1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
defon
2 years ago
14

Which statement about the asymptotes is true with respect to the graph of this function?

Mathematics
2 answers:
Ratling [72]2 years ago
7 0
When you graph the equation you notice that there is 2 vertical and 1 horizontal asymptote. or D
tensa zangetsu [6.8K]2 years ago
3 0

Answer:

Option D.

Step-by-step explanation:

The given function is

f\left(x\right)=\dfrac{3x^{2}-3}{x^{2}-4}

In this function the degree of numerator an denominator is same i.e., 2.

Horizontal Asymptotes: If the degree of numerator an denominator is same, then

\text{Horizontal asymptote}=\frac{\text{Leading coefficient of numerator}}{\text{Leading coefficient of denominator}}

\text{Horizontal asymptote}=\frac{3}{1}

\text{Horizontal asymptote}=3

Horizontal asymptote is y=3.

f(x)=3

\dfrac{3x^{2}-3}{x^{2}-4}=3

3(x^{2}-1)=3(x^{2}-4)

x^{2}-1=x^{2}-4

1=4

This statement is false for any value of x, therefore the graph does not cross the horizontal asymtote.

Vertical Asymptotes: Equate the denominator equal to 0, to find the vertical asymptotes.

x^2-4=0

Add 4 on both sides.

x^2=4

Taking square root on both sides.

x=\pm \sqrt{4}

x=\pm 2

Vertical asymptotes are x=2 and x=-2.

The graph has two vertical asymptotes and one horizontal asymptote.

Therefore, the correct option is D.

You might be interested in
Solve a math problem
mars1129 [50]
1000add10000. 11000............
7 0
3 years ago
Read 2 more answers
Adonis created a rectangular play area for his dog in his backyard. The length of the long side was 10ft and the length of the s
Drupady [299]

Answer:

The perimeter of the dog's play area is 30 ft

Step-by-step explanation:

Rectangle:

  • The opposite sides are congruent.
  • The opposite angles are congruent.
  • The sum of all four angles of a rectangle is 360°.
  • The sum of two adjacent angles of a rectangle is 180°.
  • The diagonals bisect each other.
  • The perimeter of a rectangle is = 2(Length+width)
  • The area of a rectangle is = Length × width

Given that,

The length of the long side of the dog's play area was = 10 ft.

So, Length of dog's play area is = 10 ft.

The length of the short side of the dog's play area was = 5 ft.

So, width of dog's play area is = 5 ft.

It is a rectangular plot.

So, the perimeter of the dog's play area is =2(Length+width)

                                                                      =2(10+5) ft

                                                                      =2(15) ft

                                                                      =30 ft

5 0
3 years ago
What is the perimeter of the shape below if 1 square is equal to 1 square foot
Radda [10]
The base, b, of a two-dimensional figure can be any side. The height, h, is the measure of a perpendicular line segment from the base to the top of the figure. Area is the number of square units needed to cover a flat surface without gaps or overlaps. A square unit is a square that is 1 unit long and 1 unit wide. To find the area of a figure, count the number of square units inside the figure. im sure thats right . now 
5 0
3 years ago
The formula y = mx + b is called the slope-intercept form of a line. Solve this formula for m
Evgesh-ka [11]

Answer:

m = \frac{y-b}{x}

Step-by-step explanation:

Given

y = mx + b ( subtract b from both sides )

y - b = mx ( divide both sides by x )

\frac{y-b}{x} = m

3 0
3 years ago
Explain why a + b = d.<br> B<br> A<br> C<br> swer
bixtya [17]

Answer:

<em>Explanation below</em>

Step-by-step explanation:

<u>Angles in a Triangle</u>

There are two basic relations of angles we need to recall:

  • Supplementary angles add up to 180°
  • Internal angles of a triangle add up to 180°

Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:

c = 180 - ( a + b )

Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus

c = 180 - d

From the two relations above, it follows that:

a + b = d

4 0
2 years ago
Other questions:
  • in a paper airplane contest marcels plane travels 3.345 meters. salvadors plane travels 3.35 meters. jennifers plane travels 3.3
    7·2 answers
  • Victor malaba has a net income of $1,240 per month if he spends $150 on food, $244 on a car payment, $300 on rent, and $50 on sa
    8·1 answer
  • Which of the following obtains data from a subset of a population to evaluate traits of the population?
    14·1 answer
  • In which of the following situations would someone have to pay a gift tax?
    7·2 answers
  • if a box of pen given 200 children each will get two points if the number of children is reduced by 10 how many pens would each
    8·1 answer
  • Part C: 18(182 + 82)<br> What’s the answer
    13·2 answers
  • I bad at division<br> i was good at it in 2nd grade but then i lost it
    10·1 answer
  • What is the x-intercept of the line?<br> (-38,40)<br> (-23,30)<br> (-8,20)
    14·1 answer
  • PLEASE HELP MEEEE!!!! WILL GIVE BRAINLIEST
    7·1 answer
  • List the numbers in order from least to greatest:<br><br> -4, -9/4, 1/2, 3.7,
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!