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Graphing Polynomial Functions

Total questions: 9

Worksheet time: 5mins

Name
Class
Date
1.

For  f(x) = 7x3x26x+9f\left(x\right)\ =\ 7x^3-x^2-6x+9 , what is  f(3)f\left(3\right)  ?

a)

-171

b)

153

c)

171

d)

189

2.

For  f(x) = 7x3x26x+9f\left(x\right)\ =\ 7x^3-x^2-6x+9 , what is  f(3)f\left(-3\right)  ?

a)

-171

b)

153

c)

171

d)

189

3.

For  f(x) = 7x3x26x+9f\left(x\right)\ =\ 7x^3-x^2-6x+9 , what is the degree?

a)

2

b)

3

c)

0

d)

1

4.

What is  f(x)=87x33x5+2x+8x2f(x)=8-7x^3-3x^5+2x+8x^2  in standard form?

a)

 f(x)=8+2x+8x27x33x5f(x)=8+2x+8x^2-7x^3-3x^5  

b)

 f(x)=3x57x3+8x2+2x+8f(x)=-3x^5-7x^3+8x^2+2x+8  

c)

 f(x)=3x57x3+8x2+2x8f(x)=3x^5-7x^3+8x^2+2x-8  

d)

 f(x)=3x5+7x38x22x8f(x)=3x^5+7x^3-8x^2-2x-8  

5.

For f(x)=87x33x5+2x+8x2f(x)=8-7x^3-3x^5+2x+8x^2 , as   xx\rightarrow-\infty  , what happens?

a)

 f(x)f\left(x\right)\rightarrow\infty  

b)

 f(x)f\left(x\right)\rightarrow-\infty  

c)

 xx\rightarrow\infty  

d)

 f(x) f\left(x\right)\   explodes

6.

For f(x)=87x33x5+2x+8x2f(x)=8-7x^3-3x^5+2x+8x^2 , as   xx\rightarrow\infty  , what happens?

a)

 f(x)f\left(x\right)\rightarrow\infty  

b)

 f(x)f\left(x\right)\rightarrow-\infty  

c)

 xx\rightarrow-\infty  

d)

 f(x) f\left(x\right)\   explodes

7.

If f(x)f\left(x\right) has a negative, even degree, what shape will it have?

a)

A sideways S-ish shape going in this direction /

b)

A U-ish shape opening up

c)

A U-ish shape opening down

d)

A sideways S-ish shape going in this direciton \

8.

If f(x)f\left(x\right) has a positive, odd degree, what shape will it have?

a)

A sideways S-ish shape going in this direction \

b)

A U-ish shape opening up 

c)

A U-ish shape opening down

d)

A sideways S-ish shape going in this direction /

9.

Can I pass this math class?

a)

I won't pass, but I'm trying

b)

I will pass if I try hard

c)

I will pass without trying

d)

I'm not trying, so I won't pass