303
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|?
Open in App
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
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
