Turning Points in Polynomial Functions

This video tutorial by the Bearded Math Man covers the third lesson in polynomial functions, focusing on turning points. It explains how to determine if a polynomial graph is increasing or decreasing, relates these concepts to slope, and defines turning points. The video also discusses the maximum number of turning points a polynomial function can have based on its degree. Examples are provided to illustrate these concepts, and viewers are encouraged to visit the website for additional practice problems.

What is the main topic of the third lesson in polynomial functions?

• Factoring polynomial functions

• Roots of polynomial functions

• Turning points in polynomial functions

• Graphing polynomial functions

What is the slope of a line that rises 3 units for every 1.5 units it runs?

• 1

• 2

• 3

• 4

In a polynomial function, what does a positive slope indicate?

• The function has a turning point

• The function is decreasing

• The function is constant

• The function is increasing

What is the interval of a polynomial function where the graph is going down from left to right?

• Undefined interval

• Constant interval

• Decreasing interval

• Increasing interval

When reading a graph from left to right, what does it mean if the graph is going up?

• The function is decreasing

• The function is constant

• The function is increasing

• The function has a turning point

What is a turning point in a polynomial function?

• Where the graph is constant

• Where the graph intersects the y-axis

• Where the graph changes from increasing to decreasing or vice versa

• Where the graph intersects the x-axis

How many turning points can a polynomial function of degree 7 have at most?

• 6

• 5

• 7

• 8

If a polynomial function has a degree of 8, what is the maximum number of turning points it can have?

• 6

• 7

• 8

• 9

For a polynomial function with an odd degree, what can be said about the number of turning points?

• It will be zero

• It will be even

• It will be the same as the degree

• It will be odd

What is the relationship between the degree of a polynomial function and the maximum number of turning points?

• The maximum number of turning points is equal to the degree

• There is no relationship

• The maximum number of turning points is one more than the degree

• The maximum number of turning points is one less than the degree