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
AnnZ [28]
3 years ago
5

Find Horizontal and Vertical Asymptotes for y=(1)/((x+2)^3)

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

Vertical asymptote: x = -2

Horizontal asymptote: y = 0 or x axis.

Step-by-step explanation:

The rational function is given as:

y=\frac{1}{(x+2)^3}

Vertical asymptotes are those values of x for which the function is undefined or the graph moves towards infinity.

For a rational function, the vertical asymptotes can be determined by equating the denominator equal to zero and finding the values of x.

Here, the denominator is (x+2)^3

Setting the denominator equal to zero, we get

(x+2)^3=0\\(x+2)=0\\x=-2

Therefore, the vertical asymptote occur at x=-2.

Horizontal asymptotes are the horizontal lines when x tends towards infinity.

For a rational function, if the degree of numerator is less than that of the denominator, then the horizontal asymptote is given as y=0.

Here, there is no x term in the numerator. So, degree is 0. The degree of the denominator is 3. So, the degree of numerator is less than that of denominator.

Therefore, the horizontal asymptote is at y=0 or x axis.

You might be interested in
Need this help me will give brainllest to the one gives me all three answer
PilotLPTM [1.2K]

Answer:

the sum is -4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help me......<br> Change the equation 8+4y=24 into slope-intercept form
andrew11 [14]
Slope-Intercept form - y = 4
8 0
2 years ago
In the diagram below, ZGRS - ZART, GR = 36, SR = 45, AR = 15, and RT = 18. G 36 А 15 R S T 45 18 Which triangle similarity state
Ainat [17]

Answer: the answer is D

7 0
3 years ago
Jackie drinks a bottle of water and a bottle of orange juice every morning.
igomit [66]

Answer: <u>B, about 280 ounces</u>

16.9 + 15.2 = 32.1

32.1 * 7 = 224.7

Not A because she doesn't drink 30 oz she drinks 32.

B is the closest and is rounding both numbers up.

C is false because you don't multiply by 10, you multiply by 7 because of the 7 days in a week.

D is false for the same reason as C.

4 0
2 years ago
Read 2 more answers
Line AB contains (0,4) and (1,6). Line CD contains points (2,10) and (-1,4). Lines AB and CD are
beks73 [17]

Answer: parallel because the slopes are the same

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Write the next five numbers in each sequence,
    10·1 answer
  • Which planet is 10 times as far as earth is from the Sun
    11·2 answers
  • What are the sine, cosine, and tangent of 2pi/3 radians?
    11·2 answers
  • Which equation shown below represents the equation of the inverse of the quadratic function shown below?
    9·2 answers
  • Which conclusion can be derived from this scatter plot?
    13·1 answer
  • What is the perimeter inyards of aroom that is 10 yards wide and 18 yards long​
    9·1 answer
  • 1. Jason had 144 pencils shoved in his locker. He decided to share them with 11 other kids
    6·1 answer
  • What is the intersection of AC and plane Q?
    14·1 answer
  • Turn -1.55 to a mixed number in simplest form
    6·1 answer
  • The diagram shows a triangle.<br> 84<br> 20u<br> 36<br> What is the value of u?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!