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y-x-2-x-4-Find-min-y-and-max-y-

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Question Number 208646 by hardmath last updated on 20/Jun/24
y = ∣x − 2∣ + ∣x + 4∣ Find: min(y) and max(y)
y=∣x−2∣+∣x+4∣Find:min(y)andmax(y)
Answered by A5T last updated on 20/Jun/24
y has no global maximum,y→+∞ as x→+_− ∞ ∣x−2∣+∣−4−x∣≥∣x−2−4−x∣=6⇒min(y)=6
yhasnoglobalmaximum,y→+∞asx→+−∞∣x−2∣+∣−4−x∣⩾∣x−2−4−x∣=6⇒min(y)=6

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