Evaluate the limit to infinity of a graph to determine end behavior

The video tutorial covers continuous functions, focusing on end behavior and the use of limit notation. It explains how to analyze graphs to understand the behavior of functions as they approach infinity. The tutorial emphasizes the importance of using limit notation in Algebra 2 and precalculus, providing examples to illustrate these concepts. The session concludes with a summary and a brief introduction to the next topic.

What is the primary focus when discussing the end behavior of a polynomial?

• The rise and fall pattern

• The leading coefficient

• The number of terms

• The degree of the polynomial

What does the limit notation help describe in a function?

• The exact value of the function

• The behavior of the function as x approaches a certain value

• The number of roots in the function

• The symmetry of the function

As x approaches infinity, what does the limit of F of X describe?

• The number of turning points

• The initial value of the function

• The value the function approaches

• The maximum value of the function

In the practical example, what happens to F of X as x continues to increase?

• It approaches infinity

• It remains constant

• It oscillates between positive and negative

• It approaches zero

How is the end behavior of a function expressed using limits?

• By stating the function's degree

• By using limit notation to describe the function's behavior as x approaches infinity

• By counting the number of roots

• By describing the function's symmetry