Let for all real in its domain

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

Problem

Let

f(x)=\dfrac{(x-4)(x+1)}{(x-4)(x-2)}

for all real

x

in its domain. Which of the following best describes the behaviour of

f

x=4

? (a)

x=4

is in the domain and

f(4)=\dfrac{5}{2}

. (The function is defined there). (b)

x=4

is excluded from the domain and the graph has a hole at that

x

-value. (c)

x=4

is excluded from the domain and the graph has a vertical asymptote at that

x

-value." (d)

x=4

is excluded from the domain and the graph has a hole at

(4,0)