Learn how to find the end behavior given a graph of a polynomial

The video tutorial discusses the end behavior of polynomials, focusing on how to determine the degree and leading coefficient. It explains that polynomials with an odd degree and a positive leading coefficient will have a consistent end behavior of falling left and rising right. The tutorial also covers how to relate turning points to the degree of a polynomial, emphasizing that the number of turning points is one less than the degree. The key takeaway is that regardless of the complexity of the graph, the end behavior remains predictable for polynomials with these characteristics.

What is the end behavior of a polynomial with an odd degree and a positive leading coefficient?

• Falls left, falls right

• Rises left, rises right

• Falls left, rises right

• Rises left, falls right

If a polynomial has four turning points, what is its degree?

• Six

• Four

• Three

• Five

How do you determine the degree of a polynomial from its turning points?

• Subtract one from the number of turning points

• Divide the number of turning points by two

• Add one to the number of turning points

• Multiply the number of turning points by two

What remains consistent for polynomials with an odd degree and a positive leading coefficient, regardless of the graph's complexity?

• The number of turning points

• The end behavior

• The y-intercepts

• The x-intercepts

Which of the following is true about the end behavior of a polynomial with a positive leading coefficient and an odd degree?

• It falls left and rises right

• It rises left and falls right

• It rises left and rises right

• It falls left and falls right