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What is the horizontal asymptote of an equation where the leading coefficient of the numerator is greater than that of the denominator?
The leading coefficient doesn't come into play unless certain exponent criteria are matched. I believe that to calculate where the horizontal asymptote is you need to concern yourself with the highest exponent and where it is located
ie, the horizontal asymptote for
y=(3t^2+5t)/(4t^2-3)
is y=3/4
What else can I help you with?
What is the horizontal asymptote of f x equals x squared minus 9 divided by x squared minus 4?
y = 1. When the degree of your numerator is the same with the degree of your denominator, then y = the ratio of the leading coefficients of the numerator and denominator is the horizontal asymptote.
What is the equation of the asymptote of the graph of?
To determine the equation of the asymptote of a graph, you typically need to analyze the function's behavior as it approaches certain values (often infinity) or points of discontinuity. For rational functions, vertical asymptotes occur where the denominator equals zero, while horizontal asymptotes can be found by comparing the degrees of the numerator and denominator. If you provide a specific function, I can give you its asymptote equations.
True or False if a rational function Rx has exactly one vertical asymptote then the function 3Rx should have the exact same asymptote?
It will have the same asymptote. One can derive a vertical asymptote from the denominator of a function. There is an asymptote at a value of x where the denominator equals 0. Therefore the 3 would go in the numerator when distributed and would have no effect as to where the vertical asymptote lies. So that would be true.
How do you solve asymptote?
To solve for asymptotes of a function, you typically look for vertical, horizontal, and oblique asymptotes. Vertical asymptotes occur where the function approaches infinity, typically at values where the denominator of a rational function is zero but the numerator is not. Horizontal asymptotes are determined by analyzing the behavior of the function as it approaches infinity; for rational functions, this involves comparing the degrees of the polynomial in the numerator and denominator. Oblique asymptotes occur when the degree of the numerator is one higher than that of the denominator, and can be found using polynomial long division.
Has a numerator and denominator?
A fraction has a numerator and a denominator.
What is the horizontal asymptote of f x equals x squared minus 9 divided by x squared minus 4?
y = 1. When the degree of your numerator is the same with the degree of your denominator, then y = the ratio of the leading coefficients of the numerator and denominator is the horizontal asymptote.
How do you find a horizontal asymptote?
To Find Horizontal Asymptotes: 1) Put equation or function in standard form. 2) Remove everything except the biggest exponents of x found in the numerator and denominator. then set this number to y= and this is the horizontal asymptote Here is an example: f(x) = (2x^2 + 5x - 3)/(x^2 - 2x) We get rid of everything except the biggest exponents of x found in the numerator and denominator. After we do that, the above function becomes: f(x) = 2x^2/x^2. Cancel x^2 in the numerator and denominator and we are left with 2. The horizontal asymptote for is the horizontal line y=2.
How do you find the horizontal asymptote in a graph of a rational function?
The horizontal asymptote is what happens when x really large. To start with get rid of all the variables except the ones with the biggest exponents. When x is really large, they are the only ones that will matter. If the remaining exponents are the same, then the ratio of those coefficients tell you where the horizontal asymptote is. For example if you have 2x3/3x3, then the ratio is 2/3 and the asymptote is f(x)=2/3 or y=2/3. If the exponent in the denominator is bigger, than y=0 is the horizontal asymptote. If the exponent in the numerator is bigger, than there is no horizontal asymptote.
What is the equation of the asymptote of the graph of?
To determine the equation of the asymptote of a graph, you typically need to analyze the function's behavior as it approaches certain values (often infinity) or points of discontinuity. For rational functions, vertical asymptotes occur where the denominator equals zero, while horizontal asymptotes can be found by comparing the degrees of the numerator and denominator. If you provide a specific function, I can give you its asymptote equations.
How do you find an oblique asymptotes?
An oblique asymptote is another way of saying "slant asymptote."When the degree of the numerator is one greater than the denominator, an equation has a slant asymptote. You divide the numerator by the denominator, and get a value. Sometimes, the division pops out a remainder, but ignore that, and take the answer minus the remainder. Make your "adapted answer" equal to yand that is your asymptote equation. To graph the equation, plug values.
True or False if a rational function Rx has exactly one vertical asymptote then the function 3Rx should have the exact same asymptote?
It will have the same asymptote. One can derive a vertical asymptote from the denominator of a function. There is an asymptote at a value of x where the denominator equals 0. Therefore the 3 would go in the numerator when distributed and would have no effect as to where the vertical asymptote lies. So that would be true.
How do you solve asymptote?
To solve for asymptotes of a function, you typically look for vertical, horizontal, and oblique asymptotes. Vertical asymptotes occur where the function approaches infinity, typically at values where the denominator of a rational function is zero but the numerator is not. Horizontal asymptotes are determined by analyzing the behavior of the function as it approaches infinity; for rational functions, this involves comparing the degrees of the polynomial in the numerator and denominator. Oblique asymptotes occur when the degree of the numerator is one higher than that of the denominator, and can be found using polynomial long division.
How would you write 19 over 100?
The answer is 19/100. 19 is the numerator and 100 is the denominator. You would write the numerator over the denominator, separating them with a horizontal line in the middle.
Is it true that the function has a vertical asymptote at every x value where its numerator is zero and you can make a table for each vertical asymptote to find out what happens to the function there?
Every function has a vertical asymptote at every values that don't belong to the domain of the function. After you find those values you have to study the value of the limit in that point and if the result is infinite, then you have an vertical asymptote in that value
Has a numerator and denominator?
A fraction has a numerator and a denominator.
What do you divide first numerator or denominator?
you switch the numerator with the denominator then multiply the numerator first then the denominator.
What is the answer with the same numerator and the same denominator?
The same numerator as which numerator and the same denominator as which denominator?
