AnswersHCISD Algebra II A-CRRelations and Functions

Relations and Functions — Unit test Answers

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21
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Which statements can be used to compare the characteristics of the functions? Select three options.

A
f(x) has the greatest maximum.
B
h(x) has the greatest x-intercept.
C
g(x) has the smallest minimum value.
D
All three functions share the same domain.
E
All three functions share the same y-intercept.
22
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How is the graph of transformed to produce the graph of ?

Question illustration
A
The graph is translated left 5 units, compressed vertically by a factor of , and translated up 3 units.
Option A
B
The graph is stretched vertically by a factor of , translated left 5 units, and translated up 3 units.
Option B
C
The graph is translated left 5 units, compressed horizontally by a factor of , and translated down 3 units.
Option C
D
The graph is stretched horizontally by a factor of , translated left 5 units, and translated down 3 units.
Option D
23

The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.

Question illustration
A
Each point in the data set falls on the regression line.
B
The regression model is an accurate representation of the distance for any number of hours hiked.
C
Each point in the data set is near the regression line.
D
The regression model is inaccurate, as it does not begin at (0, 0).
24

The table shows the circumference of a tree in centimeters, y, at x years.Choose the function that represents the data.

Question illustration
A
y =
Option A
B
y = 2.7x
C
y = 2.7x
D
y = 2.7x2
25

Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.Plan A: Raise the price by $0.10 each week until the price reaches $12.00.Plan B: Raise the price by 10 percent each week until the price reaches $12.00.Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.Plan D: Raise the price by $0.25 each week until the price reaches $12.00.Which plan will result in the price of the feed reaching $12.00 fastest?

A
plan A
B
plan B
C
plan C
D
plan D
26

Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
27

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 infinity. To which family of functions might the described function belong?

A
reciprocal
B
square root
C
exponential
D
quadratic
28

The tables show functions representing the path of two rockets launched by different science lab groups.

Question illustration
A
Since the maximums occurred at the same x-value, the rockets followed the same path.
B
Since the x-intercepts are the same for both functions, the rockets followed the same path.
C
The rockets were in the air for the same amount of time, but the rocket for group B went higher in the air.
D
The rockets traveled the same height in the air, but the rocket for group B was in the air for a longer time.
29

Georgianna wants to use the linear model associated with the data in the table to make a prediction.

Question illustration
A
0 to 5 minutes
B
0 to 18 minutes
C
0 to 30 minutes
D
18 to 30 minutes
30

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years?

A
,
Option A
B
n = 1.5 t squared + 1.25
Option B
C
n = 1.5 t + 1.25
Option C
D
n = 1.25 times 2.5 Superscript t
Option D
31

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

Question illustration
A
y = x cubed minus 4
Option A
B
y = (x minus 4) cubed
Option B
C
y = (negative x minus 4) cubed
Option C
D
y = (negative x) cubed minus 4
Option D
32

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue = price number of backpacks.)

Question illustration
A
$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
B
$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
C
$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
D
$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.
33

Based on the family the graph below belongs to, which equation could represent the graph?

Question illustration
A
y = StartFraction 1 Over x + 2 EndFraction + 3
Option A
B
y = 0.2 Superscript x Baseline + 3
Option B
C
y = x cubed + 3
Option C
D
y = log x + 3
Option D
34

Which characteristics do the functions have in common? Select two options.

A
range
B
domain
C
minimum
D
x-intercept
E
y-intercept
35

Consider the functions f(x) = 3x2, , and h(x) = 3x.Which statements accurately compare the domain and range of the functions? Select two options.

Question illustration
A
All of the functions have a unique range.
B
The range of all three functions is all real numbers.
C
The domain of all three functions is all real numbers.
D
The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.
E
The domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.
36

Choose the function that represents the data in the table.

Question illustration
A
y = 3x + 2
B
y = 3x2 + 2
C
y =
Option C
D
y = 3x + 2
37

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

Question illustration
A
y = 47(1.191)x
B
y = 34(1.204)x
C
y = 26.9x – 1.3
D
y = 27x – 4
38

Maryanne throws a ball off the top of a building. The table shows the height of the ball in feet, f(t), at t seconds.

Question illustration
A
exponential
B
quadratic
C
linear
D
logarithmic
39

Which statements can be used to compare the characteristics of the functions? Select two options.

A
f(x) has an all negative domain.
B
g(x) has the greatest maximum value.
C
All three functions share the same range.
D
h(x) has a range of all negative numbers.
E
All three functions share the same domain.
40

The pressure of a fixed volume of a certain gas is related to its temperature as shown in the table below.Temperature of Gas vs. Pressure Temperature (in degrees Celsius)Pressure (in pascals)44915293609568977699Which type of function best models the data in the table?

A
exponential
B
logarithmic
C
linear
D
quadratic

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