指数增长与衰减

Introduction

Exponential functions of form

Determining formulas for exponential functions

An investment of $20,000 grows 8% per year, so I(t) = 20000(1.08)^t. What is its value after 2 years, in dollars?

For g(t) = a b^t with a > 0, what are the domain, range and y-intercept?

How does the base b affect g(t) = a b^t?

One exponential graph falls from a high intercept while another rises from a lower one. What can you conclude?

An exponential p satisfies p(2) = 11 and p(5) = 18. What is b, the growth factor per unit, to four decimal places?

A car worth $12,500 at age 3 and$6,500 at age 7. Why is an exponential model more realistic than a linear one?

In exponential growth with b > 1, the quantity is multiplied by the same factor b each unit of time.