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Please confirm my understanding of asymptotes
- Thread starter fred2028
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D
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fred2028 said:OK so, from my dad's explanation, here's what I took in. x in this case is the domain while y is the range.
[/list]A function can touch/cross its horizontal asymptote as long as it ONLY approaches the asymptote as x approaches +/- infinity
A horizontal asymptote is a line that limits how the graph behaves as x approaches +/- infinity.
OK thanks. Other than that, is it correct?Subhotosh Khan said:fred2028 said:OK so, from my dad's explanation, here's what I took in. x in this case is the domain while y is the range.
[/list]A function can touch/cross its horizontal asymptote as long as it ONLY approaches the asymptote as x approaches +/- infinity
A horizontal asymptote is a line that limits how the graph behaves as x approaches +/- infinity.
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Deleted member 4993
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fred2028 said:OK thanks. Other than that, is it correct?Subhotosh Khan said:fred2028 said:OK so, from my dad's explanation, here's what I took in. x in this case is the domain while y is the range.
[/list]A function can touch/cross its horizontal asymptote as long as it ONLY approaches the asymptote as x approaches +/- infinity
A horizontal asymptote is a line that limits how the graph behaves as x approaches +/- infinity.
Yes
But remember
A function cannot intersect or touch vertical asymptote.
[/quote:11lfwy9v]Subhotosh Khan said:OK thanks. Other than that, is it correct?fred2028 said:[quote="Subhotosh Khan":11lfwy9v]fred2028 said:OK so, from my dad's explanation, here's what I took in. x in this case is the domain while y is the range.
[/list]A function can touch/cross its horizontal asymptote as long as it ONLY approaches the asymptote as x approaches +/- infinity
A horizontal asymptote is a line that limits how the graph behaves as x approaches +/- infinity.
Yes
But remember
A function cannot intersect or touch vertical asymptote.
It can't touch the vertical one as long as x is the domain right? Because if it does, the certain x values will have more than 1 y value, correct?
And thanks for the prompt replies, I really appreciate it =)