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
Alex787 [66]
3 years ago
5

Which type of asymptote, when it occurs, describes the behavior of a graph when x is close to some number?

Mathematics
1 answer:
arsen [322]3 years ago
4 0
Answer: A slant or oblique asymptote.

Explanation:
When a function is a rational function whose denominator is one degree lower than the numerator, a slant or oblique asymptote occurs when the function is graphed.

Example:
Consider the rational function
y = (2x² + 2x + 3)/(x + 1)
The degree of the numerator is 2, and the degree of the denominator is 1 so that the degree of the numerator is one higher than that of the denominator.

After long division, obtain
                    2x
       -----------------------
x+1  |  2x²  + 2x  + 3
          2x²  + 2x
         -------------------
                             3

That is,
(2x²+2x+3)/(x+1) = 2x + 3/(x+1)
As x -> ∞, 3/(x+1) -> 0, and the curve behaves as the straight line y = 2x.
The curve, therefore, approaches the straight line with a slope of 2.
For this reason, it is called a slant or oblique asymptote.

The graph of this function is shown below to illustrate the concept.

You might be interested in
Which has a greater slope (Rate of change)?<br><br> the graph<br><br> the table
Darya [45]

Answer:

The graph

Step-by-step explanation:

The graph has a slope of 2 while the table has a slope of 1.

2-1/6/5=1/1=1

2>1

4 0
3 years ago
A and B are two similar ornaments in the shape of a fish. The surface area of 44.8 cm and the surface area of B 179.2 cm Find th
ASHA 777 [7]

Answer:

400 cm

Step-by-step explanation:

1 cm = 1000m

44.8 cm=?

8 0
2 years ago
In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle<br> XYZ?
Molodets [167]

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

7 0
2 years ago
How do you write 4.40 × 10^3 in standard form?
Sindrei [870]

Answer:

4400 is the answer

Step-by-step explanation: You move the decimal point to the right 3 spaces. If it was 10^-3 you would move the decimal point to the left 3 spaces.

8 0
3 years ago
PLEASE HELP! I’M SO CONFUSED!!
romanna [79]

Answer:

The answer is 7.

Step-by-step explanation:

4 divided  by 7 is 0.571428 these just keep repeating over and over again so the closest dividable number of 6 (6 is how many digits there are before it repeats) is 1998 so the 2nd digit in .571428 is 7 hope this helps.

8 0
3 years ago
Other questions:
  • An arched entrances to a stadium is made by combining a square and a semicircle. What is the area of the opening?
    6·1 answer
  • Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?
    6·1 answer
  • -2- 5/4x =13 can someone pls help me!!!
    13·1 answer
  • A rectangle has an area of 209 square feet. The sides of the rectangle measure (4x-5) feet and (4x+3) feet. Find the dimensions
    9·1 answer
  • Help with these questions, please!!
    12·2 answers
  • What is the value of this function evaluated at f(-3)? f(x)= 2x^2+5x-9
    5·1 answer
  • What is the solution of the system? Use elimination.<br> 5x + 6y = 17<br> −10x − 9y = −43
    8·1 answer
  • I will give free brainliest :)
    13·2 answers
  • What is the slope of the line?
    10·1 answer
  • Pls help !!!!!!!!! i need help fast !!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!