The video tutorial explains how to determine the end behavior of polynomial functions using the leading coefficient test and graph analysis. It covers how to estimate the zeros of a polynomial and determine whether the polynomial is of even or odd degree based on the number of zeros. The tutorial emphasizes understanding the graph's behavior as x approaches positive and negative infinity.

What is the first step in determining the end behavior of a polynomial?

• Identifying the x-intercepts

• Using the leading coefficient test

• Calculating the derivative

• Finding the y-intercepts

What does the leading coefficient test help you determine?

• The degree of the polynomial

• The y-intercepts

• The number of zeros

• The end behavior of the polynomial

As x approaches positive infinity, what happens to the f(x) values in the given example?

• They approach positive infinity

• They approach zero

• They remain constant

• They approach negative infinity

Tags

CCSS.HSF-IF.C.7E

What is the end behavior of the polynomial as x approaches negative infinity?

• f(x) approaches positive infinity

• f(x) remains constant

• f(x) approaches zero

• f(x) approaches negative infinity

How many zeros does the polynomial have in the given example?

• Two

• None

• Three

• One

What are the zeros of a polynomial also known as?

• Asymptotes

• Turning points

• Y-intercepts

• X-intercepts

Tags

CCSS.HSF-IF.C.7C

If a polynomial has two zeros, what can be inferred about its degree?

• It is a linear polynomial

• It has no degree

• It is an even degree polynomial

• It is an odd degree polynomial

Tags

CCSS.HSF-IF.C.7C

What is true about the number of zeros in an even degree polynomial?

• It always has exactly one zero

• It has no zeros

• It always has an odd number of zeros

• It always has an even number of zeros or none

What is the end behavior of the polynomial as x approaches positive infinity?

• f(x) remains constant

• f(x) approaches negative infinity

• f(x) approaches zero

• f(x) approaches positive infinity

What is the end behavior of the polynomial as x approaches negative infinity?

• f(x) approaches zero

• f(x) approaches negative infinity

• f(x) remains constant

• f(x) approaches positive infinity