Asked by Maddie
Explain why the graph of g(x) = 1/x has a horizontal asymptote. What is the equation of this asymptote? Will all reciprocal functions have the same horizontal asymptote?
Answers
Answered by
Steve
the larger the divisor, the smaller the quotient. So, as x gets incredibly large, 1/x gets incredibly small.
So, as x gets infinitely large, 1/x gets infinitely small, or zero.
So, yes, all reciprocal functions have y=0 as their horizontal asymptote. (depending on just what you mean by a reciprocal function)
So, as x gets infinitely large, 1/x gets infinitely small, or zero.
So, yes, all reciprocal functions have y=0 as their horizontal asymptote. (depending on just what you mean by a reciprocal function)
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