How to determine multiple characteristics of the graph of a polynomial

What do real zeros of a polynomial graph represent?

• The turning points

• The y-intercepts

• The degree of the polynomial

• The x-intercepts

How can you determine the multiplicity of a zero?

• By checking if the graph bounces or crosses at the zero

• By counting the number of x-intercepts

• By looking at the y-intercepts

• By finding the degree of the polynomial

What is the first step in writing a polynomial in factored form?

• Determine the leading coefficient

• Find the degree of the polynomial

• Set zeros equal to x

• Multiply all the factors

How can you verify the degree of a polynomial?

• By checking the y-intercepts

• By finding the leading coefficient

• By counting the number of turning points and adding one

• By counting the number of x-intercepts

What does a positive leading coefficient indicate about the graph's end behavior?

• The graph falls left and rises right

• The graph falls on both ends

• The graph rises left and falls right

• The graph rises on both ends

What is the absolute maximum of a polynomial graph?

• The highest y-value on the graph

• The highest x-value on the graph

• The lowest y-value on the graph

• The lowest x-value on the graph

What is a relative minimum in a polynomial graph?

• A high point within a certain range

• The highest point on the entire graph

• The lowest point on the entire graph

• A low point within a certain range