1. Section 2.3: Polynomial Functions of Higher Degree with Modeling
Find f(g(x)) and g(f(x)) given
f(x) = 2x + 1 and g(x) = 1 + 3x
x x – 2
What does the composites tell you about f(x) and g(x)?

2. General Shape of Polynomial Functions

3. Standard vs. Factored Form
General Shape
Y-intercept
General Shape
X-intercept(s)
Standard vs. Factored Form

4. Multiplicities of Zeros
Multiplicity of 1
Multiplicity of 2
Multiplicity of 3
Multiplicities of Zeros

5. Identifying Degrees and Zeros

6. Solve.

7. Zeros: -6, 1, 9
Zeros:
Given the zeros, write an equation for each polynomial in standard form.

8. Mix-and-Match Activity
If you were given a card with zeros, write the equation for the polynomial in standard form.
If you were given a card with an equation of a polynomial, determine the zeros of the function.
NOW, find the person that you match up with.
Mix-and-Match Activity