Currently, I'm studying logarithmic functions. Will be very grateful for your help and guidance. Thank you!

The population of Mobile, Alabama is shown in the table below for the years 1986 through 2011 in five year increments. Mobile incorporated in 1879 with fewer than two hundred citizens.

Year:

1986, 1991, 1996, 2001, 2006, 2011

Population:

154193, 208706, 267300, 347820, 394980, 408251

a) Graph a scatter plot of this data to show how the population is related to the year.

b) Determine an equation for a logarithmic regression function that would model this data.

c) Describe the end behaviour.

d) Determine any restrictions on the Domain and Range.

e) Estimate the population for the year 2025.