Cumulative Exam — Cumulative exam Answers

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21
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If f(x) is an odd function, which statement about the graph of f(x) must be true?

A
It has rotational symmetry about the origin.
B
It has line symmetry about the line y = –x.
C
It has line symmetry about the y-axis.
D
It has line symmetry about the x-axis.
22
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For which pair of functions is ?

Question illustration
A
f(a) = a2 – 4 and
Option A
B
and g(a) = 2a – 2
Option B
C
f(a) = 5 + a2 and
Option C
D
f(a) = 3 – 3a and g(a) = 4a – 5
24

Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?

A
0 with multiplicity 3, –3 with multiplicity 2, and –2 with multiplicity 1
B
0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1
C
0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1
D
0 with multiplicity 3, –3 with multiplicity 1, and –6 with multiplicity 1
25

If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?

A
On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0).
Option A
B
On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2)
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5).
Option C
D
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Option D
27

Which equation represents a linear function?

A
y – 2 = –5(x – 2)
B
x + 7 = –4(x + 8)
C
y – 3 = y(x + 4)
D
y + 9 = x(x – 1)
29

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?

A
(16, positive infinity)
Option A
B
(Negative 16, positive infinity)
Option B
C
(Negative infinity, 16)
Option C
D
(Negative infinity, Negative 16)
Option D
30

What is the value of 53i 9?

A
–125i
B
–15i
C
15i
D
125i
31

Use synthetic division to solve . What is the quotient?

Question illustration
A
x squared + 4 x + 3
Option A
B
x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction
Option B
C
x cubed + 4 x squared + 3 x
Option C
D
x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction
Option D
32

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of ?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D
34

If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?

A
5x3 + 9x2 + 15x + 27
B
25x2 + 90x + 84
C
x2 + 5x + 12
D
5x2 + 24
35

What is the factored form of ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
36

Which expression is a perfect cube?

A
mc005-1.jpg
Option A
B
mc005-2.jpg
Option B
C
mc005-3.jpg
Option C
D
mc005-4.jpg
Option D
38

The quotient of (x4 – 3x2 + 4x – 3) and (x2 + x – 3) is a polynomial. What is the quotient?

A
x4 – 2x2 + 5x – 6
B
x2 – x + 1
C
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
D
x4 – 4x2 + 3x
39

Which equation could generate the curve in the graph below?

Question illustration
A
y = 9x2 + 6x + 4
B
y = 6x2 – 12x – 6
C
y = 3x2 + 7x + 5
D
y = 2x2 + 8x + 8
40

Which expression is equivalent to ?

Question illustration
A
5 StartRoot 3 EndRoot i
Option A
B
6 StartRoot 3 EndRoot i
Option B
C
7 StartRoot 3 EndRoot i
Option C
D
8 StartRoot 3 EndRoot i
Option D

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