AnswersAcademy - Algebra Functions and Data AnalysisUnit Test

Unit Test Answers

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Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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Fiona is completing the square to solve the polynomial equation.x2 – 4x + 1 = 0

A
isolating the constant 1
B
adding 4 to both sides of the equation
C
isolating the second term, –4x
D
adding 1 to both sides of the equation
3

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?

a
absolute value
e
exponential
c
cube root
s
square root
4

The graph represents a mechanic’s labor costs for a given number of hours of car repair.

Question illustration
A
All repairs requiring 1 hour or less have the same labor cost.
L
Labor costs the same no matter how many hours are used for a repair.
L
Labor costs for a repair are less expensive as the number of hours increases.
T
There is no cost of labor for a repair requiring less than 1 hour.
5

Raj tried to solve the system below. Raj’s Work What error did Raj make?

Question illustration
R
Raj forgot to multiply the value of x by 9 when solving for the value of y.
R
Raj subtracted 120 from both sides when he solved for the value of x.
R
Raj forgot the negative sign when substituting –15 + 9x for y.
R
Raj found the value of –y instead of y.
6

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

f
f(x) = y + 3
f
f(x) = –y – 3
f
f(x) = –x + 3
f
f(x) = x – 3
7

Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

y
y – 12 = –5(x + 2)
y
y – 12 = 2(x + 2)
y
y + 12 = 2(x – 2)
y
y + 12 = –5(x – 2)
9

Which function has real zeros at x = −10 and x = −6?

f
f(x) = x2 + 16x + 60
f
f(x) = x2 − 16x + 60
f
f(x) = x2 + 4x + 60
f
f(x) = x2 − 4x + 60
10

Consider the function represented by the graph.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Which intervals show f(x) increasing? Choose two options.

A
[–2.5, –1.6)
B
[–2, –1]
C
(–1.6, 0]
D
[0, 0.8)
E
(0.8, 2)
12

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)?

−
−8
−
−4
3
33
4
49
13

A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a number of hours. If the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?

5
5.2
1
19
2
20.7
2
23
14

The table represents a linear function.

Question illustration
–
–8
–
–4
2
2
5
5
15

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

Question illustration
t
the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
t
the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit
t
the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius
t
the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit
16

three

Question illustration
T
The vertex is the maximum value.
T
The axis of symmetry is x = .
Option T
T
The domain is all real numbers.
T
The range is all real numbers.
T
The function is decreasing from (−∞, 6.75).
17

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which function could Heather be writing?

f
f(x) = x2 + 36x + 12
f
f(x) = x2 – 36x – 12
f
f(x) = –x2 + 12x + 36
f
f(x) = –x2 – 12x – 36
18

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
(0, 0), (0, 3), (2, 3), (5, 0)
B
(0, 0), (0, 5), (2, 3), (5, 0)
C
(0, 0), (2, 3), (5, 0)
D
(0, 3), (0, 5), (2, 3)
19

Which is true about the solution to the system of inequalities shown?y > 3x + 1y < 3x – 3

Question illustration
O
Only values that satisfy y > 3x + 1 are solutions.
O
Only values that satisfy y < 3x – 3 are solutions.
V
Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
T
There are no solutions.
20

When graphed, which parabola opens downward?

Question illustration
y
y = –3x2
y
y = (x – 3)2
C
Option
Option C
y
y = x2 – 3

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