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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.
What is the horizontal asymptote of 5 divided by the quantity of x minus 6?
-1
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.
Does every rational function has at least one horizontal asymptote?
Nope not all the rational functions have a horizontal asymptote
What is the horizontal asymptote of 4X divided by X squared plus 4?
8
What did the derivative near the horizontal asymptote shout to the derivative near the vertical asymptote?
I don't know, what?
When is the horizontal asymptote y equals 0?
The horizontal asymptote for y = 0 when the degree is greater than the denominator, resulting in the inability to do long division.
The horizontal asymptote for exponential function is?
The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.
A feature that is common to all exponential functions of the form Fx equals bx is that they have a common horizontal asymptote at the -axis?
asymptote
What is the horizontal asymptote of y equals x divided by x2 plus 2x plus 1?
y = x / (x^2 + 2x + 1) The horizontal asymptote is y = 0
Can a value of X cross a horizontal asymptote of a rational function sometimes?
Yes.
What is the horizontal asymptote of y equals 2 to the power of x?
It is y = 0
How do you find the horizontal asymptote of a trig function?
The only trig functions i can think of with horizontal assymptotes are the inverse trig functions. and they go assymptotic for everytime the non-inverse function is equal to zero.
