Exponential Functions and Their Properties

Art and Music

Biology and Chemistry

Philosophy and Ethics

History and Literature

Base must be greater than 0 and not equal to 1

Base can be any real number

Base must be less than 0

Base must be equal to 1

Exponential functions do not grow

Exponential functions grow faster than power functions

Exponential functions grow at the same rate as power functions

Exponential functions grow slower than power functions

(1, 1)

(0, 1)

(1, 0)

(0, 0)

It decreases exponentially

It oscillates

It remains constant

It grows exponentially

All real numbers

Only integers

All negative numbers

All positive numbers

y = 0

y = 1

x = 0

x = 1

The time in years

The number of times interest is compounded

The principal amount

The interest rate

1.62

2.71

3.14

0.57

Subtract the exponents

Add the exponents

Set the exponents equal to each other

Multiply the exponents