LAC 28:CXLII.3509. Building Functions

A. Build a function that models a relationship between two quantities. 1. Write a function that describes a relationship between two quantities. a. Compose functions. B. Build new functions from existing functions. 1. Find inverse functions. a. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. b. Verify by composition that one function is the inverse of another. c. Read values of an inverse function from a graph or a table, given that the function has an inverse. d. Produce an invertible function from a non-invertible function by restricting the domain. 2. Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.