MATH 241 Lecture 1: Linear Functions
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*the only requirement of this rule is that each input yields exactly one output. A function is a pairing of some set of inputs and another set of outputs, along with a rule* that determines how pairing happens. Pairs can be written (t,q), where t is the input and q is the output paired with t. For a function named f, we write f(input) = output. 2x + by = c (cid:1877)=(cid:3030) (cid:2870)(cid:3029) x. The set of inputs in a function is called the domain and the set of outputs is the image (or range). The result of of evaluating function for an input not in its domain is that the function is said to be undefined at that value. F(x) = (cid:2869)(cid:2868) domain is all # of y with x 1 [1, ) Domain is all real # except when x < 0 or x > 0 f(x) = (cid:2869) (- ,0(cid:4667) (cid:4666)0, (cid:4667)