AnswersNY-Algebra II Term 1 HillcrestUnit Test

Unit Test — Unit test Answers

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If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

A
(f + g)(x) 3 for all values of x
Option A
B
(f + g)(x) 3 for all values of x
Option B
C
(f + g)(x) 6 for all values of x
Option C
D
(f + g)(x) 6 for all values of x
Option D
2
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If f(x) = 7 + 4x and , what is the value of ?

Question illustration
A
Eleven-halves
Option A
B
StartFraction 27 Over 10 EndFraction
Option B
C
160
D
270
3

Which of the following is an even function?

A
g(x) = (x – 1)2 + 1
B
g(x) = 2x2 + 1
C
g(x) = 4x + 2
D
g(x) = 2x
4

The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?

A
$18
B
$21
C
$27
D
$48
5

Which equation represents a nonlinear function?

A
x(y – 5) = 2
B
y – 2(x + 9) = 0
C
3y + 6(2 – x) = 5
D
2(y + x) = 0
6

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)
7

A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a given week, s, and her weekly earnings, e?

A
Option
Option A
B
e = 200s + 4
C
e = 4s + 200
D
Option
Option D
8

The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?

A
The value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.
B
The value of the comic book increased by a total of $0.04 between m = 36 and m = 60.
C
The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.
D
The value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.
9

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

A
Since the function is even, the outputs of a negative x-value and a positive x-value are the same.
B
Since the function is even, the outputs of a negative y-value and a positive y-value are the same.
C
The graph has rotational symmetry, so the point will be reflected across the y-axis.
D
The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.
10

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
11

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)
12

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

If , what is ?

Question illustration
A
Option
Option A
B
Option
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
14

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
15

Which of the following is an odd function?

A
f(x) = x3 + 5x2 + x
B
f (x) = StartRoot x EndRoot
Option B
C
f(x) = x2 + x
D
f(x) = –x
16

If and , what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

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

Question illustration
A
–439
B
–141
C
153
D
443
18

Which graph represents an odd function?

A
There are 6 points on a coordinate plane. The points are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1).
Option A
B
There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4).
Option B
C
There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0)
Option C
D
There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).
Option D
19

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

A
(ab)(x)
B
(StartFraction a Over b EndFraction) (x)
Option B
C
(a – b)(x)
D
(a + b)(x)
20

Given , what is the average rate of change in f(x) over the interval [1, 5]?

Question illustration
A
–6
B
Negative one-half
Option B
C
One-fourth
Option C
D
1

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