Please explain.
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Take your root # and either keep dividing, or keep taking the square root. It is basically like an electric fence at one number. You can never touch it. Horizontal asymptotes are one sided, but you can cross vertical asymptotes.
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If you are talking about a math perspective (which I think you are) a "Asymptote" is a graph which approaches a line but never intersects or crosses.
There are Horizontal Asymptotes, Vertical and even Slanted/Oblique Asymptotes.
There are few but RARE occasions where the graph actually crosses the Asymptote but I'll not get into the advanced stuff to confuse you.
Giving mathematical examples is difficult because I can't properly structure equations via text alone however I will try and help you.
I can give you an example of a vertical asymptote. Let's say Y = 2 divided by (3x-1)
The Vertical Asymptote or VA for short is when the denominator (in this case 3x-1) equals zero.
So 3x-1 = 0 When X = 1/3. So therefore your VA. is at X= 1/3
To prove what I said is correct, plug in 2 divided by 3 (1/3) -1 in a calculator and you will get an error message. That is because anything divided by zero is infinite and in this case is a vertical asymptote.
Phew, hopefully you got my point through all of that jargon :)
There are Horizontal Asymptotes, Vertical and even Slanted/Oblique Asymptotes.
There are few but RARE occasions where the graph actually crosses the Asymptote but I'll not get into the advanced stuff to confuse you.
Giving mathematical examples is difficult because I can't properly structure equations via text alone however I will try and help you.
I can give you an example of a vertical asymptote. Let's say Y = 2 divided by (3x-1)
The Vertical Asymptote or VA for short is when the denominator (in this case 3x-1) equals zero.
So 3x-1 = 0 When X = 1/3. So therefore your VA. is at X= 1/3
To prove what I said is correct, plug in 2 divided by 3 (1/3) -1 in a calculator and you will get an error message. That is because anything divided by zero is infinite and in this case is a vertical asymptote.
Phew, hopefully you got my point through all of that jargon :)
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In analytic geometry, an asymptote ( /ˈæsɪmptoʊt/) of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity. Some sources include the requirement that the curve may not cross the line infinitely often, but this is unusual for modern authors.[1] In some contexts, such as algebraic geometry, an asymptote is defined as a line which is tangent to a curve at infinity.
Hope it helped!!
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Also check: http://www.freemathhelp.com/asymptotes.h…
Hope it helped!!
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Also check: http://www.freemathhelp.com/asymptotes.h…
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An asymptote is a line that an equation approaches but will never reach. It happens on exponential and log equations. It can be horizontal or vertical.
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It's a point on a graph that looks like the graphed line is going to touch, and gets really, really close sometimes, but never does.