Function Operations Answers
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1
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The graphs of f(x) and g(x) are shown below. Which of the following is the graph of (g – f)(x)?
A
On a coordinate plane, a straight line with a negative slope goes through points (negative 2, 6), (0, 0), and (2, negative 6)
B
On a coordinate plane, a straight line with a negative slope goes through points (negative 6, 6), (0, 0), and (6, negative 6).
C
On a coordinate plane, a straight line with a positive slope goes through points (negative 2, negative 6), (0, 0), and (2, 6).
D
On a coordinate plane, a straight line with a positive slope goes through points (negative 6, negative 6), (0, 0), and (6, 6).
2
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If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
A
6 – 3 – (4 + 3)2B
6 – 3 – (4 – 32)C
6(3) – 4 + 32D
6(3) – 4 – 323
Which expression is equivalent to ?
A
f (5) times g (5)
B
f (5) + g (5)
C
5 f (5)
D
5 g (5)
5
If p(x) = x2 – 1 and , which expression is equivalent to (p – q)(x)?
A
5(x – 1) – x2 – 1B
(5x – 1) – (x2 – 1)C
(x2 – 1) – 5(x – 1)D
(x2 – 1) – 5x – 17
The graphs of f(x) and g(x) are shown below. For what interval is the value of (f – g)(x) negative?
A
(negative infinity, negative 1)
B
(negative infinity, 2)
C
(0, 3)
D
(2, infinity)
8
If and , what is the value of (f – g)(144)?
A
–84B
–60C
0D
489
If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to ?
A
StartFraction 3 (6) minus 1 Over 2 (6) + 1 EndFraction
B
StartFraction (6) Over 2 (6) + 1 EndFraction
C
StartFraction 36 minus 1 Over 26 + 1 EndFraction
D
StartFraction (6) minus 1 Over (6) + 1 EndFraction
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