teaching graphs of polynomial functions

Download Teaching Graphs of Polynomial Functions

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y =

MOTIVATIONGROUP 2GROUP 1

What to do?Factor the following expressions!

GROUP 1

GROUP 2

4

Graphs of Polynomial Functions(with real roots and no multiplicity)

YOUR ACTIVITY!Graph of the following functions using Geogebra.1. y = 2x3 7x2 7x + 122. y = x5 + 5x3 4x 3. y = x4 7x2 + 6x4. y = x4 + 2x3 + 13x2 14x 24

Is the leading coefficient a positive or a negative number?

Is the polynomial of even degree or odd degree?

Positive Leading CoefficientOdd Degree

How many turning points do the graph has?Observe the end behaviors of the graph on both sides. Is it rising or falling to the left or to the right?

Two(2) turning pointsThe graph is falling to the left and rising to the right.

Is the leading coefficient a positive or a negative number?

Is the polynomial of even degree or odd degree?

Negative Leading CoefficientOdd Degree

How many turning points do the graph has?Observe the end behaviors of the graph on both sides. Is it rising or falling to the left or to the right?Four(4) turning pointsThe graph is rising to the left and falling to the right

Is the leading coefficient a positive or a negative number?

Is the polynomial of even degree or odd degree?

Positive Leading CoefficientEven Degree

How many turning points do the graph has?Observe the end behaviors of the graph on both sides. Is it rising or falling to the left or to the right?Three(3) turning pointsThe graph is rising to the left and to the right

Is the leading coefficient a positive or a negative number?

Is the polynomial of even degree or odd degree?

Negative Leading CoefficientEven Degree

How many turning points do the graph has?Observe the end behaviors of the graph on both sides. Is it rising or falling to the left or to the right?Three(3) turning pointsThe graph is falling to the left and to the right

THANK YOU!FRANZ BROQUEZADEMO TEACHER

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