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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.
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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 A line that a graph approaches but does not reach It may be a vertical horizontal or slanted line?
It is an asymptote.
How do you find the horizontal asymptote of a logarithmic function where x equals 7.5 and y equals 50?
One point on a logarithmic graph is not sufficient to determine its parameters. It is, therefore, impossible to answer the question.
How do you find vertical asymptote?
One way to find a vertical asymptote is to take the inverse of the given function and evaluate its limit as x tends to infinity.
What is the asymptote of a circle?
A circle does not have an asymptote.
