Solution to Draw graphs of the following functions. (a) f: R—>R defined by f(x) = x (b) … - Sikademy
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Archangel Macsika

Draw graphs of the following functions. (a) f: R—>R defined by f(x) = x (b) f: R—>R defined by f(x) = |x| (c) f: R—>R defined by f(x) = x + 1 (d) f: R—>R defined by f(x) = – 3x+4 (e) f: R—>R defined by f(x) = Floor(x) (f) f: R—>R defined by f(x) = Ceiling(x) (g) f: R—>R defined by f(x) = x2 (h) f: R—>R defined by f(x) = x3

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(a) f:R\rightarrow R defined by f(x) = x





(b) f:R\rightarrow R defined by f(x) = |x|





(c) f:R\rightarrow R defined by f(x) = x+1





(d) f:R\rightarrow R defined by f(x) = -3x+4




(e) f:R\rightarrow R defined by f(x) = Floor(x)


The floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted Floor(x) or \lfloor x \rfloor.




(f) f:R\rightarrow R defined by f(x) = Ceiling(x)


 The ceiling function is the function that takes as input a real number x, and gives as output the least integer greater than or equal to x, denoted Ceiling(x) or \lceil x\rceil.




(g) f:R\rightarrow R defined by f(x) = x^2





(h) f:R\rightarrow R defined by f(x) = x^3



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Question ID: mtid-5-stid-8-sqid-2872-qpid-1491