Back to Graph rational functions — Problem 2 · Task Set 19

HSF.IF.C.7.d Tutor Intake — Rational Function Key Features

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Grade 9·10 problems·~12 min·Common Core Math - HS Functions·standard·hsf-if-c-7d

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Concepts

Which rule correctly determines the horizontal asymptote of a rational
function $\dfrac{p(x)}{q(x)}$ when $\deg(p) = \deg(q)$ ?

The horizontal asymptote is $y = 0$ .

The horizontal asymptote is $y = \dfrac{\text{leading coefficient of } p}{\text{leading coefficient of } q}$ .

There is no horizontal asymptote.

The horizontal asymptote is $y = 1$ .