A rational function is discontinuous at those real numbers where

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

Problem

A rational function

f(x)=\dfrac{p(x)}{q(x)}

is discontinuous at those real numbers where (a)

p(x)=0

(b)

p(x)=0\;\text{and}\;q(x)=0

(c)

q(x)=0

(d)

p(x)\neq 0\;\text{and}\;q(x)=0