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At the end of this course, students should be able to apply functions and equations to an contextual situation and mathematically model it to make appropriate inferences and conclusions based on their knowledge of different mathematical representations.
The course starts by providing a general overview of different families of functions so students can identify the key features that distinguish different families of functions in a variety of representations and then determine in which situations a given family is best for modeling. Each subsequent unit gives students opportunity to develop more depth of knowledge with a thorough understanding of how to use each function family including transformations, finding roots, understanding the effects of restricting domain, range and number sets, inverses, solving for key features including maxima and minima, roots, intercepts and end behavior and how to apply these tools to real life and abstract situations. This course culminates by allowing students to build on this knowledge and have further opportunity for real life application in probability and prediction and statistics and inference from data.