# Graphing Polynomial Functions

```
Kuta Software - Infinite Algebra 2
Name___________________________________
Graphing Polynomial Functions
Date________________ Period____
State the maximum number of turns the graph of each function could make. Then sketch the graph. State
the number of real zeros. Approximate each zero to the nearest tenth. Approximate the relative minima
and
relative maxima to the nearest tenth.
1) f ( x) = x   x




2) f ( x) =  x   x   x 
y











 x















3) f ( x) = x   x   x   x


y









 x





 x

 x







-1-
y


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
4) f ( x) = x   x   x


y

Worksheet by Kuta Software LLC

5) f ( x) = x   x   x




6) f ( x) = x   x   x
y











 x















7) f ( x) =  x   x   x


y











 x


 x
8) f ( x) = x   x   x


y
 x













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-2-
y
Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2
Name___________________________________
Graphing Polynomial Functions
Date________________ Period____
State the maximum number of turns the graph of each function could make. Then sketch the graph. State
the number of real zeros. Approximate each zero to the nearest tenth. Approximate the relative minima
and
relative maxima to the nearest tenth.
1) f ( x) = x   x

2) f ( x) =  x   x   x 
y
Max # Turns: 1
# Real Zeros: 2
Real Zeros: , 
Minima: (, )
Maxima: None











 x











3) f ( x) = x   x   x   x
y





 x
y
Max # Turns: 2
# Real Zeros: 1
Real Zeros: 
Minima: (, )
Maxima: (, )





4) f ( x) = x   x   x
Max # Turns: 3
# Real Zeros: 2
Real Zeros: , 
Minima: (, )
(, )
Maxima: (, )





Max # Turns: 3
# Real Zeros: 3
Real Zeros: , , 
Minima: (, )
Maxima: (, )
(, )



y




 x













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-1-


 x
Worksheet by Kuta Software LLC

5) f ( x) = x   x   x

6) f ( x) = x   x   x
y
Max # Turns: 4
# Real Zeros: 3
Real Zeros: , , 
Minima: (, )
(, )
Maxima: (, )
(, )





















y
Max # Turns: 4
# Real Zeros: 3
Real Zeros: , , 
Minima: (, )
(, )
Maxima: (, )
(, )







 x
8) f ( x) = x   x   x



 x


Max # Turns: 2
# Real Zeros: 3
Real Zeros: , , 
Minima: (, )
Maxima: (, )



y


7) f ( x) =  x   x   x



y
Max # Turns: 3
# Real Zeros: 2
Real Zeros: , 
Minima: (, )
Maxima: None



 x















 x
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC
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