Finding the end behavior when given an equation

The video tutorial explains how to identify the degree of a polynomial and its leading coefficient. It discusses how these factors influence the behavior of the graph, particularly as X approaches positive and negative infinity. The tutorial also covers how to sketch the graph and interpret its direction based on the degree and leading coefficient.

What is the degree of a polynomial if it is arranged in descending order and the highest power is 5?

• 5

• 6

• 4

• 3

If a polynomial has a negative leading coefficient and an odd degree, what can be said about its graph as x approaches positive infinity?

• The graph rises

• The graph falls

• The graph remains constant

• The graph oscillates

As x approaches negative infinity, what happens to the graph of a polynomial with a positive leading coefficient and an even degree?

• The graph rises

• The graph falls

• The graph remains constant

• The graph oscillates

What should you write down for every polynomial problem to determine the graph's behavior at infinity?

• The polynomial's roots

• The polynomial's derivative

• The polynomial's degree and leading coefficient

• The polynomial's constant term

How can you determine if a polynomial graph goes up or down as x approaches infinity?

• By checking the degree and leading coefficient

• By finding the roots

• By looking at the constant term

• By calculating the derivative