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The domain and range of f(x) = 2 – |x – 5| are (A) R+, (-∞, 1] (B) R, (-∞, 2] (C) R, (-∞, 2) (D) R+, (-∞, 2]

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The domain and range of f(x) = 2 – |x – 5| are

(A) R+, (-∞, 1]

(B) R, (-∞, 2]

(C) R, (-∞, 2)

(D) R+, (-∞, 2]

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(B) R, (-∞, 2]

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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