Question

If \(y=\max \{|x|, x,|x-2|\},\) then the area under the curve from x = -2 to x = 4 is (in sq. units)

(1) 15

(2) 20

(3) 12

(4) 8

Answer 1

Correct option is: (1) 15 

\(\max \{|x|, x,|x-2|\}\)   

Area \(=\frac{1}{2}[(1+4) \times 3]+\frac{1}{2}[1+4] \times 3\)

\(=\frac{15}{2}+\frac{15}{2}=15\) sq. unit