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Question
Find the range of the following functions given by f(x) = 1 – |x – 2|
Solution
For real value of f
|x – 2| ≥ 0
Adding negative sign, we get
Or –|x – 2| ≤ 0
Adding 1 we get
⇒ 1 – |x – 2| ≤ 1
Or f(x) ≤ 1
⇒ f(x) ∈ `(–oo, 1]`
Therefore, the range of f = `(–oo, 1]`
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