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WorksheetsReview Test 3
Total questions: 23
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
2.
If given the equation
y = 3(x + 5)2 - 4, what is the vertex of the parabola?
y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
3.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
4.
For synthetic division, what would be the number in the left hand box?
a)
0
b)
1
c)
2
d)
3
5.
a)
2x3 + 3x + (7/x-4)
b)
2x2 + 3x + 8 + (7/x-4)
c)
2x2 + 3x + 8
d)
2x2 - x + 10 + (6/x-4)
6.
What should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)
(3x - 4x3 + 6x4 + 1) / (x + 3)
a)
3 0 -4 6 1
b)
6 -4 3 1 0
c)
6 -4 0 3 1
d)
-6 4 0 -3 -1
7.
What is the proper way to write the answer for the following problem?
a)
2x3-x2-25x+12
b)
2x4-x3-25x2-12x+0
c)
2x3-x2-25x-12
d)
2x4-x3-25x2-12x-0
8.
List the possible rational zeros of
f(x) = x3 - 4x2 -4x + 16
a)
1, 2, 4, 8, 16
b)
±1,±2,±4,±8,±16
c)
±1,±4,±41
d)
-2 and-4
9.
(2x3 + 5x2 + 9) ÷ (x + 3)
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12
10.
If 𝒙2+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?
a)
0
b)
-3
c)
9
d)
5
11.
What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)
y = x(x - 6)(x + 5)
a)
0, 6, -5
b)
6, -5
c)
0, -6, 5
d)
1, -6, 5
12.
What are the roots of the polynomial function?
y = (x + 2)(x - 7)3
y = (x + 2)(x - 7)3
a)
-2, 7 multiplicity 3
b)
-2, 7, 3
c)
2, -7 multiplicity 3
d)
2, -7, 3
13.
What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)
y = x(x - 6)(x + 5)
a)
0, 6, -5
b)
6, -5
c)
0, -6, 5
d)
1, -6, 5
14.
What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?
a)
-4, -1, 3
b)
3, -3, 4, 1
c)
4, 1, -3
d)
3, -4, -1, 3
15.
What is the degree?
a)
Positive
b)
Negative
c)
Odd
d)
Even
16.
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
Identify the degree of the polynomial and the sign of the leading coefficient
a)
Leading Coefficient Positive
Degree - Even
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
Degree - Odd
17.
If the equation of f(x) goes through (1, 4) and (4, 6), what points does f-1(x) go through?
a)
(1, 4) and (4, 6)
b)
(-4, -1) and (-6, -4)
c)
(-1, -4) and (-4, -6)
d)
(4, 1) and (6, 4)
18.
Find the inverse of
f(x) = 1/4x - 7
f(x) = 1/4x - 7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x + 28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x + 28
19.
Are these functions inverses?
a)
Yes
b)
No
20.
is -3 a POSSIBLE zero of f(x)=3x3+2x2−5x+2
a)
no, 3 is not a factor of 3
b)
yes
c)
no, 2 is not a factor of 3
d)
no, 3 is not a factor of 2
21.
How many roots or zeros does the equation
f(x) = 5x4-8x3+4x2-6x+3 have?
f(x) = 5x4-8x3+4x2-6x+3 have?
a)
3
b)
4
c)
5
d)
0
22.
Match the graph to the function
a)
f(x)= -x2+3x+2
b)
f(x) = -x3+2
c)
f(x) = x3+2
d)
f(x) = ⅓x⁴-5x²+2
23.
Match the graph to the function
a)
f(x) = -x⁴-x³+5x²-6
b)
f(x) = x⁴+3x²-3x+1
c)
f(x) = -x³+2x²-x-6
d)
f(x) = x⁴+x³+5x²-6
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