Question cc781

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}

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}#

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