Match each recursive function with the equivalent explicit function. f(n) = 2n + 6 f(n) = – 2n + 10 f(n) = - 3n + 12
f(1) = 8
f(n) = f(n-1) + 2; n2 2
f(1) = 8
f(n) = f(n-1) - 2; n22
f(1) = 9
f(n) = f(n-1) – 3; n22

According to modern science, earth is about 4.5 billion years old and written human history extends back about 10,000 years. suppose the entire history of earth is represented with a 10-meter-long timeline, with the birth of earth on one end and today at the other end.

Do some research and find a city that has experienced population growth. determine its population on january 1st of a certain year. write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential growth. describe the variables and numbers that you used in your equation.

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)