1
Question
Which of the following graphs represents f(x)=|x−2|−|x+6|?
Which of the following graphs represents f(x)=|x−2|−|x+6|?
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Solution
The correct option is C
Let y=|x−2|−|x+6|
For x≥2,
y=x−2−(x+6)
⇒y=−8
For −6<x<2,
y=2−x−(x+6)
⇒y=−2x−4
For x≤−6,
y=2−x+(x+6)
⇒y=8
Let y=|x−2|−|x+6|
For x≥2,
y=x−2−(x+6)
⇒y=−8
For −6<x<2,
y=2−x−(x+6)
⇒y=−2x−4
For x≤−6,
y=2−x+(x+6)
⇒y=8
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