Understanding Extrema in Polynomial Functions

What is the domain of a polynomial function?

• All integers

• All negative numbers

• All positive numbers

• All real numbers

What are the high and low points on a graph of a polynomial function called?

• Asymptotes

• Intercepts

• Extrema

• Vertices

What is a local minimum?

• The lowest point on the entire graph

• The highest point on the entire graph

• The lowest point in a specific region of the graph

• The highest point in a specific region of the graph

What does an absolute maximum represent on a graph?

• The lowest point on the entire graph

• The lowest point in a specific region

• The highest point on the entire graph

• The highest point in a specific region

What does a graph with no absolute extrema indicate?

• The graph extends infinitely in both directions

• The graph has no turning points

• The graph has only one turning point

• The graph is a straight line

What is the value of a function in terms of ordered pairs?

• The difference between x and y coordinates

• The y-coordinate

• The x-coordinate

• The sum of x and y coordinates

What is another term for local extrema?

• Absolute extrema

• Global extrema

• Critical points

• Relative extrema

What is the significance of the y-coordinate in determining the value of a function?

• It represents the function's output value

• It indicates the function's domain

• It shows the function's range

• It determines the slope of the function

How is the maximum number of local extrema related to the degree of a polynomial?

• It is equal to the degree

• It is one less than the degree

• It is twice the degree

• It is two less than the degree

If a polynomial graph has six turning points, what is the least possible degree of the polynomial?

• Five

• Six

• Seven

• Eight