Page 1
1.
At most how many turning points does the graph of
86
( ) –12 + – 8 – 9f x x x x=
have?
2.
At most how many horizontal intercepts does the graph of
82
( ) –8 + 8 + – 7f x x x x=
have?
3.
Choose the description that describes the end behavior of the graph of
4 3 2
( ) –4 – 6 + 8 –10f x x x x=
.
A)
,as x y→ − →
and
,as x y→ →
B)
,as x y→ − →
and
,–as x y→ →
C)
,–as x y→ − →
and
,as x y→ →
D)
,–as x y→ − →
and
,–as x y→ →
4.
Choose the function below whose end behavior matches the description.
,–as x y→ − →
and
,–as x y→ →
A)
6 4 3
( ) –11 +11 –11f x x x x=
B)
6 4 3
( ) – –11 +11 –11f x x x x=
C)
7 4 3
( ) – –11 +11 –11f x x x x=
D)
7 4 3
( ) –11 +11 –11f x x x x=
5.
Which of the following describes the polynomial pictured?
A)
It is a degree 4 polynomial with a negative leading term.
B)
It is a degree 4 polynomial with a positive leading term.
C)
It is a degree 3 polynomial with a negative leading term.
D)
It is a degree 3 polynomial with a positive leading term.
Page 2
6.
What is the minimum degree of the polynomial pictured?
7.
What is the minimum degree of the polynomial pictured?
8.
Find the horizontal intercepts of the function
32
( ) –3 + 21 – 6 –120f x x x x=
.
Write your answers
1 2 3
,,r r r
in ascending order
( )
1 2 3
r r r
.
9.
Find the horizontal intercepts of the function
4 3 2
( ) 2 – 6 – 64 + 24 + 224f x x x x x=
.
Write your answers
1 2 3 4
, , ,r r r r
in ascending order
( )
1 2 3 4
r r r r
.
10.
Find the horizontal intercepts of the function
5 4 3 2
( ) –15 + 75 –125 – 36 +180f x x x x x x=
.
Write your answers
12345
, , , ,r r r r r
in ascending order
( )
12345
r r r r r
.
11.
Find a polynomial function with horizontal intercepts –6, 2, and 6 and vertical
intercept –72.
Write your answer in standard form,
32
()f x ax bx cx d= + + +
.
Page 3
12.
Find a polynomial function with horizontal intercepts –6, –5, –1, and 1 and vertical
intercept 30.
Write your answer in standard form,
4 3 2
()f x ax bx cx dx f= + + + +
.
13.
Find a polynomial function with horizontal intercepts 1, 2, 3, 4, and 7 and vertical
intercept –168.
Write your answer in standard form,
5 4 3 2
()f x ax bx cx dx fx g= + + + + +
.
14.
Find a polynomial function with horizontal intercepts 2, 4, and 5 and vertical intercept
120.
Write your answer in factored form,
1 2 3
( ) ( )( )( )f x a x r x r x r= − − −
with
( )
1 2 3
r r r
.
15.
Find a polynomial function with horizontal intercepts –9, –8, 1, and 6 and vertical
intercept –864.
Write your answer in factored form,
1 2 3 4
( ) ( )( )( )( )f x a x r x r x r x r= − − − −
with
( )
1 2 3 4
r r r r
.
16.
Find a polynomial function with horizontal intercepts 2, 4, 5, 6, and 9 and vertical
intercept 6480.
Write your answer in factored form,
12345
( ) ( )( )( )( )( )f x a x r x r x r x r x r= − − − − −
with
( )
12345
r r r r r
.
17.
State the degree of the function:
64
( ) 3 – 8 – 6 15f x x x x=+
18.
Evaluate the following expression for x = –3.
5
3x
Page 4
19.
Which polynomial function describes the graph
graph
A)
43
–3 – 6 – 2xx
B)
42
–3 + 6 – 2xx
C)
43
–3 + 6 – 2xx
D)
42
3 + 6 – 2xx
Page 5
Answer Key