Question

Identify each function as a constant, direct variation, absolute value, or greatest integer function.

Answer 1

None of those describe this function.

It's not a constant function, because it is not equal to a constant (something that isn't a variable)

It doesn't show direct variation, because it can't be represented in the form
y = kx.

It isn't an absolute value function because the absolute value isn't taken anywhere.
If it was an absolute value function it would look something like this:
$g(x) = |x+3|$

It isn't a greatest integer function, because the greatest integer isn't taken anywhere.
If it was a greatest integer function it would look something like this:
$g(x) = \left \lfloor{x + 3}\right \rfloor$

Are you sure you typed that question right?