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Question
Select the correct answer from given alternative.
The domain and range of f(x) = 2 − |x − 5| is
Options
R+, `(- ∞, 1]`
R, `(- ∞, 2]`
R, `(- ∞, 2)`
R+, `(- ∞, 2]`
Solution
R, `(- ∞, 2]`
Explanation;
f(x) = 2 − |x − 5|
= 2 – (5 – x), x < 5
= 2 – (x – 5), x ≥ 5
∴ f(x) = `{(x - 3"," x < 5),(7 - x"," x ≥ 5):}`
Domain = R,
Range (from graph) = `(- ∞, 2]`
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