Question

Question #cc781

Answer 1

(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.