(a) Note : y is not defined for x = 0, due to division by 0

Hence, x = 0 is not in the domain

(b) determine the values in the table

x -4 -3 -2 -1 1 2 3 4
y 3/4 2/3 1/2 0 2 3/2 4/3 5/4

math expression

(c) Check what happens between x = -1 and x = 1:

when x = math expression , y = -1

when x = math expression , y = 3

(d) As x gets closer to 0, the points get closer to the y-axis, although they do not touch it. The y-axis is called an asymptote of the curve.