Back To Your Roots
This assignment covered many aspects of my mathematical skills. These problems were things such as even odd multiplicities, mixed cases, and the fundamental theorem of algebra. This packet required a lot of calculator work and understanding how to get things from the calculator you want. You have to put in the right information for the calculator to help you.
Academic Skills Utilized
- Know and use a definition of a function to decide if a given relation is a function.
- Write an expression for the composition of one given function with another and find domain, range and graph of the composite function. Recognize components when a function is composed of two or more elementary functions.
- Solve equations and inequalities involving rational functions. Graph rational functions given factored form using zeros, identifying asymptotes, analyzing their behavior for large x values and testing intervals.
- Given vertical and horizontal asymptotes, find an expression for a rational function with these functions.
- Given a polynomial function whose roots are known or can be calculated, find the intervals on which the function’s value are positive and those where it is negative
- Solve polynomial equations and inequalities of degree greater than or equal to three. Graph the polynomial functions given in factored form using zeros and their multiplicities, testing the sign-on intervals and analyzing the function’s large-scale behavior.
- Know and apply fundamental facts about polynomials: the remainder theorem, the factor theorem, and the fundamental theorem of algebra.
Conclusion
At the end of the day I learned a lot about roots and complex algebra. I believe I can know find the real zeroes of an equation if asked too. I was able to grasp the complicated process of going through this back to your roots packet. I know this has helped me with my calculator skills as well.
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