-5
-5
-10
-10
Write equations for the piecewise functions whose graphs are shown below. Assume that the units are one
for every tick mark.
5.
6.

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