ANTH 2 Lecture 3: Chapter 3 (S&S)
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Recall: a function f(x) is called linear if. Ex: what are degrees and the leading coefficients of the following polynomial functions: f (x) = x 3 5x 2 + 2x 1 g(u) = 3u7 5u 2 + . Note: by definition, n is a positive integer. Examples of functions that are not polynomial: f (x) = x b) g(x) = 9x + 2 x 2 1 c) k(x) = x n where n is any real number. Definition: a power function of degree n is of the form y = ax n where a is a real number, a 0, and n>0 id an integer. When n is a positive even the graph of a power function looks as below. When n is a positive odd integer, the graph of a power function looks as below. Ex: sketch the graph of f (x) = (x 2)2 + 1 by specifying x and y intercepts.
