Question

consider a function f(x)=max{2-x,2+x,4} x belongs to R.plot the graph of the given function on number line​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given :

A Function  f(x)=max{2-x,2+x,4} , where x belongs to R

To Do : Plot the graph of the given function

Solution :

We can break the Domain of given function in intervals ( -∞ , -2) U ( -2 , 2 ) U

( 2 , ∞ ) .

For   x ∈ ( -∞ , -2)

y = 2-x is maximum

For   x ∈ ( -2 , 2)

y = 4 is maximum

For   x ∈ ( 2 , ∞ )

y = 2+x is maximum

Hence , Graph of f(x) is enclosed.