AnswersTX-Algebra II A-CRUnit Test

Unit Test — Unit test Answers

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The function is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the time in seconds. What are the domain and range of the function h(t)? Round values to the nearest hundredth.

Question illustration
A
domain: [0, 3.85]range: [0, 18.05]
B
domain: range: [1.9,18.05]
Option B
C
domain: [0, 3.85]range: [1.9,18.05]
D
domain: range: [0, 18.05]
Option D
2
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Which tables could be used to verify that the functions they represent are inverses of each other? Select two options.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
3

If a(x) = 3x + 1 and , what is the domain of ?

Question illustration
A
mc017-3.jpg
Option A
B
mc017-4.jpg
Option B
C
mc017-5.jpg
Option C
D
mc017-6.jpg
Option D
4

If and , what is the domain of ?

Question illustration
A
mc020-4.jpg
Option A
B
mc020-5.jpg
Option B
C
mc020-6.jpg
Option C
D
mc020-7.jpg
Option D
5

If h(x) is the inverse of f(x), what is the value of h(f(x))?

A
0
B
1
C
x
D
f(x)
6

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
7

Consider the function. Which conclusions can be drawn about f–1(x)? Select two options.f–1(x) has a slope of .f–1(x) has a restricted domain.f–1(x) has a y-intercept of (0, –36).f–1(x) has an x-intercept of (–36, 0).f–1(x) has a range of all real numbers.

Question illustration
A
f–1(x) has a slope of .
Option A
B
f–1(x) has a restricted domain.
C
f–1(x) has a y-intercept of (0, –36).
D
f–1(x) has an x-intercept of (–36, 0).
E
f–1(x) has a range of all real numbers.
8

If , what is ?

Question illustration
A
mc003-3.jpg
Option A
B
mc003-4.jpg
Option B
C
f Superscript negative 1 Baseline (x) = one-ninth x + 2
Option C
D
f Superscript negative 1 Baseline (x) = negative 2 x + one-ninth
Option D
9

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
10

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range: (0,)
Option B
C
domain: range:
Option C
D
domain: range:
Option D
11

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

Question illustration
A
–439
B
–141
C
153
D
443
12

When graphing the function on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?

Question illustration
A
Xmin: –10, Xmax: 10Ymin: –10, Ymax: 10
B
Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20
C
Xmin: –5, Xmax: 5Ymin: –20, Ymax: 20
D
Xmin: –10, Xmax: 10Ymin: –5, Ymax: 5
13

A function and its inverse are shown on the same graph.

Question illustration
A
The slope of f–1(x) is the same as the slope of f(x).
B
The slope of f–1(x) is the opposite as the slope of f(x).
C
The x-intercept of f–1(x) is the same as the y-intercept of f(x).
D
The x-intercept of f–1(x) is half of the y-intercept of f(x).
14

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

Question illustration
A
(0, 6)
B
(1, 4)
C
(2, 2)
D
(3, 0)
15

Consider the tables created using an initial investment of $1,000 and quarterly compounding of interest.Table A represents the function that models the total amount of one investment, a(x), based on the annual interest rate, x, as a percent.Table B represents the function that models the interest rate, r(d), as a percent, based on the total amount at the end of the investment, d.

Question illustration
A
The functions are inverses because the domain of Table A is the same as the range of Table B.
B
The functions are inverses because the range of Table A is different from the domain of Table B.
C
The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (x, y) for the other function.
D
The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.
16

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

Question illustration
A
4x3 + 18x2 – 10x
B
x2 + 9x – 2
C
16x2 + 4x – 6
D
4x2 + 20x – 2
17

Consider the function.What is the y-intercept of f–1(x)?

Question illustration
A
–16
B
–12
C
Option
Option C
D
Option
Option D
18

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

A
On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2).
Option A
B
On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).
Option B
C
On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2).
Option C
D
On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).
Option D
19

The graph below shows two linear functions.

Question illustration
A
Neither of the lines is parallel to the line y = x; therefore, the functions are inverses of each other.
B
Neither of the lines is parallel to the line y = x; therefore, the functions are not inverses of each other.
C
The point of intersection of the two functions is not on the line y = x; therefore, the functions are inverses of each other.
D
The point of intersection of the two functions is not on the line y = x; therefore, the functions are not inverses of each other.
20

What are the inputs of the function below?x–8246f(x)–6–315

A
–6, –3, 1, 5
B
–6, –3, 4, 6
C
–8, 2, 4, 6
D
–8, 2, 1, 5

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