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Unformatted text preview: 1-1 Functionsfunction - a rule of association between two sets(1stset is called the domainof the function, 2ndset is called the range) such that each member of the domain is associated with exactly onemember of the rangethe objects in the domain are called inputsor argumentsthe objects in the range are called outputsor valuesNotation: if function f associates the input10 with the output20, we write: f(10) = 20 (functional notation)and say "f of 10 equals 20"Four ways to define a functionI. Defining a function by algebraic formulaE. g.,square(of a number) function:square(2) = 4 square(2) =2 Defining squareusing functional notation and a formula: square(x) = x2 (whatevernumber x is, the squareof x is x2)Note: if f(x) = x2+ xf(a) = a2+ a, f(a + 1)= (a + 1)2+ a + 1, f(x + 1)= (x + 1)2+ (x + 1)The domain of a functionf(x) defined using a formula is the set of all inputsx for which f(x) is a real numberf(x) = x2Domain f = all real numbersf(x) = 11x-Domain f = all reals except x=1f(x) = x21-Domain f = (-oo,1] ∪[1,oo)1-1 p.1II. Defining a function by mapping diagram II....
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- Spring '11