This math unit starts with understanding the basics of function composition, focusing on identifying the input, output, inner, outer, first, and second functions in various composite configurations. Skills progress to calculating the outputs of these compositions, reinforcing comprehension through practical application. The unit then advances to evaluating the domains of these compositions, particularly when involving root, linear, rational, or quadratic functions, underscoring the importance of determining the set of input values that make the function compositions well-defined and meaningful. The culmination of the unit involves mastering the concept of function inverses, both for straightforward functions and more complex exponential and logarithmic forms. Students learn to discern whether pairs of functions are inverses and calculate the inverse of given functions to deepen their understanding of functional relationships, preparing them for more advanced studies in function operations and algebra.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.