MATH 1310 Lecture Notes - Lecture 1: Fahrenheit
13 Sep 2016
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Definiton: a function (f) is a rule that assigns to each input, (x) a number, exactly one output, denoted f(x). Function notation: f ( x ) = x^2. So, for example: f(3)= 3^2= 9, and this function relates the input 3 to the output 9. The set of all inputs of a function is called the domain of a function. The set of all possible outputs is called the range of the function. Definition: if f is a function with domain d, its graph is set of all ordered pairs. Example. x, f(x) x is in d (3, 9), (4, 16) . Graph of function is plot of all ordered pairs. Example: domain is the interval [0, 4) Range is the interval [ -1, 2: f(x) is increasing on the intervals (0, 1) and (3, 4) another way to write it is (0, 1)u(3, 4)
