AnswersFL-1200330-Algebra 2Modeling with Functions

Modeling with Functions — Unit test Answers

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1
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What is the solution, if any, to the inequality ?

Question illustration
A
no solution
B
all real numbers
C
n > 2 or n < 6
D
2 < n < 6
2
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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
3

Which graph shows the solution to the inequality ?

Question illustration
A
mc013-2.jpg
Option A
B
mc013-3.jpg
Option B
C
mc013-4.jpg
Option C
D
mc013-5.jpg
Option D
4

Which of the following accurately lists all discontinuities of the function below?

Question illustration
A
point discontinuity at x = –2
B
point discontinuity at x = 4; jump discontinuity at x = –2
C
point discontinuities at x = –4 and x = 4; jump discontinuity at x = –2
D
jump discontinuities at x = –4, x = –2, and x = 4
5

A farmer sells almonds according to the chart below. The more pounds of almonds that are sold, the lower the cost per pound is for the entire order of almonds.Almond PricesNumber of PoundsCost (per Pound)up to 10$20 more than 10, and up to 20$15 more than 20, and up to 30$10 more than 30$5 The farmer graphs a step function to model the situation, where y represents the cost per pound for an order of x pounds of almonds. Which of the following describes the farmer’s graph for the step that includes 20.75 pounds, and what is the total cost of 20.75 pounds of almonds?

A
a horizontal segment with an open circle at (20, 10) and a closed circle at (30, 10); $207.50
B
a horizontal segment with a closed circle at (20, 10) and an open circle at (30, 10); $207.50
C
a horizontal segment with an open circle at (21, 10) and a closed circle at (30, 10); $311.25
D
a horizontal segment with a closed circle at (21, 10) and an open circle at (30, 10); $311.25
6

The ideal gas law states that the volume, v, of a gas in liters varies directly with the amount of the gas in moles, n, and the absolute temperature, T, in kelvins and varies inversely with the pressure, P, in atmospheres. Two moles of a gas have a volume of 35.424 L at 270 kelvins when P = 1.25 atmospheres. What is the volume of 3 moles of a gas at 280 kelvins when P = 1.5 atmospheres?

A
11.48 L
B
27.33 L
C
45.92 L
D
103.32 L
7

The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. A 40-kg object is 2 meters off the ground. The potential energy of the object is 784 joules. A 10-kg object is 3 meters off the ground. What is the potential energy of the 10-kg object?

A
33 joules
B
131 joules
C
294 joules
D
1,176 joules
8

Which of the following gives a single solution of the inequality and shows a graph that can be used to determine the entire solution set of the inequality?

Question illustration
A
x = 0
Option A
B
x = –1
Option B
C
x = 2
Option C
D
x = 5
Option D
9

Fuaad solved an absolute value inequality and expressed the solution as . What is another way to show Fuaad’s solution?

Question illustration
A
mc008-2.jpg
Option A
B
(–12, 7]
C
mc008-3.jpg
Option C
D
mc008-4.jpg
Option D
10

Which of the following is the graph of f(x) = 3|x – 4| + 1?

A
mc017-1.jpg
Option A
B
mc017-2.jpg
Option B
C
mc017-3.jpg
Option C
D
mc017-4.jpg
Option D
11

The equation of the piecewise function f(x) is below. What is the value of f(–2)?

Question illustration
A
f(–2) = –6
B
f(–2) = –4
C
f(–2) = 0
D
f(–2) = 3
12

The graph below is an example of which type of function?

Question illustration
q
quadratic
l
linear
c
cubic
s
square root
13

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

When m = 2 and p = , j = 32. If j varies directly with m and inversely with p, what is the constant of variation?

Question illustration
A
4
B
16
C
64
D
256
15

If , , and , what is ?

Question illustration
A
mc013-5.jpg
Option A
B
mc013-6.jpg
Option B
C
mc013-7.jpg
Option C
D
mc013-8.jpg
Option D

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