Question

Find the area bounded by the curve \(y=|2-x|\), the \(x\)-axis, and the lines \(x=0\) and \(x=5\).

• A. \(12.5\) sq units
• B. \(4.5\) sq units
• C. \(6.5\) sq units
• D. \(8.5\) sq units

Hint:

For modulus functions: \[ |f(x)| = \begin{cases} f(x), & f(x)\ge0 -f(x), & f(x)<0 \end{cases} \] Always split the interval at points where the expression inside modulus becomes zero.

Answer 1

The Correct Option is C