Does a function have to be continuous to be differentiable

The step function g(x) is defined as shown.what is the range of g(x)? ***answer choices in picture.

Draw a tape diagram to represent each situation.for some of the situations,you need to decide what to represent with a variable andre bakes 9 pans of brownies.he donates 7 pans to the school bake sale and keeps the rest to divide equally among his class of 30 students

What are the solutions of the system? solve by graphing. y = -x^2 -6x - 7 y = 2