Polynomial functions
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Polynomial Functions PowerPoint PPT Presentation


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Polynomial Functions. PPT 2.3.1. Polynomial Functions. The largest exponent within the polynomial determines the degree of the polynomial. Explore Polynomials. Linear Function. Quadratic Function. Cubic Function. Quartic Function. Leading Coefficient.

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Polynomial Functions

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Polynomial functions

Polynomial Functions

PPT 2.3.1


Polynomial functions1

Polynomial Functions

The largest exponent within the polynomial determines the degree of the polynomial.


Explore polynomials

Explore Polynomials

Linear Function

Quadratic Function

Cubic Function

Quartic Function


Leading coefficient

Leading Coefficient

The leading coefficient is the coefficient of the first term in a polynomial when the terms are written in descending order by degrees.

For example, the quartic function

f(x) = -2x4 + x3 – 5x2 – 10 has a leading coefficient of -2.


Cubic polynomials

Graph A

Graph B

Cubic Polynomials

Look at the two graphs and discuss the questions given below.

1. How can you check to see if both graphs are functions?

  • 2. How many x-intercepts do graphs A & B have?

3. What is the end behaviour for each graph?

4. Which graph do you think has a positive leading coeffient? Why?

5. Which graph do you think has a negative leading coefficient? Why?


Cubic polynomials1

Cubic Polynomials

The following chart shows the properties of the graphs on the left.


Cubic polynomials2

Cubic Polynomials

The following chart shows the properties of the graphs on the left.


Cubic polynomials3

Cubic Polynomials

The following chart shows the properties of the graphs on the left.


Quartic polynomials

Graph A

Graph B

Quartic Polynomials

Look at the two graphs and discuss the questions given below.

1. How can you check to see if both graphs are functions?

  • 2. How many x-intercepts do graphs A & B have?

3. What is the end behaviour for each graph?

4. Which graph do you think has a positive leading coeffient? Why?

5. Which graph do you think has a negative leading coefficient? Why?


Quartic polynomials1

Quartic Polynomials

The following chart shows the properties of the graphs on the left.


Quartic polynomials2

Quartic Polynomials

The following chart shows the properties of the graphs on the left.


Quartic polynomials3

Quartic Polynomials

The following chart shows the properties of the graphs on the left.


Quartic polynomials4

Quartic Polynomials

The following chart shows the properties of the graphs on the left.


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