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
sashaice [31]
3 years ago
5

Which of the following functions have graphs that contain no asymptotes? select all that apply

Mathematics
2 answers:
Sindrei [870]3 years ago
8 0

Answer:

Step-by-step explanation:

The graph of the power function has no asymptotes.  Check this one.

The graph of the reciprocal function DOES have asymptotes, both vertical and horizontal.  Do not check this function.

The graph of an exponential function has one asymptote, which is the line y = 0 (that is, the x-axis).  Do not check this function.

The graph of a log function has one asymptote, which is the line x = 0 (that is, the y-axis).  Do not check this function.

The root function does not have asymptotes.  Check this function.

madam [21]3 years ago
5 0

Answer:

The power function and the root function

Step-by-step explanation:

Let's consider each function in turn.

Power function

y = xⁿ

For every value of x, there is a corresponding value of y.

There are <em>no asymptotes.</em>

Reciprocal

y = 1/x

The <em>y-axis is an asymptote</em>, because x cannot equal 0. y ⟶ ∞ as x ⟶ 0₊ and y ⟶ -∞ as x ⟶ 0₋

Similarly, the <em>x-axis is an asymptote,</em> because there is no finite value of x for which y = 0.

Exponential

y = b^{x}

The <em>x-axis is an asymptote</em>, because y can never be negativeand y ⟶ 0

as x ⟶ -∞.

Logarithmic

y = \text{log}_{b}(x)

The <em>y-axis is an asymptote</em>, because x cannot be negative and logx ⟶ -∞ as x ⟶ 0.

Root

y = \sqrt[5]{x}

There can be no negative value of x, but there is a value of y for every positive value of x.

Thus, there is no asymptote.

The power function and the root function have no asymptotes.

You might be interested in
PLEASE HELP! NEED TO SUBMIT SOON! NOT SURE IF I GOT THE RIGHT ANSWERS! THANK YOU IN ADVANCE!!!
Eddi Din [679]
Nice

4s=amount of grams of protine in straberry for s ounces
3b=amount of grams of protine in banana for b ouces

total ounces is 6
s+b=6

total grams is 22
4s+3b=22

s+b=6
4s+3b=22
those are the 2 equations

a.
s+b=6
4s+3b=22


b. elmination, we can elminate alll the b's and have 1s left

c.
multiply first equaiton by -3 and add to second

4s+3b=22
<u>-3s-3b=-18 +</u>
1s+0b=4
s=4
sub
s+b=6
4+b=6
minus 4
b=2

4 oz straberry
2 oz banana
8 0
3 years ago
Use synthetic division to determine if x+2 is a factor of f(x)=5x2+13x+6
Karolina [17]

Answer:

x+2 is a factor of f(x)  = 5x^2 + 13x + 6

Step-by-step explanation:

To check: If (x+2) is a a factor of the polynomial f(x)  = 5x^2 + 13x + 6

We need to check if x  = -2 is the FACTOR of the given polynomial.

⇒ To show:  f (-2)  =  0

Now

f(-2)  = 5(-2)^2 + 13(-2) + 6\\=5(4) -26 + 6\\= 20 + 6 - 26\\= 26 - 26  = 0\\\implies f(-2) = 0

Since, f(-2) = 0

⇒  -2 is the ROOT of the Polynomial f(x).

⇒(x +2) is the factor of the given polynomial.

Hence, x+2 is a factor of f(x)  = 5x^2 + 13x + 6

4 0
3 years ago
The cat is a high speed catamaran auto ferry that operates between city A and city B the cat can make the trip in about 2 and 1/
Lyrx [107]
If the CAT operates with a constant speed of 53 mph (which means it beats 53 miles in one hour) and makes a trip in about 2 and 1/2 hours, we just have to multiply 53 by 2 1/2 to find out the overall distance it's beating in that time:

53 * 2 1/2 =
= 53 * 2.5 =
= 132.5

Answer: City A is about <u>132.5 miles</u> from city B.
4 0
3 years ago
What is 340 decreased by 35%?
masha68 [24]
221. 119 is 35% of 340. 340-119=221
hope it helped
7 0
2 years ago
Read 2 more answers
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink
Setler [38]

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

7 0
3 years ago
Read 3 more answers
Other questions:
  • Describe the graph represented by the equation r=5/(3+2 sin theta).
    8·1 answer
  • Help I don’t know how to figure this problem out
    15·1 answer
  • Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y = 5.
    8·2 answers
  • Please help me with this and i will reward 50 points if you answer all the areas.
    5·2 answers
  • The graph shows a proportional relationship.Use the graph to identify the unit rate
    15·1 answer
  • The simple interest rate in a payment plan is 12%, and the principal amount borrowed is $10,000. Which function
    15·1 answer
  • Question 16 of 17
    7·1 answer
  • Please help me solve these 3 problems. Solve for x state the properties used and check your answer. I’ll mark as brainliest.
    13·1 answer
  • HELP!! Identify the transformation from ABC to A'B'C'.
    15·1 answer
  • Helppppppppppppppppp
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!