Exponential Function

Basic Exponent Rules

100

5³ * 5⁵

5⁸

200

(k³)⁵

k¹⁵

300

1000000⁰

1

400

81^3/2

729

500

(8r⁶) x (2r¹)

16r⁷

Decay and Growth

100

Sally deposited $5000 in her account which earns 4% interest annually. How much money will she have after 5 years? This question is an example of which type of function?

1) Exponential Growth

2) Exponential Decay

3) Linear Growth

4) Linear Decay

Exponential Growth

200

f(x)=4(1-0.3)^x 

Does the following function represent exponential growth or decay?

Decay, it is in exponential decay form with a rate of decay of 30%

300

f(t)= 9(1+0.02)^t

What is the initial value of the exponential growth function AND what is the percent growth (rate)?

a=9

r=2%

400

y=1/3(1.4)^x

Does the following represent exponential growth or decay?

Growth

500

f(t)=(0.75)^t

Does the following represent growth or decay?

Decay