Question #cc781

1 Answer
May 18, 2017

(1) Domain: #x=2#; not a function
(2) Domain: #x=# all integers; not a function

Explanation:

First, lets graph the first relation
#{(x,y); |x|=2 " and " |y|<=2}#
Hand drawn by Andy-Y

Remember that #x# and #y# are only allowed to be integers. When you plot the points, the #x#-values are only allowed to be 2. The graph does not pass the vertical line test, so this is not a function. The domain is #x=2#.

Second, lets graph the second relation
#{(x,y);|xy|<=2}#
Hand drawn by Andy-Y

This also fails the vertical line test. So it is also not a function. The domain is all #x# values.