How to find vertical asymptotes and horizontal asymptotes of a rational function?

1 answer:

7 0

A vertical asymptote occurs when the graph of a function approaches infinity as the independent variable approaches one or more specific rational values. This happens when the denominator of a fraction becomes zero. However, the fraction has to be in its simplest form (no common monomial factor between denominator and numerator).
A horizontal asymptote usually occurs for large positive or negative values of the independent variable where the function is a fraction and the polynomials forming the numerator and denominator have the same degree.
Example: y=(x+7)/(x-1) has a vertical asymptote at x=1 and a horizontal asymptote at y=1.
Example: y=(3x²+5x+9)/(x²-1) has a vertical asymptote at x=1 and at x=-1, and a horizontal asymptote at y=3.

You might be interested in

What is the sum of 6 and q?

Olin [163]

6+w is the answer to thst

8 0

2 years ago

Help me solve this problem please

Mkey [24]

Answer:

Step-by-step explanation:

y=-3x

Because Y=-3x

3 0

2 years ago

Jenna uses 18 inches of ribbion for each box she wraps how many yards of rib ion does she need to wrap 4 boxes

Sav [38]

Hello Myeisha91!

First we need to find how many inches in total to wrap 4 boxes. We do that by multiplying 18 x 4 = 72 so Jena needs 72 inches. The question wants to know how many yards so we need to convert 72 inches into yards. We can convert inches to yards by using a conversion factor. We know that 1 inch = 0.0277778 yd. Now that we know 1 inch = 0.0277778 yd, lets convert the 72 inches to yards.

We convert 72 in to yards by multiplying 72 in by $\frac{0.0277778\;yd}{1\; in}$
$72\;in\times\frac{0.0277778\; yd}{1\;in} = 2\; yd$
So Jenna will need 2 yards to wrap 4 boxes.

6 0

3 years ago

A psychology professor wants to know whether verbal ability is related to memory quality in current first-year students at her s

alexgriva [62]

Answer:

The variable are

A and B

Step-by-step explanation:

Generally we can define a variable as a name of a placeholder representing a value now considering the option to be selected from we see that

The students' verbal SAT scores is a variable because it is a phrase or a place holder that represent a value (in the is case a numerical value) which the score its self

The second option The students' percentage of words that were correctly recognized on the original list is also a variable because it is a placeholder of a name (in this case a phrase ) that represented the actual value itself

The third option The 75 students is not a variable because it is not representing any value but itself is the value

The third option The 750 students is not a variable because it is not representing any value but itself is the value

8 0

2 years ago

I NEED HELP PLS WHOEVER CAN ANSWER THIS CORRECTLY I WILL MAKE THEM THE BRAINLIEST

lbvjy [14]

Answer:

1) 6

2) Ron is 12 and his. father is 36

3) Duke is 50 and Mae is 10 years old

4 0

2 years ago