2. What value of x is not included in the domain of the function y =
1
? Why?
x +12
a.
x = 12 is not in the domain; if x = 12, the corresponding y-value would be 0, and there is
a horizontal asymptote at y = 0.
b. x = 0 is not in the domain; if x = 0, the fraction in the function would have a 0 in the
denominator.
x = -12 is not in the domain; if x = -12, the fraction in the function would have a 0 in
the denominator.
d. x=-11 is not in the domain; if x =-11, the corresponding y-value would be 1, and there
is a horizontal asymptote at y = 1.
c.