* Reading Outline, Sec1.3 * ---------------------------------------- * Vocabulary/Definitions * - The relationship of the graph of c f(x) to that of f(x) (c>0 and c<0) - The relationship of the graph of f(x-h) to that of f(x) - The relationship of the graph of y-k to that of y - How to determine the inner- and outer- functions in a composition - Even and odd functions - The meaning of f^{-1} - When a function has an inverse - The definition of f^{-1} - The graph of f^{-1} * Understand * 1. If z(x) = \sqrt{15x - 7} is written as z(x) = f(g(x)), what are f(x) and g(x)? 2. Consider the function f(x) = 4(x-1)^2 for x\ge 1. Find the inverse function f^{-1}(x). Sketch f(x) and f^{-1}(x).