7.9 is the value of a function y = f(x). Identify the function. Then approximate this value by using a linearization of the function at an appropriate value x=a in the domain of f to give a good estimate. Ideally, a is such that f (a) and f (a) can be computed exactly and are not approximations themselves.

Let f(x)f(x) be the height of a maple tree in inches and xx the number of years since 2000. A linear model for the data is f(x)=9.44x+84.182f(x)=9.44x+84.182.36912155060708090100110120130140150160170180190200210220A) To the nearest inch, estimate the height of the maple tree in 2011.  inchesB) Use the equation to find the year in which the tree will be 237 inches tall.

a. Write the equation of the line that represents the linear approximation to the following function at the given point a. b. Use the linear approximation to estimate the given quantity. c. Compute the percent error in the approximation, 100 f(x) = 3ex at a = 0; f(0.05) ● approximation - exact exact " where the exact value is given by a calculator.