Exploring End Behavior of Polynomials

The video tutorial explains the concept of end behavior in polynomial functions. It introduces polynomials as functions and describes how to analyze their end behavior using the y-axis. Several examples are provided to illustrate different end behaviors, such as upward and downward trends. The tutorial concludes with practice exercises to reinforce understanding.

What is a polynomial function?

• A function that only has positive values

• A function that is always linear

• A function that involves exponents and coefficients

• A function with only one variable

What does 'end behavior' of a polynomial describe?

• The behavior of the function at the ends of the graph

• The behavior of the function at the origin

• The minimum value of the function

• The maximum value of the function

In the first example, what is the end behavior on the left side?

• Undefined

• Constant

• Down

• Up

In the second example, what is the end behavior on both sides?

• Up on the left, down on the right

• Down on the left, up on the right

• Up on both sides

• Down on both sides

In the third example, what is the end behavior on the left side?

• Down

• Undefined

• Up

• Constant

In the third example, what is the end behavior on the right side?

• Up

• Down

• Constant

• Undefined

In the fourth example, what is the end behavior on both sides?

• Down on both sides

• Up on both sides

• Down on the left, up on the right

• Up on the left, down on the right

In the practice problem, what is the end behavior on the left side?

• Up

• Down

• Undefined

• Constant

In the practice problem, what is the end behavior on the right side?

• Undefined

• Up

• Down

• Constant

In the final example, what is the end behavior on the right side?

• Undefined

• Up

• Down

• Constant