If a point with lies on the curve

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

If a point

(a,b)

with

a\ne0

lies on the curve

y=\dfrac{1}{x}

, which of the following points must also lie on the same curve? (a)

(b,-a)

(b)

(a,-b)

(c)

(-a,-b)

(d)

(-a,b)