Give one example and express that function in all the ways possible.

Give one example and express that function in all the ways possible.

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  1. SOLUTION

    TO DETERMINE

    Give one example and express that function in all the ways possible.

    EVALUATION

    We first define function

    Let A and B are two non empty sets . Then a function f : A B is rule that assigns every element x of A to an definite element y of B

    In such cases we write y = f(x)

    We consider the function

    [tex]\displaystyle\sf{f(x) = |x + 2| }[/tex]

    Then the function can be rewritten as

    [tex]\sf f(x) = |x + 2| = \begin{cases} & \sf{ \: \: \: \: (x + 2) \: \: \: \: when \: x > – 2} \\ \\ & \sf{ – (x + 2) \: \: \: \: \: when \: x \leqslant – 2} \end{cases}\\ \\[/tex]

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