PAGE: 198 SET: Exercises PROBLEM: 3

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  .

and  .

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 ,

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 ,

When ,

When ,

When ,

Therefore, the -values are satisfied the equation.

So, the function is .

The function is .

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