Graphing Rational Functions by Julia Cisneros

Answer

2022-10-17 17:48:31 UTC

vertical asymptopes are the zeros of the equation, and horizontal asymptopes is when the top degree is less than the bottom of the degree

Vertical asymptotes are the zeros of the fraction and horizontal asymptotes are found by comparing the power of the numerator and denominator

2022-10-17 17:48:37 UTC

to find vertical u use the domain found from setting denominator equal to zero.

2022-10-17 17:48:47 UTC

for horizontal u look at the degrees of the top and bottom number of the fraction and use the rule.

2022-10-17 17:48:53 UTC

To find the vertical asymptote it os just the zeros of the denominator. The horizontal asymptote depends on the power of the n and m values, which are the numerator and denominator respectively. You can do y=0 if n is less than m, n/m if they are equal and if n is greater than m that is a slant asymptote.

To find the Vertical Asymptote, you Need to set the bottom equation to 0 and find the value of x. I o find the Horizontal Asymptote, you need to see what exponent is bigger on what part of the fraction bar. If it is bigger on the bottom then it doesn’t exist. If the bottom is bigger than it is 0.

2022-10-17 17:48:53 UTC

2022-10-17 17:48:59 UTC

To find the Vertical asymptotes you first find the zeros and those are your vertical asymptotes and to find the horizontal asymptotes you look at the degrees of the numerator and denominator

2022-10-17 17:50:06 UTC

1) Vertical asymptote: Set denominator to 0 and solve

2) Horizontal asymptote: Determined by which degree is bigger on the denominator or numerator.

Answer

2022-10-17 17:50:32 UTC

A) you find the zeroes
B) you see if the bottom degree is larger than top, if so, it’s 0. If equal it’s the fraction. If the top is larger then it’s slant and you have to do more annoying math to figure that out.

2022-10-17 17:51:29 UTC

You find the 0s of the denominator to find vertical asymptotes and you compare the degree of numerator and denominator to then find the horizontal asymptotes

for the VA you set the denominator to zero and then solve to find the value of those zeroes and for the HA you follow the rules depending on the value of the degrees

2022-10-17 17:52:08 UTC

2022-10-17 17:52:30 UTC

the VA is the domain

the HA is based on if the numerator or denominator has a larger value, if the bottom is larger its 0, if the top is larger there isn't a HA there's just a slant, if it's equal then you solve for the final product.

2022-10-17 17:52:43 UTC

To find the VA, find the domain restrictions of the function

To find the HA look at the degree values of the top and bottom of the function and compare n=numerator m=denominator
NN=m - solve for equation
N>m - no horizontals, but check for slant

2022-10-17 17:52:54 UTC

1. To find the vertical asymptote, you have to set the denominator to 0 to determine the x value. 2. To get the horizontal asymptote, you have to look at the degree from both the numerator and denominator and determine whether it’s bigger, smaller, or the same number degree.

Vertical and Horizontal Asymptotes

2022-10-17 17:53:07 UTC

To find the vertical asymptote, find the domain of the function, and whatever x cannot equal is the vertical asymptote. To find the horizontal asymptote, determine if the degree on the denominator is greater than or equal to the degree of the numerator on the top.

2022-10-17 17:53:20 UTC

To find the VA, it is the exact same as the domain, just a copy and paste. To find the domain, you solve the denominator and get the zeros. To find HA, look at the powers of the numerator and denominator and know the rules. If n>m, you find a slant asymptote. If n

You find the vertical by finding the zeroes of the equation. Than you find the horizontal by seeing if the degree on top is higher than the degree on bottom.

2022-10-17 17:53:25 UTC

2022-10-17 17:53:58 UTC

To find the vertical asymptote, you have to find the zeros of the equation.
To find the horizontal asymptote. You have to look at the degrees in the numerator and denominator. If the numerator degree is smaller than the denominator, then y=0. If the numerator degree is bigger than the denominator, then there is no HA. If they are equal you use synthetic division to find it

Horizontal and vertical asymtopes

s25600704 — 2022-10-17 17:54:02 UTC

Horizontal- if the numerators degree is bigger than the denominator then there is no horizontal asymtopes. If the denominators degree is larger than the numerators then the asymtopes is zero. If the top and bottom degrees are the same then the first number is the answer
Vertical- find the numerators x values, what can't be x(what can make the numerator zero).

2022-10-17 17:54:58 UTC

VA: same as domain
HA: if the numerator is greater than denominator than there is a slant, if the numerator and denominator are equal than the HA is the constant, and if the numerator is less rah the denominator then y=0

Vertical asymptotes are found by looking where an x value makes the equation divide by 0, horizontal are found by examining the powers of the top and bottom terms

2022-10-17 17:55:08 UTC

2022-10-17 17:55:20 UTC

1) Zeros of the denominator
2)1. If the greatest power in the numerator is lower than the greatest power in the denominator than the VA is 0
2. If the greatest powers are equal, divide the quoficients and get the VA
3. If the greates power in the numerator is higher than the greatest power in the denominator than use synthetic division to grt the slant one

2022-10-17 17:56:42 UTC

The vertical asymptote is found by setting the denominator to 0, and then solving for x.
The horizontal asymptote is found by comparing the degrees of the leading coefficients on both the numerator and the denominator. If the degree of the denominator is larger than the degree of the numerator, y=0. If the degree of the denominator is smaller than the degree of the numerator, there is no horizontal asymptote (there is a slant). But if the degree of the denominator is equal to the numerator, y= the ratio of the leading coefficients.

2022-10-17 17:58:06 UTC

If numerator degree < denominator degree then y=0

If degrees are equal then it’s coefficient/ coefficient

If numerator degree> denominator degree then y = no asymptote