Question

The area bounded by $f\left(x\right)=||x-1|-6|$ and $y=0$ is sq. units

• A. 36.0
• B. 36.00
• C. 36

Answer 1

Answer: (A), (B), (C)

Curve of $y=|x|$ is


For $y=|x-1|,$ we move the curve right by $1$ units.


For $y=|x-1|-6,$ we move the curve downwards by $6$ units.


Now, graph of $y=f\left(x\right)=||x-1|-6|$ is


Hence, the required area
$=\frac{1}{2}\times 12\times 6=36\text{sq.units}$