The function is , .

Here represents the number of years after .

(a)

Graph the function , .

.

 (b)

Find the percent of house holds had basic cable in 2005.

The year 2005 is represents 18.

Find .

Substitute in .

.

Therefore, 68% of households had basic cable 2005.

 (c)

Find the percent of subscribers greater than 65%.

Find the intersecting points of  and .

Equate the forms and solve for .

Compare it with  .

.

Roots are .

Solutions are and .

Here 13 is represents the year 2000.

24 is represents the year 2011.

Because the domain is , leave the years after 2006.

The percent of subscribers greater than 65% between the years 2000 to 2006.

(a)

Graph of the function , :

.

(b) 68% of households had basic cable 2005.

(c) The percent of subscribers greater than 65% between the years 2000 to 2006.