Understanding Polynomial Graphs and Functions

The video tutorial covers solving a polynomial problem, focusing on graph behavior, degree determination, domain and range, and identifying relative maxima and minima. It explains the end behavior of graphs, how to determine if a polynomial degree is odd or even, and how to find the smallest degree of a function using turning points. The tutorial also discusses the domain and range of continuous graphs and how to identify relative maxima and minima.

What is the end behavior of a polynomial function that falls to the left and rises to the right?

• Rises left, rises right

• Falls left, falls right

• Falls left, rises right

• Rises left, falls right

What is the end behavior of a polynomial function that rises to the left and falls to the right?

• Falls left, falls right

• Rises left, rises right

• Falls left, rises right

• Rises left, falls right

How can you determine if a polynomial is of odd degree?

• By checking the constant term

• By checking the leading coefficient

• By counting the number of zeros

• By counting the number of turning points

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

• It is an even degree polynomial

• It is an odd degree polynomial

• It is a linear polynomial

• It has no degree

What is the relationship between the degree of a polynomial and its turning points?

• Degree is twice the number of turning points

• Degree is one less than the number of turning points

• Degree is one more than the number of turning points

• Degree is equal to the number of turning points

If a polynomial has four turning points, what is the minimum degree of the polynomial?

• 6

• 5

• 4

• 3

What is the significance of a turning point in a polynomial graph?

• It indicates a zero of the polynomial

• It indicates a change in the direction of the graph

• It indicates the end of the graph

• It indicates the start of the graph

What is the minimum degree of a polynomial with five turning points?

• 5

• 4

• 7

• 6

How many turning points does a polynomial of degree 6 have at most?

• 7

• 6

• 8

• 5

If a polynomial has a degree of 7, how many turning points can it have at most?

• 6

• 8

• 7

• 9