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.
(50 points) drag each description to the correct location on the table. each description can be used more than once. some systems of equations and their graphs are given in the table. for each system, place the description(s) in the box that correctly describe the type of system shown. :