1. Functions Domain and range The domain of a function f(x) is the set of all possible x values. (the input values) The range of a function f(x) is the set of all possible f(x) values. (the output values)

2. Functions Notation and evaluating If f(x) = 3x + 5, to find f(2), substitute 2 in for x f(2) = 3(2) + 5 = 11 f(a) = 3(a) + 5 f(joebob) = 3(joebob) + 5

3. Functions Notation and evaluating Note:

4. Functions Composition of functions To find f[g(x)], substitute g(x) for x in the f(x) equation Inverse of a function The inverse of a function is denoted as The inverse of a function f(x) “undoes” what f(x) does. (this means that and )

5. Functions The domain of the range of The range of the domain of (this means that the x and y values are reversed on the graphs of a function and its inverse.) Inverse of a function