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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Piecewise Functions
Name___________________________________
Date________________ Period____
-1-
Sketch the graph of each function.
1) f
(
x
)
=
{
x, x
x, x
x
y





2) f
(
x
)
=
{
, x
x, x
x, x
x
y





3) f
(
x
)
=
{

x
, x
x , x
x
, x
x
y





4) g
(
x
)
=
{
, x
(
x
)
, x
x
y





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Worksheet by Kuta Software LLC
-2-
5) f
(
x
)
=
{
x
, x
, x
x
y





6) h
(
x
)
=
{
x
, x
x
, x
x
y





7) w
(
x
)
=
{
x
, x
x, x
x , x
x
y





8) w
(
x
)
=
{
x , x
(
x
)
, x
x, x
x
y





Critical thinking questions:
9) Write a rule for the sign function s
(
n
)
:
s
(
n
)
is  when n is negative, + when n is
positive, and otherwise.
10) Write a rule for the function shown.
x
y
  



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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Piecewise Functions
Name___________________________________
Date________________ Period____
-1-
Sketch the graph of each function.
1) f
(
x
)
=
{
x, x
x, x
x
y





2) f
(
x
)
=
{
, x
x, x
x, x
x
y





3) f
(
x
)
=
{

x
, x
x , x
x
, x
x
y





4) g
(
x
)
=
{
, x
(
x
)
, x
x
y





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Worksheet by Kuta Software LLC
-2-
5) f
(
x
)
=
{
x
, x
, x
x
y





6) h
(
x
)
=
{
x
, x
x
, x
x
y





7) w
(
x
)
=
{
x
, x
x, x
x , x
x
y





8) w
(
x
)
=
{
x , x
(
x
)
, x
x, x
x
y





Critical thinking questions:
9) Write a rule for the sign function s
(
n
)
:
s
(
n
)
is  when n is negative, + when n is
positive, and otherwise.
s
(
n
)
=
{
, n
, n
, n
10) Write a rule for the function shown.
x
y
  



f
(
x
)
=
{
, x
x, x
x, x
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