Exponential Functions- Growth and Decay

Front

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

Back

Y-INTERCEPT

Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF.LE.A.2

Front

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

Back

.95

Tags

CCSS.HSF-IF.C.8B

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

Tags

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF-IF.C.8B

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.

Tags

CCSS.HSF-IF.C.8B

Front

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

Back

.90

Tags

CCSS.HSF-LE.A.1C

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.

Tags

CCSS.HSF-IF.C.8B

Front

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

Back

Divide the percentage by 100.

Tags

CCSS.HSF.BF.B.5

Front

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

Back

It results in a steeper curve.

Tags

CCSS.HSF-IF.C.7E