$\"\"$

\

The function is $\"\"$ and $\"\"$ .

\

(a) Find the expression for $\"\"$ similar to the $\"\"$ .

\

Since $\"\"$ is a piecewise function. determine $\"\"$ , by using properties of intergrals.

\

If $\"\"$ .

\

$\"\"$

\

If $\"\"$ ,

\

$\"\"$

\

$\"\"$

\

If $\"\"$ ,

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

If $\"\"$ , then $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ , when $\"\"$ .

\

$\"\"$

\

(b)

\

Graph the functions $\"\"$ and $\"\"$ .

\

Graph the piecewise function $\"\"$ .

\

$\"\"$

\

Graph the piecewise function $\"\"$ .

\

$\"\"$

\

$\"\"$

\

(c)

\

$\"\"$ .

\

\

\

$\"\"$

\

$\"\"$ .