Power and Polynomial Functions College Algebra Power Function
Power and Polynomial Functions College Algebra
Power Function •
End Behavior of Power Functions •
End Behavior of Power Functions with Even Power • •
End Behavior of Power Functions with Odd Power • •
Identifying the End Behavior of a Power Function EXAMPLE: IDENTIFYING THE END BEHAVIOR OF A POWER FUNCTION.
Desmos Interactives Topic: end behavior of power functions (Even powers) - https: //www. desmos. com/calculator/rgdspbzldy (Odd powers) - https: //www. desmos. com/calculator/4 aeczmnp 1 w
Polynomial Function •
Terminology of Polynomial Functions • We often rearrange polynomials so that the powers are descending • When a polynomial is written in this way, we say that it is in general form
End Behavior of Polynomial Functions •
Identifying End Behavior and Degree of a Polynomial Function
Local Behavior of Polynomial Functions •
Principle of Zero Products •
Intercepts of a Polynomial Function •
Multiplicity •
Example: Identifying Zeros and Their Multiplicities
Graphing Polynomial Functions •
Example: Sketching the Graph of a Polynomial Function
Example: Sketching the Graph of a Polynomial Function
Intermediate Value Theorem •
Factored Form of Polynomials •
Local and Global Extrema •
Desmos Interactive Topic: zeros from a graph with slider = a to change y-intercept https: //www. desmos. com/calculator/5 oyyx 0 vbiv
Division Algorithm •
Synthetic Division •
The Remainder Theorem • 2 6 6 − 15 12 22 11 7 2 14 16 − 7 32 25
The Rational Zero Theorem •
The Factor Theorem •
Find Zeros of a Polynomial Function •
Fundamental Theorem of Algebra •
Complex Conjugate Theorem •
Descartes’ Rule of Signs •
Quick Review •
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