1. Graph Polynomials Effect of Multiplicity on a graph

2. Multiplicity the graph curves as it crosses the x-axis.
Multiplicity of a root is
the number of times a root is a factor of a function.
When a real root is singular
the graph passes through the x-axis
When a real root has even multiplicity
the graph touches the x-axis but does NOT cross it.
When a real root has odd multiplicity (3 or higher)
the graph curves as it crosses the x-axis.
The graph flattens as it approaches the x-axis when the multiplicity is higher.

3. Multiplicity--Factor and solve the following polynomial
The root -3 has a
multiplicity of 2.
The graph
touches at (-3, 0).
The root 0 has a
multiplicity of 3
The graph
curves at (0, 0).

4. Example 2: State the zeros, approximate multiplicity, degree, leading coefficient, Domain, Range, End Behavior and Factors of the following graph.
even

5. Example 3: State the zeros, approximate multiplicity, degree, leading coefficient, Domain, Range, End Behavior and Factors of the following graph.
odd

6. Example 4 Find the roots for the function… X-2 IS A factor
X-1 is NOT a factor

8. Find the roots for the function…
Example 5
Find the roots for the function…
X-1 is NOT a factor

10. Find the roots for the function…
Example 6
Find the roots for the function…
GCF
Factors

12. Find the roots for the function…
Example 7
Find the roots for the function…
X+1 IS A factor
X-1 is NOT a factor

14. Example 5
Find the roots for the function…

15. Example 6
Find the roots for the function…