STPM MATHEMATICS T SYLLABUS : Domain and Range

May 19th, 2015
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1.1 Functions • (a) state the domain and range of a function, and find composite functions;The domain of a function is all the possible input values, and the range is all possible output values. Domain: set of all possible input values (usually x)

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STPM MATHEMATICS TSYLLABUSChapter 1 Functions1.1 Functions(a) state the domain and range of a function, and find composite functions;The domain of afunctionis all the possible input values, and the range is all possible output values.Domain: set of all possible input values (usually x)Range:set of all possible output values (usually y)a) State the domain and range of the following relation{(3, 2), (5, 4), (1, 1), (2, 6)}The domain is all the x-values, and the range is all the y-values Domain: {3, 5, 1, 2} Range:{2, 4, -1, 6}a) State the domain and range of the following relation{(3, 5), (5, 5), (1, 5), (2, 5)} Domain:{3, 5, 1, 2} Range:{5}What is a Function?A function, f(x) relates an input to an output. Each input is related to exactly one output.This is a function.There is only one y for each xThis is a function.There is only one arrow coming from each x; there is only one y for each xThis is not a function. 5 is in the domain, but it has no range element that corresponds to itThis is not a function. 3 is associated with two different range elementsFunctions: Domain and RangeThe function composition of two functions takes the output of one function as the input of a second oneAninverse function for f, denoted by f-1, is a function in the opposite direction.- See more at: http://coolmathsolutions.blogspot.com/2013/02/what-is-function.html#sthash.t3Rri8gK.dpuf

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