ITM 107 Lecture Notes - Lecture 2: Function Composition, Abscissa And Ordinate
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If x is an element in the domain of a function f, then the element in b that f associates with x is written f (x(cid:895) (cid:894)read (cid:862)f of x(cid:863)(cid:895) and is called the value of f at x. Other ways to think about functions: we can think of a function f as a machine. Examples: let the function f be defined by the rule f (x) = 2x 2 x + 1. Lecture 2 functions: find, a. f (1) b. f ( 2) c. f (a + h, solution, f (1) = 2(1) 2 (1) + 1. = 11: f (a + h) = 2 (a + h) 2 (a + h) + 1. = 2a 2 + 4ah + 2h 2 a h + 1. Similarly, any point has a unique ordered pair that describes it: the values a and b in the ordered pair associated with the point p are called the.