Given , perform the tasks below: (i) Simplify wherever it is defined. (ii) State the…

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

Problem

Given

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

, perform the tasks below: (i) Simplify

p(x)

wherever it is defined. (ii) State the coordinates of the point removed from the graph of

p

. (iii) Write the range of

p

, indicating any

y

-value that is excluded.