AnswersTX-Pre-CalculusUnit Test

Unit Test — Unit test Answers

25 verified answers4 views
1
Free Preview

Identify the graph of the rational function with an x-intercept at (–4, 0) and (4, 0), a vertical asymptote at x = 2, and an oblique asymptote at y = x + 2.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
Free Preview

The inverse variation equation shows the relationship for a cruise ship’s travel between the rate of travel, x, and the time to travel, y for a distance of 600 miles. What is the rate of travel in miles per hour (mph) if the trip takes 24 hours?

Question illustration
A
2.5 mph
B
25 mph
C
144 mph
D
14,400 mph
3

The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of the function that represents the average cost per person?

A
The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.
B
The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
C
The vertical asymptote x = 0 represents that the cost per person approaches $0 as the number of people increases.
D
The vertical asymptote x = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
4

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. A curve opens up and to the right in quadrant 1, and another curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0.
Option A
B
On a coordinate plane, a hyperbola is shown. A curve opens up and to the right in quadrant 1, and another curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0.25.
Option B
C
On a coordinate plane, a hyperbola is shown. A curve opens up and to the left in quadrant 2, and another curve opens down and to the right in quadrant 4. A vertical asymptote is at x = 0.
Option C
D
On a coordinate plane, a hyperbola is shown. A curve opens up and to the left in quadrant 2, and another curve opens down and to the right in quadrant 4. A vertical asymptote is at x = 0.25.
Option D
5

Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

Question illustration
A
As x approaches -7 from the left, y approaches ∞.
B
As x approaches -7 from the right, y approaches -∞.
C
As x approaches 7 from the left, y approaches –∞.
D
As x approaches 7 from the right, y approaches –∞.
6

What is the solution of ?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
7

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola and parabola are shown. The hyperbola has a curve in quadrants 1 and 2. The parabola opens down and has a vertex at (0, 0).
Option A
B
On a coordinate plane, a hyperbola and a cubic functions are shown. They hyperbola has curves in quadrants 1 and 3, and the cubic function goes through (0, 0).
Option B
C
On a coordinate plane, a hyperbola is shown. One curve is in quadrant 1 and the other curves goes through quadrants 2 and 4.
Option C
D
On a coordinate plane, a hyperbola is shown. Both curves open downward in quadrants 3 and 4.
Option D
8

What is the solution set of ?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
9

Marshall bought 32 ounces of mixed nuts, which are estimated to be 30% peanuts. Which expression can be used to find the percentage of peanut concentration of the final mix if he adds x ounces of peanuts?

A
mc012-1.jpg
Option A
B
mc012-2.jpg
Option B
C
mc012-3.jpg
Option C
D
mc012-4.jpg
Option D
10

The equation shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?

Question illustration
A
The density approaches infinity.
B
The density approaches 0.
C
The density approaches 1.
D
The density approaches 13.
11

The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function , where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?

Question illustration
A
The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.
B
The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses.
C
The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses.
D
The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.
12

How does the graph of compare to the graph of the parent function ?

Question illustration
A
g(x) is shifted 4 units right and 6 units up from f(x).
B
g(x) is shifted 4 units right and 6 units down from f(x).
C
g(x) is shifted 4 units left and 6 units up from f(x).
D
g(x) is shifted 4 units left and 6 units down from f(x).
13

Which statement describes the vertical asymptotes of the graph of ?

Question illustration
A
The graph has no vertical asymptote.
B
The graph has a vertical asymptote at x = 8 only.
C
The graph has a vertical asymptote at x = –8 only.
D
The graph has vertical asymptotes at both x = 8 and x = –8.
14

Where are the vertical asymptotes for the following function located?

Question illustration
A
x = –4 and x = 6
B
x = –4 and x = 7
C
x = 4 and x = –6
D
x = 6 and x = 7
15

Which statement is true about the discontinuities of the function f(x)?

Question illustration
A
There are asymptotes at and .
Option A
B
There are holes at and .
Option B
C
There are asymptotes at and .
Option C
D
There are holes at and .
Option D
16

Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

What is the solution of ?

Question illustration
A
or x > 4
Option A
B
or x > 4
Option B
C
mc008-4.jpg
Option C
D
mc008-5.jpg
Option D
18

Megan borrowed $50,000 at 5% simple interest for 6 years. Joseph borrowed $60,000 at 4% simple interest for 8 years. The formula can be used to calculate the monthly payment, m, where P is the principle amount borrowed, r is the rate expressed as a decimal, and t is the amount of time for the loan, in years. Who will have a greater monthly payment, and by how much?

Question illustration
A
Megan will pay approximately $8 dollars more per month.
B
Megan will pay approximately $78 dollars more per month
C
Joseph will pay approximately $8 dollars more per month.
D
Joseph will pay approximately $78 dollars more per month.
19

The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the cyclist to complete a bicycle tour. Which rational function best models the data in the table?Time, x(hours)Average Speed, y(miles per hour)128166918

Question illustration
A
mc008-3.jpg
Option A
B
mc008-4.jpg
Option B
C
mc008-5.jpg
Option C
D
mc008-6.jpg
Option D
20

Mario makes 6 free throw shots out of his first 10 attempts. What is the least number of consecutive shots Mario must make to increase his overall percentage from 60% to at least 70%?

A
1 shot
B
4 shots
C
10 shots
D
14 shots

Did you find these answers helpful?

More from this Course

Quiz
24 verified answers

Unit Test

Quiz
25 verified answers

Unit Test

Quiz
25 verified answers

Unit Test