MA 141 Study Guide - Final Guide: Logarithm, Quadratic Formula, The Roots

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Def: a function is a "rule" f that assigns each element x of a set d (called the domain) to one and only one element f (x) in a set r (called the range). We call f (x) the value of the function f at x. Vertical line test: value, then the graph is not a function. if a vertical line can cross the graph in more than one spot for any x y = f (x) = x2. Think of a function as a black box - it accepts input values x from the domain d and computes output values f (x) from the range r. Ex: find the domain of f (x) = and g(x) = x + 2. The domain of a function is the set of values that result in a real-number output. Since f is unde ned when x = 0 (we cannot divide by 0), the domain of f is r \ {0}.

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