AnswersTX-Algebra II A-CRUnit Test

Unit Test — Unit test Answers

37 verified answers5 views
21
Free Preview

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to ?

Question illustration
A
(5 – 7)2
B
(5)2 – 7
C
(5)2(5 – 7)
D
(5 – 7)x2
22
Free Preview

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to ?

Question illustration
A
4(x – 7)2 – x – 7 + 3
B
4(x – 7)2 – (x – 7) + 3
C
(4x2 – x + 3) – 7
D
(4x2 – x + 3)(x – 7)
23

Students are asked to graph the inverse, f–1(x) of an absolute value function, f(x) after restricting its domain. The directions also ask that the graph include a dashed line that can be used to verify that the functions are inverses of each other.Which student’s work is correct?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
24

Consider the tables that represent ordered pairs corresponding to a function and its inverse.

Question illustration
A
According to the tables, f(x) does not have a y-intercept.
B
According to the tables, f–1(x) does not have an x-intercept.
C
The domain of f(x) is restricted such that x ≥ 0, so the domain of f–1(x) is restricted such that y ≥ 0.
D
The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
25

For which pair of functions is ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
26

If and n(x) = x – 3, which function has the same domain as ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
27

Which function has an inverse that is also a function?

A
{(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)}
B
{(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)}
C
{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}
D
{(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}
28

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
29

The function is used to model the height of an object being tossed from a tall building, where h(t) is the height in meters and t is the time in seconds. What are the domain and range? Round to the nearest hundredth.

Question illustration
A
domain: [0, 12.76]range: [1.80, 590.90]
B
domain: range: [1.80, 590.90]
Option B
C
domain: range: [0, 590.90]
Option C
D
domain: [0, 12.76]range: [0, 590.90]
30

What are the domain and range of the function below?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
31

If h(x) = 5 + x and , which expression is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
5 + (5 + x)
32

Which function has an inverse that is a function?

A
b(x) = x2 + 3
B
d(x) = –9
C
m(x) = –7x
D
p(x) = |x|
33

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
34

If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?

Question illustration
A
(0, –2)
B
(1, –1)
C
(2, 0)
D
(3, 3)
35

Which description best explains the domain of ?

Question illustration
A
the elements in the domain of f(x) for which g(f(x)) is defined
B
the elements in the domain of f(x) for which g(f(x)) is not zero
C
the elements in the domain of g(x) for which g(f(x)) is defined
D
the elements in the domain of g(x) for which g(f(x)) is not zero
36

If and are inverse functions of each other and , what is ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
37

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?

A
The graph of f(x) passes the vertical line test.
B
f(x) is a one-to-one function.
C
The graph of the inverse of f(x) passes the horizontal line test.
D
f(x) is not a function.

Did you find these answers helpful?

More from this Course

Quiz
16 verified answers

Absolute Value Functions

Quiz
16 verified answers

Solving Absolute Value Equations

Quiz
15 verified answers

Absolute Value Inequalities