Domain and Range from Data Answers

One marketing company assumes a yearly growth in social media followers of 2.5% after implementing their ideas. Their client currently has 40,000 followers. They model the projected growth with the following function, where x is the time in years since 2017.f(x) = 40,000(1.025)x

The perimeter of a square can be expressed by the function f(s) = 4s, where s is the length of the side in inches.

The function f(x) = 14.5 – 0.25x2 is used to model the curve of a train tunnel, where x is the distance from the center of the tunnel, and the x-axis represents the ground. The mathematical range for the function is the set of real numbers less than or equal to 14.5.

An artificial pond is stocked with an initial population of 2,500 fish. The engineers estimate a 24% decline in the fish population over time without restocking or effects of fishing. The following function models the population, where x is the number of years since the pond was made.f(x) = 2,500(0.76)x