Kuta Software - Infinite Precalculus
Name___________________________________
Piecewise Functions
Date________________ Period____
Sketch the graph of each function.
1) f ( x) =
{
x, x
{
x, x
,
x
x, x
y
x
2) f ( x) = x,
y
x
x
x
{
,
x
x
4) g( x) =
3) f ( x) = x , x
,
{(
x) , x
x , x
y
y
x
x
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Worksheet by Kuta Software LLC
5) f ( x) =
{
, x
x
,
7) w( x) =
{
{
y
x
x
,
x
8) w( x) =
x
x,
{
x
x
x , x
( x) , x
x,
x , x
x
y
y
y
x
6) h( x) =
, x
x
x
, x
x
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.
y
x
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Name___________________________________
Piecewise Functions
Date________________ Period____
Sketch the graph of each function.
1) f ( x) =
{
x, x
{
x, x
,
x
x, x
y
x
2) f ( x) = x,
y
x
x
x
{
,
x
x
4) g( x) =
3) f ( x) = x , x
,
{(
x) , x
x , x
y
y
x
x
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Worksheet by Kuta Software LLC
5) f ( x) =
{
, x
x
,
7) w( x) =
{
y
{
x
x
,
x
8) w( x) =
x
x,
{
x
x
x , x
( x) , x
x,
x , x
x
y
y
y
x
6) h( x) =
, x
x
x
, x
x
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.
, n
{
10) Write a rule for the function shown.
y
s(n) = , n
, n
x
{
,
x
f ( x) = x, x
x, x
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Worksheet by Kuta Software LLC
