Find the range of F(x) = | x - 3 |
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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
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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