AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PUnit 1 TEST: Equations

Lesson 2.2: Function Operations Answers

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If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?

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A
The leading coefficients of f(x) and g(x) are opposites.
B
The leading coefficients of f(x) and g(x) are opposite reciprocals.
C
The leading coefficients of f(x) and g(x) are the same.
D
The leading coefficients of f(x) and g(x) are reciprocals.
2
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If f(x) = 3 – 2x and , what is the value of ?

Question illustration
A
–169
B
–1
C
13
D
104
3

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

A
–196
B
–168
C
22
D
78
4

If and d(x) = x + 3, what is the domain of (cd)(x)?

Question illustration
A
all real values of x
B
all real values of x except x = 2
C
all real values of x except x = –3
D
all real values of x except x = 2 and x = –3
5

If p(x) = x2 – 1 and , which expression is equivalent to (p – q)(x)?

Question illustration
A
5(x – 1) – x2 – 1
B
(5x – 1) – (x2 – 1)
C
(x2 – 1) – 5(x – 1)
D
(x2 – 1) – 5x – 1
6

If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to ?

Question illustration
A
StartFraction 3 (6) minus 1 Over 2 (6) + 1 EndFraction
Option A
B
StartFraction (6) Over 2 (6) + 1 EndFraction
Option B
C
StartFraction 36 minus 1 Over 26 + 1 EndFraction
Option C
D
StartFraction (6) minus 1 Over (6) + 1 EndFraction
Option D
7

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

A
6 – 3 – (4 + 3)2
B
6 – 3 – (4 – 32)
C
6(3) – 4 + 32
D
6(3) – 4 – 32
8

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

A
12
B
14
C
36
D
38
9

The graphs of f(x) and g(x) are shown below. For what interval is the value of (f – g)(x) negative?

Question illustration
A
(negative infinity, negative 1)
Option A
B
(negative infinity, 2)
Option B
C
(0, 3)
Option C
D
(2, infinity)
Option D
10

Which expression is equivalent to (st)(6)?

A
s(t(6))
B
s(x) × t(6)
C
s(6) × t(6)
D
6 × s(x) × t(x)

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Lesson 2.2: Function Operations Answers — OC27…