Evaluate the limit for from the graph of a continuous function

The video tutorial covers the concept of limits in mathematics, focusing on end behavior and limit notation. It explains how to interpret graph behavior as X approaches infinity and discusses the application of limits at specific points on a graph. The tutorial uses examples to illustrate these concepts, helping students understand how to evaluate limits and the significance of limit notation in analyzing graph behavior.

What does the limit notation describe in terms of graph behavior?

• The exact value of the function at a point

• The slope of the tangent line to the graph

• The area under the curve

• The value the function approaches as x moves in a direction

As x approaches positive infinity, what happens to the function's value?

• It remains constant

• It approaches negative infinity

• It oscillates between two values

• It approaches positive infinity

What is the behavior of the function as x approaches negative infinity?

• The function value approaches zero

• The function value approaches positive infinity

• The function value remains constant

• The function value approaches negative infinity

When x is approaching 3 from the left, what is the function value approaching?

• Positive infinity

• Zero

• Negative two

• Three

What is the output of the function when the input is exactly 3?

• Three

• Zero

• Negative two

• Positive two