Topic 6 vocab

exponential function

y=ab^x

continuously compounded interest formula

A=Pe^rt

asymptote

a line that a graph approaches but never crosses

exponential form

a number written with a base and an exponent

exponential growth function

y = a(1 + r)^t, where a >0

logarithmic form

y=log(x)

exponential decay function

y = a(1- r)^t, where a >0

common logarithm

a logarithm with base 10

initial amount

The "a" in y=ab^x . What you begin with (also y-intercept).

natural logarithm

a logarithm with base e

constant ratio

A Ratio that a has constant value

logarithmic function

a function of the form f(x)=logbX, where b≠1 and b>0, which is the inverse of the exponential function f(x)=b^X

compound interest formula

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

exponential equation

an equation in which the variables occur as exponents

natural base

e is the natural base of a logarithm

logarithmic equation

An equation that contains one or more logarithms