MATH 111 Lecture Notes - Lecture 1: Piecewise, Dependent And Independent Variables
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Function: we write a function f(input) = output where input is called the domain and output is called the image. For being a function each input should exactly have one output. This is a function because all of the inputs have only one unique output. This is not a function because as defined in #1 one has the value of one and then defined again one has the value of two. Where t is independent variable and q is the dependent variable. # express the value square root t and divide by 5 as the function of t. # express the value subtract 3 and multiply by 4 . Domain: all the possible values of the input for which the function makes sense. We always want positive values inside a radical. If = and if = 3 find x. => = 3( + 1) => = 3 + 3 => -2 = 3 => = -