Math, asked by Anonymous, 1 year ago

Find the range of F(x) = | x - 3 |​

Answers

Answered by streetburner
15

Step-by-step explanation:

Range of the function f(x) = |x - 3| has to be determined. The range of the function is all values of f(x) for values of x that lie in the domain.

If f(x) = |x - 3| the value of f(x) is defined for all values of x. The domain of the function is the set of real numbers R. The value of f(x) = |x - 3| is never negative,. For value of x < 3, the function f(x) = 3 - x which is positive. The range of the function is therefore the set [0, oo) .

Answered by Anonymous
41

Answer:

⇒   [ 0 , ∞ ) .

Step-by-step explanation:

Given  ;

f ( x )  =  | x - 3 |​

We have to find range of  f ( x )  .

Let  ;

y =  | x - 3 |​

Since x can be any real number

i.e.   x + R    and

| x - 3 |​  ≥  0

So , range of f ( x )

⇒   [ 0 , ∞ ) .

Thus we get answer .

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