Information Technology—Broadband Penetration: Many European countries are developing broad...

Information Technology—Broadband Penetration: Many European countries are developing broadband network for their citizens. “In other European countries, such as Denmark, they only have one per cent of homes outside the reach of ADSL, WiMAX or fibre-optic broadband coverage,” said Sarah Lee, head of policy for the Countryside Alliance. (Source: The Yorkshire Times.) The broadband penetration rate in Denmark from 2003 to 2010 can be modeled by a linear, a quadratic, and a cubic function. The models are:

where x represents the number of years since 2003, and f(x), g(x), and h(x) represent the percentage of the Danish population with access to broadband. (Source: Google public data.)

(a) Determine and interpret.

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(b) Determine and interpret.

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(c) Find and interpret.

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(d) Which of the three models, if any, gives the most reasonable estimate for the upper limit of the broadband rate in Denmark? Explain your answer.