Piecewise Functions Date Period - Kuta Software
Kuta Software - Infinite Precalculus
Piecewise Functions
Sketch the graph of each function.
{ 1) f (x) = x, x x, x y
x
Name___________________________________ Date________________ Period____
{, x
2) f (x) = x, x
x, x
y
x
{x, x
3) f (x) = x , x
x, x
y
x
{ 4) g(x) =
, x
(x), x
y
x
-1-
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Worksheet by Kuta Software LLC
{ 5) f (x) =
, x x
, x
y
x
{x ,
7) w(x) =
x,
x x
x , x
y
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.
{x, x
6) h(x) =
,
x
x
y
x
{ x , x
8) w(x) = (x), x
x, x
y
x
10) Write a rule for the function shown.
y
x
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Piecewise Functions
Sketch the graph of each function.
{ 1) f (x) = x, x x, x y
x
Name___________________________________ Date________________ Period____
{, x
2) f (x) = x, x
x, x
y
x
{x, x
3) f (x) = x , x
x, x
y
x
{ 4) g(x) =
, x
(x), x
y
x
-1-
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Worksheet by Kuta Software LLC
{ 5) f (x) =
, x x
, x
y
x
{x ,
7) w(x) =
x,
x x
x , x
y
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
s(n) = , n
, n
{x, x
6) h(x) =
,
x
x
y
x
{ x , x
8) w(x) = (x), x
x, x
y
x
10) Write a rule for the function shown.
y
x
{, x
f (x) = x, x
x, x
Create your own worksheets like this one with Infinite Precalculus. Free trial available at
-2-
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Worksheet by Kuta Software LLC
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