basic reciprocal graphs facts
Maths and statistics discussion, revision, exam and homework help.
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basic reciprocal graphs factsHey, 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
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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
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Re: basic reciprocal graphs factsThey 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. -
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Re: basic reciprocal graphs factsAn asymptote is a line that the graph approaches as x or y tends to infinity(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
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
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