Question

Sketch a graph that is discrete, has a maximum, does not pass through the origin, and is an absolute value function

Answer 1

Um.. I can't sketch a graph on here.
A discrete function can't be an absolute value function because an absolute value function is continuous. But, the function equation can be as simple as
f(x) = - | x + 1 |
Just don't connect the dots when you draw it and boom, you're done.