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# basic reciprocal graphs facts Tweet

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1. basic reciprocal graphs facts
Hey, I haven't looked at these for a while ...but this is what I can remember...is it right (looked at Google but still a bit confused so maybe you lot can help )

Reciprocal graphs ..produce asymptotes

...asymptotes...are lines that approach the x axis but never touch it

...so if the graph never touch the x axis does that mean asmptotes and reciproal graphs cannot have roots...but that doesn't sound right
2. Re: basic reciprocal graphs facts
They can have roots..but there is never a solution to y = 1/x when x = 0 since you can't divide by 0. If it touches the x axis this implies that y = 0.

Take y = 1/x. if this graph touched the x axis this would mean that there is a value of x such that 1/x = 0...obviously nonsensical.

but if you wanted, for example, the solution to x when y = 1/2 then you could quite easily find a root.
3. Re: basic reciprocal graphs facts
(Original post by CasualSoul)
Hey, I haven't looked at these for a while ...but this is what I can remember...is it right (looked at Google but still a bit confused so maybe you lot can help )

Reciprocal graphs ..produce asymptotes

...asymptotes...are lines that approach the x axis but never touch it

...so if the graph never touch the x axis does that mean asmptotes and reciproal graphs cannot have roots...but that doesn't sound right
An asymptote is a line that the graph approaches as x or y tends to infinity

The potential for roots depends on the numerator of the fraction ... for y to = 0 the numerator would have to = 0 ... if it cannot then there are no roots
4. Re: basic reciprocal graphs facts
Okay, thanks