exponential function formulas

General form for exponential functions

y = ab^x

Exponential growth and decay form

A(t) = a(1+_r)^t

Continuously compound interest form

Pe^rt

A(t) = P(1+r/n)^nt

Compound interest

Tf is half-life

y = a(1/2)^t/hl

Increasing, decreasing

“Says growth and decay formula”

Asymptote

A line that gets very close to the graph but doesn’t touch it

Total amount looks like…

A(t), y

What does the ln mean and what — tell me about it.

Natural log it cancels out Euler’s number

Difference between expression and equation

Equation has an equal sign

Initial amount looks like

P, a

Tripling, doubling, quadrupling

General form

for growth, is the number less or greater than one

Greater

for decay, is the number less or greater than one

Less than

A rate is a…..

Percent

You can take the log of a negative number t or f

FALSE YOU CANNOT

Logarithmic to exponential form go

This right here