Unit Test Answers

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36
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Which relation represents a function?

A
StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet
Option A
B
StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet
Option B
C
StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet
Option C
D
StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet
Option D
37
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Consider the following functions.f(x) = x2 – 4 g(x) = x – 2What is (f(x))(g(x))?

A
(f(x))(g(x)) = x + 2; x ≠ 2
B
(f(x))(g(x)) = x + 2; all real numbers
Option B
C
(f(x))(g(x)) = x3 – 2x2 – 4x + 8; x ≠ 2
D
(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numbers
Option D
38

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function. Is Shayla applying the vertical line test correctly?

A
No, because the y-axis is a horizontal line.
B
No, because using the y-axis tests only whether x = 0 is mapped to multiple values.
C
Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.
D
Yes, because the y-axis represents all vertical lines of the x-values.
39

Which function has an inverse that is also a function?

A
g(x) = 2x – 3
B
k(x) = –9x2
C
f(x) = |x + 2|
D
w(x) = –20

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