Question

Draw the graph of a function with the following properties:
1. Domain is (-1,2).
2. f(0) = 2
3. lim(x->0 -) f(x) = -1
4. lim(x->0 +) f(x) = 1

*I am really just having trouble with graphing it from the domain.

Answer 1

not sure what the solution is but I can help you read the requirement
Domain is (-1, 2) means you are only using the x values from -1 to 2 since they are in ( ), then that means open points at those values since they are not included
f(0)=2 draw function through point (0,2)
the limit as x approaches 0 from the left is -1
the limit as x approches 0 from the right is 1
this means that the limit of x does not exist since those values are not the same.

Answer 2

I would draw a piecewise function