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 a graph when you subtract 3 from the variable x?

• It shifts 3 units up.

• It shifts 3 units to the left.

• It shifts 3 units to the right.

• It shifts 3 units down.

When the sine function is shifted by adding 2 to x, what happens to the graph?

• It shifts 2 units up.

• It shifts 2 units to the right.

• It shifts 2 units down.

• It shifts 2 units to the left.

As the sine function approaches -2 from the right, what value does it get close to?

• 2

• 1

• 0

• -1

What is the effect of adding 4 to the variable x in the reciprocal function 1/x?

• The graph shifts 4 units to the right.

• The graph shifts 4 units to the left.

• The graph shifts 4 units up.

• The graph shifts 4 units down.

What happens to the limit of a radical function as it approaches 1 from the left?

• The limit is infinity.

• The limit is 0.

• The limit is 1.

• The limit is undefined.