Step 1:

Observe from the graph, there are two line segments.

First line segment is passing through the points $\"\"$ and $\"\"$ .

Second line segment is passing through the points $\"\"$ and $\"\"$ .

The line equation passing through two points is $\"\"$ .

Step 2:

Equation of first line segment:

Consider $\"\"$ and $\"\"$ .

Substitute above values in line equation.

$\"\"$

Step 3:

Equation of second line segment:

Consider $\"\"$ and $\"\"$ .

$\"\"$

Hence, the piece wise function $\"\"$ .

Solution:

$\"\"$