Evaluate the left and right hand limit of basic ap calculus examples

The video tutorial covers graph transformations, focusing on shifting graphs horizontally. It begins with an introduction to shifting graphs using the example of X-3, explaining how this affects the graph's position. The tutorial then explores the sine function, discussing its oscillation and how adding X+2 shifts it. Next, the reciprocal function 1/X is analyzed, highlighting its behavior as it approaches infinity and how adding 4 shifts it. Finally, the radical function is examined, with a focus on limits and the concept of undefined values.

What happens to the graph of a function when you shift it to the right by 3 units?

As you approach positive 3 from the left, what value does the function equal?

What effect does adding 2 to the function have on its graph?

What is the limit of the function as you approach negative 4 from the left?

What happens to the limit of the radical function as you approach positive 1 from the left?