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hamza unit 2

Total questions: 65

Worksheet time: 6hrs 9mins

Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
a)
A
b)
B
c)
C
d)
D
4.
a)
A
b)
B
c)
C
d)
D
5.
a)
A
b)
B
c)
C
d)
D
6.
a)
A
b)
B
c)
C
d)
D
7.
a)
A
b)
B
c)
C
d)
D
8.
a)
A
b)
B
c)
C
d)
D
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
a)
A
b)
B
c)
C
d)
D
15.
a)
A
b)
B
c)
C
d)
D
16.

What are the transformations of this functions compared to the parent function?

a)

Vertical Translation: Shifted down 2 units

b)

Vertical Translation: Shifted up 2 units

c)

Horizontal Translation: Shifted left 2 units

d)

Horizontal Translation: Shifted right 2 units

17.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5 units, shifted down 2units, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch by a factor of 2, and shifted right 5 units

c)

Reflected over the x-axis, vertical stretch by a factor of 2, and shifted left 5 units

d)

Shifted right 5 units, shifted down 2 units

18.

Which of these equations shifts a radical equation right 5 units and down once?

a)
b)
c)
d)
19.

What is the parent function of square root functions?

a)

f(x) = x

b)
c)
d)

f(x) = x²

20.

Which of the following is the function shown in the graph?

a)
b)
c)
d)
21.
a)

reflects over x axis, vertical stretch by a factor of 3, right 2 units, up 1units

b)

reflects over y axis, vertical shrink by a factor of -3, left 2 units, up 1units

c)

reflects over x axis, vertical stretch by a factor of -3, left 2 units, up 1 unit

d)

reflects over y axis, vertical shrink by a factor of 1/3, right 2 units, up 1 unit

22.

Identify the Transformations.

a)

Vertical stretch by a factor of 2 and down 4 units

b)

Vertical Shrink by a factor of ½ and down 4 units

c)

Vertical stretch by a factor of 2 and up 4 units

d)

Vertical Shrink by ½ and right 4 units

23.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
24.
What kind of function is represented by the graph?
a)
Cube Root Function
b)
Cubic Function
c)
Polynomial Function
d)
Square Root Function
25.

Solve for the variable x:

a)

x = 81

b)

x = -9

c)

x = 9

d)

x = -81

26.
a)
x = 5
b)
x = -6
c)
x = 14
d)
x = -1
27.
Solve the cube root equation
a)
36
b)
-216
c)
216
d)
-36
28.

What is the base of the following equation?

43 = 64

a)

3

b)

4

c)

64

d)

43

29.

What type of function is shown?

a)

cube root function

b)

square root function

c)

logarithm function

d)

exponential function

30.

What is the exponent of the following equation?

43 = 64

a)

3

b)

4

c)

64

d)

43

31.

What is the Power of the following equation?

43 = 64

a)

3

b)

4

c)

64

d)

43

32.

Rewrite log28 = 3 in exponential form

a)

28 = 3

b)

23 = 8

c)

32 = 8

d)

83 = 2

33.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
34.
Write logb(xy) as two logs
a)
logbx+logby
b)
logbx-logby
c)
logbx*logby
d)
logbx/logby
35.
Condense the following logarithm: lnx + ln4 
a)
ln 4x
b)
ln 4/x
c)
log 4 + log x
d)
ln x4
36.

What is the Domain for the graph?

a)

A

-4 ≤ x < ∞

b)

B

− ∞ < x ≤ -2

c)

C

-2 ≤ x < ∞

d)

D

− ∞ < x ≤ -4

37.

What is the relationship between the cube root function and the cubic function?

a)

They are the same.

b)

They are opposite of each other.

c)

There are inverses of each other.

d)

No way to tell.

38.

What is the relationship between the square root function and the quadratic function?

a)

They are inverses of each other.

b)

They are the same.

c)

They are opposite of each other.

d)

No way to tell.

39.
What is the equation in factored form of this graph?
a)
f(x) = (x-4)(x-1)2(x+2)(x+4)
b)
f(x) = (x-4)(x+1)2(x+2)(x+4)
c)
f(x) = (x-4)(x-1)2(x-2)(x+4)
d)
f(x) = (x+4)(x+1)2(x-2)(x-4)
40.
Find all zeros for the polynomial function
Factor by grouping and then set = 0 to find zeros.
P(x) = x3 -3x2-5x+15
a)
3, √5 
b)
3, √5, -√5
c)
-3, √5, -√5
d)
-3, 5i, -5i
41.
Find a polynomial function of degree 3 with zeros 3i and -2.
a)
P(x) = x3+2x2+9x+11
b)
P(x) = x3-2x2+9x+18
c)
P(x) = x3+2x2+9x+18
d)
P(x) = x2-3ix+2x-6i
42.
The polynomial is...
a)
Odd degree, positive leading coefficient.
b)
Odd degree, negative leading coefficient.
c)
Even degree, positive leading coefficient.
d)
Even degree, negative leading coefficient.
43.
Identify the zeros:
a)
x=2, x=6, x=-4
b)
(x+2)(x+6)(x-4)
c)
(x-2)(x-6)(x+4)
d)
x=-2, x=-6, x=4
44.
True or False:  If (7x + 4) is a factor of some polynomial function f, then 4/7  is a zero of the function. 
a)
True
b)
False
45.
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
a)
-4.9 and -0.1
b)
-8.54 and 8.54
c)
-0.45 and 3.55
d)
-6.77 and 1.77
46.
Use the quadratic formula to find the solutions for
y = 2x2 - 9x + 5
a)
-8.14 and -6.14
b)
4.07 and 3.07
c)
3.85 and 0.65
d)
ZERO solutions
47.
Find the vertex of 
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
48.
Simplify
(3 + i)(1 - 4i)
a)
7 - 11i
b)
3 - 4i
c)
3 - 11i - 4i2
d)
2 - 3i
49.
Based on the end behavior of the polynomial, what best describes the leading coefficient?
a)
a negative real number
b)
 a positive real number
c)
an even real number
d)
an odd real number
50.
Based on the end behavior of the polynomial, what is the degree of the polynomial?
a)
a negative real number
b)
a positive real number
c)
an odd real number
d)
an even real number
51.
Which point does not represent a zero of a polynomial?
a)
(-2, 0)
b)
(-1, 0)
c)
(0, 4)
d)
(2, 0)
52.
What are the linear terms of the polynomial function?
a)
(x-2)(x-1)(x+1)(x-2)
b)
(x-2)(x-1)(x+1)(x+2)
c)
(x-2)(x-1)(x+1)(x+2)(x-4)
d)
(x-2)(x-1)(x+1)(x+2)(x+4)
53.
Based on the end behavior which option best describes the leading term?
a)
negative coefficient, even degree
b)
negative coefficient, odd degree
c)
negative degree, odd coefficient
d)
negative degree, even coefficient
54.
What is the least degree of the polynomial?
a)
2
b)
4
c)
3
d)
5
55.
What are the zeros of the polynomial?
a)
X=5, x=-3(multiplicity of 2)
b)
x=-3, x=5(multiplicity of 2)
c)
x=3, x=-5
d)
x=5
56.
Classify the polynomial by degree.
a)
quartic
b)
quintic
c)
6th degree polynomial 
d)
7th degree polynomial
57.
What is the remainder?
(6x2 + 19x + 13) ÷ (2x + 5)     
a)
0
b)
3
c)
5
d)
-5/2
58.
Write the equation of the polynomial function
zeros: 0, -2, 4
degree: 5   
0 has a multiplicity of 3
a)
f(x) = x3(x-2)(x+4)
b)
f(x) = x3(x+2)(x-4)
c)
f(x) = x2(x-2)(x+4)
d)
f(x) = x2(x+2)(x-4)
59.
The degree of the polynomial determines the number of roots.
a)
True
b)
False
60.
What is the end behavior as x → -∞ f(x)→ ?
a)
-∞
b)
∞
61.
How many relative extrema(tuning points) are in the picture?
a)
2
b)
3
c)
4
d)
5
62.
What is the predicted end behavior of: y=-2x4+3x-1
a)
up on both ends
b)
down on both ends
c)
up on left, down on right
d)
down on left, up on right
63.
Give the equation of the 4th degree polynomial with zeros: 1 with multiplicity 2 and i. 
a)
x2 - 4x + 4
b)
x3 - 4x2 + 4x +ix2 -4ix + 4i
c)
x4 - 4x3 + 5x2-4x + 4
d)
x4 - 4x3 + 5x2-4x + 4i
64.
Factor  4v2 − 4v − 8 
a)
4(v + 1)(v − 2) 
b)
(v− 10)(v − 5) 
c)
4(v-1)(v-2)
d)
None of the Above
65.
What is the relative min?
a)
(0, 36)
b)
(-2.55, -6.55), (2.55, -6.55)
c)
(-∞, ∞)
d)
None

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