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Home  >>  AIMS  >>  Class11  >>  Math  >>  Relations and Functions
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Let R be the set of real numbers. Define the real function f: R $ \rightarrow $ R by f(x) = x + 10 and sketch the graph of this function.

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Here f(0) = 10, f(1) = 11, f(2) = 12, ..., f(10) = 20, etc., and f(–1) = 9, f(–2) = 8, ..., f(–10) = 0 and so on.
Therefore, shape of the graph of the given function assumes the form as shown.
The function f defined by f(x) = mx + c, x 4 \in $ R, is called linear function, where m and c are constants. Above function is an example of a linear function.
answered Jun 29, 2014 by thanvigandhi_1

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