Question

The average monthly cable TV rate from 1980 to 1997 can be modeled by R(t) = - 0.0036t ^ 3 + 0.13t ^ 2 + 7.7

where R(t) is the monthly rate (in dollars) and t is the number of years since 1980. Using this model, what would be the average monthly rate in 2012?

Answer 1

Explanation:

where

a

n

≠ 0, the exponents are allwhole numbers, and the coefficients are all realnumbers. For this polynomial function,

a

n

is the

a

0

is theand

n

is the A polynomial function is inif its terms are written in descending order of exponents from left to right.You are already familiar with some types of polynomial functions. For instance, thelinear function ƒ(

x

) = 3

x

+ 2 is a polynomial function of degree 1. The quadraticfunction ƒ(

x

) =

x

2

+ 3

x

+ 2 is a polynomial function of degree 2. Here is a summaryof common types of polynomial function