Exponential Functions- Growth and Decay

Front

What does the 'a' represent in an exponential function?

Back

Y-INTERCEPT

Front

What function can be used to determine the monthly cell phone sales x months after January if sales increase at a rate of 3.75% per month?

Back

f(x) = 417(1.0375)ⁱ

Front

How would you write the decay factor for a population decreasing at a rate of 5%?

Back

.95

Front

Which function can be used to determine the number of deer in a population decreasing by 1.5% per year?

Back

y = 1500(1 - 0.015)ⁱ

Front

What is the general form of an exponential growth function?

Back

f(x) = a(1 + r)ⁱ, where 'a' is the initial amount and 'r' is the growth rate.

Front

What is the general form of an exponential decay function?

Back

f(x) = a(1 - r)ⁱ, where 'a' is the initial amount and 'r' is the decay rate.

Front

If a population of 1000 decreases by 10% each year, what is the decay factor?

Back

.90

Front

What does the base of an exponential function represent in terms of growth or decay?

Back

The base indicates the growth (if > 1) or decay (if < 1) factor.

Front

How do you convert a percentage rate to a decimal for use in exponential functions?

Back

Divide the percentage by 100.

Front

What is the effect of a higher growth rate on the graph of an exponential function?

Back

It results in a steeper curve.