End Behavior Turns or “Bumps” for each polynomial Investigate Roots
Leading CoefficientDegreeEnd Behaviors Positive Negative Positive Negative End BehaviorDegree Even Odd
Polynomial solutions are made up of complex roots A root is where the polynomial’s graph will intersect with the x-axis A complex root describes two different types of roots: › Real Roots › Imaginary Roots (we will get to these next week)
We classify the type of Real Root based on the degrees of each term and how it interacts with the x-axis. Types: › Single Root › Double Root › Triple Root › And so on…
What determines the number of turns the graph of a polynomial will have? › End Behavior › Degree of the Leading Term › Degrees of each factor, or the types of roots The maximum number of turns a polynomial can have is (n-1) where n is the degree of the leading term
On the worksheet from Thursday: › Describe the end behavior using the correct math notation › Circle each root on the graph. › Label each root as single, double or Triple.