$\"\"$

Observe the graph :

Select the points from the graph and place them in a table.

Table :

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

Find the difference between the $\"\"$ -values and diffrence between $\"\"$ -values.

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

The difference between the $\"\"$ –values is $\"\"$ , while the difference between the $\"\"$ –values is $\"\"$ .

Hence the equation is $\"\"$ .

Check the solution by substituting $\"\"$ -values in the function :

When $\"\"$ , $\"\"$

Therefore, the $\"\"$ -values are not satisfied the equation.

$\"\"$

Let us take some other values to find the equation :

Make a table:

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

From the table $\"\"$ is always $\"\"$ more than $\"\"$ .

Therefore, $\"\"$ should be added $\"\"$ to get the pattern.

Hence the funcion is $\"\"$ .

Check the solution by substituting $\"\"$ -values in the function :

When $\"\"$ , $\"\"$

Therefore, the $\"\"$ -values are satisfied the equation.

So, the function is $\"\"$ . $\"\"$

The function is $\"\"$ .