Let N - fit) be the number of households (in millions) that use a land-line\' te

Question

Let N - fit) be the number of households (in millions) that use a land-line' telephone in their home 1995, almost all households had a land-line telephone. By 2005 a small number of households had giving up their land-line and were relying entirely on cell- phones and internet based phone services such as Skype, but more and more households were giving up their land-line telephone service each year. Choose the best expression to match this statement. O f (10) 0 and f" (10) 0. O f (10) 0. O f (10)

Explanation / Answer

In 1995, Almost all households had landline phone that means number of lanlines were maximum in 1995 and then start decreasing.

In 2005, small number of households had giving up landline that means f(t) is decreasing

So, f'(10)<0

in 2005 small number of households starts giving up that means graph of f(t) seems to be concave up so f''(10) >0

f'(10) < 0 and f''(10) > 0

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