MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
Let
h(x)=x3−4x2−5x+20x2+3x−18.
(a) Factor the numerator and denominator completely over the real numbers.
(b) Identify each real number at which h is not defined and classify each as producing either a removable or a non-removable discontinuity. Justify your classifications.
(c) Determine all interval(s) on which h is continuous, writing your answer in interval notation.