For the function

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

For the function

h(x)=\dfrac{x^{3}-4x^{2}+4x}{x^{2}-4}

, identify all real numbers at which

h

is discontinuous and classify each discontinuity as a hole or a vertical asymptote.