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
MissTica
3 years ago
8

Which description compares the vertical asymptotes of function A and function B correctly?

Mathematics
1 answer:
neonofarm [45]3 years ago
8 0

Answer:

Option B:

Function A has a vertical asymptote at x = 1

Function B has a vertical asymptote at x = -3

Step-by-step explanation:

A function f(x) has a vertical asymptote if:

\lim_{x \to\\k^+}f(x) = \±\infty\\\\ \lim_{x \to\\k^-}f(x) = \±\infty

This means that if there is a value k for which f(x) has infinity or a -infinity then x = k is a vertical asymptote of f(x). Therefore, the closer x to k approaches, the closer the function becomes to infinity.

We can calculate the asymptote for function A.

\lim_{x \to \\1^+}(\frac{1}{x-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{1^-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{0}) = \infty\\\\and\\ \lim_{x \to \\1^-}(\frac{1}{x-1})\\\\\lim_{x \to \\1^-}(\frac{1}{0}) = -\infty

Then, function A has a vertical asymptote at x = 1.

The asymptote of function B can be easily observed in the graph. Note that the function b is not defined for x = -3 and when x is closest to -3, f(x) approaches infinity.

Therefore x = -3 is asintota of function B.

Therefore the correct answer is option B.

You might be interested in
This is for today someone help me?!!!!!
PolarNik [594]
I think that it’s 17 not a good
4 0
3 years ago
Read 2 more answers
Can someone help me with 19 and 20 plsss
SCORPION-xisa [38]
20. $158, 400 - multiply 40 by 22 to get the total square footage(880), then multiply 880 by 15 to get they total for the month, which is 13,200. lastly, you take 13,200 multiplied by 12(for each month in a year), and you get $157,400.
5 0
3 years ago
A question says "Mr. Dawson buys 3 packages of trading cards to divide evenly among his 4 grandchildren. There are 15 cards in e
Ronch [10]
(3 * 15) / 4 = 45/4 = 11....remainder 1....each grandkid gets 11 cards...equaling 44 cards....leaving 1 left for Mr. Dawson
3 0
3 years ago
Read 2 more answers
It is hard to calculate the volume of a mountain but several estimates put the volume of Mount Everest at around 2,413 cubic kil
scoray [572]

Answer:

About 609,000 Cowboy stadiums could fit inside of Mount Everest

Step-by-step explanation:

we have

The estimate volume of Mount Everest is at around 2,413\ km^{3}

The Dallas Cowboys Stadium has a volume of 140,000,000\ ft^{3}

step 1

Convert ft³ to km³

we know that

1 km=3,280.84 ft

so

140,000,000\ ft^{3}=140,000,000*(1/3,280.84)^{3}=0.003964\ km^{3}

step 2

To find how many Cowboy stadiums could fit inside of Mount Everest, divide the volume of Mount Everest by the volume of the Dallas Cowboys Stadium

2,413/0.003964=608,729

Round to the nearest Thousands

608,729=609,000

The volume of Mount Everest is about 609,000 times greater than the volume of the Dallas Cowboys Stadium

8 0
3 years ago
Rachel mows 5 lawns in 8 hours. At this rate how many lawns can she mow in 40 hour?
posledela

We can think of this as an equality

5 Lawns = 8 Hours

If she needs 40 hours, you can multiply 8 hours by 5 to get 40, but now it's not balanced. So, you need to multiply 5 to the other side too so:

5 x (5) = 8 x (5)

Therefore she mows 25 Lawns in 40 Hours

5 0
3 years ago
Other questions:
  • How many feet is the moon from earth
    5·2 answers
  • Picture shownnnmn helppp
    11·1 answer
  • Maggie wants to know how many students in her school enjoy watching sports on TV. She asks all 25 students in her math class and
    5·1 answer
  • Solve equation 3-8c = 35
    11·1 answer
  • May rides her bike the same distance that Leah walks. May rides her bike 10 mp/h faster than Leah walks. If it takes May 1 hr. a
    15·1 answer
  • If f(x)=11-8x, find f(5) and f(-3)
    8·1 answer
  • Last August, the Martin family paid 75 for home owners association fee in February,they paid 54 what is the percent of decrease
    5·1 answer
  • Solve the system of equations 5x + 2 y equals 12 5 x - 2 y equals 28
    15·1 answer
  • Can you please answer the following
    8·1 answer
  • Helpppppppppppppppppppppppp
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!