How to find the limits of a piecewise function by graphing first

The video tutorial explains how to graph functions and understand restrictions. It covers the concept of left and right hand limits, demonstrating how to evaluate them using graphs. The tutorial also discusses when a general limit does not exist. Finally, it introduces a similar problem involving absolute values and exponentials.

What is the significance of understanding the restrictions when graphing a function?

How do you determine the Y value that a function approaches from the left as X approaches -1?

Explain the process of finding the right-hand limit of a function as X approaches -1.

What conclusion can be drawn if the left-hand limit and right-hand limit of a function do not approach the same number?

In the context of the discussed problem, how does the presence of an absolute value and an exponential function affect the limits?