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Unit One Review

Total questions: 23

Worksheet time: 44mins

Name
Class
Date
1.
What is the end behavior for
f(x)=2x2+x
a)
A
b)
B
c)
C
d)
D
2.
What is the end behavior for
f(x)= -x3+2x+1
a)
A
b)
B
c)
C
d)
D
3.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
4.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and x→∞, y→⁻∞
b)
x → ∞, y→ ∞ and x→⁻∞, y→∞
c)
x → ∞, y→ ∞ and x→⁻∞, y→ 0
d)
x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞
5.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 
a)
Leading Coefficient Positive
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
6.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 
a)
Leading Coefficient Positive
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
7.

Which function has this end behavior?

Note: f(x)=y

a)

-x2 - 3x + 1

b)

-x3 + 2x2 + 3

c)

x4 + 3x3 - 4x + 1

d)

x5 - 4x4 + 2x2 - 1

8.

What are the zeros of the function?

a)

(4, 0) and (1, 0)

b)

(3, 0), (1, 0), (-2, 0), and (-5, 0)

c)

(-3, 0), (-1, 0), (2, 0), and (5, 0)

d)

(-2, 0) and (4, 0)

9.

What is the degree of the shown polynomial?

a)

Positive

b)

Negative

c)

Odd

d)

Even

10.

The function shown in the graph is:

a)

A

even

b)

B

odd

c)

C

neither even nor odd

d)

D

both even and odd

11.

The function in the graph is:

a)

A

even

b)

B

odd

c)

C

neither even nor odd

d)

D

both even and odd

12.

The function shown in the graph is:

a)

A

even

b)

B

odd

c)

C

neither odd nor even

d)

D

both odd and even

13.

What is the range?

a)

A

(-4, 5]

b)

B

[-4, 5)

c)

C

(-3, 3)

d)

D

[-3, 3]

14.

Where is the function increasing?

a)

A

(4, ∞)

b)

B

(−4, ∞)

c)

C

(6 , ∞)

d)

D

(−∞ , 4)

15.

When is this function increasing?

a)

A

(−2.5, 2.5)

b)

B

(0, 5)

c)

C

(5, 0)

d)

D

(−5, 0)

16.

What is the 2nd interval in this graph?

a)

Decreasing (5, 2)

b)

Decreasing (-4, 2)

c)

Decreasing (5, 1)

d)

Decreasing (-4, 1)

17.

How many intervals of change are represented in this graph?

a)

6

b)

5

c)

4

d)

3

18.

What is the first interval in this graph?

a)

Decreasing (∞, -4)

b)

Decreasing (∞, -4)

c)

Decreasing (-∞, -4)

d)

Decreasing (-∞, 4)

19.
What is another way to say "where a function crosses the x-axis"?
a)
x-intercept
b)
zero
c)
root
d)
all of these.
20.

Write the following set of numbers using set notation.

The set of all integers less than −20

a)

{x∣x ≤ -20}

b)

{x∣x < -20}

c)

{x∣x ≥ -20}

d)

{x∣x > -20}

21.
Express the following interval in Set notation:
[3, 5]
a)
{ x  | 3 ≤ x ≤ 5 }
b)
{ x  | 3 < x ≤ 5 }
c)
{ x  | 3 ≤ x < 5 }
d)
{ x | 3 < x < 5 }
22.

Over what interval is this function constant?

a)

(-5, ∞)

b)

(-3, 4)

c)

(4, ∞)

d)

(5, ∞)

23.

Find the x- and y-intercepts.

a)

xint = (-4,0), yint = (0,3)

b)

xint = (-3,0), yint = (0, -4)

c)

xint = (4, 0) , yint = (0, -3)

d)

xint = (-4, 0), yint = (0, -3)