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Exponential Function:

The inverse of an Logarithmic function

Logarithmic function:

The inverse of an exponential function

Asymptote:

a straight line that is the limiting value of a curve a line which a graph never crosses

base:

the number that serves as a starting point for a logarithmic or other numerical system

common logarithm:

a logarithm to the base 10

inverse function:

the function obtained by expressing the dependent variable of one function as the independent variable of another

natural logarithm:

a logarithm to the base e

exponential growth:

growth of a population that multiplies by a constant factor at constant time intervals

exponential decay:

a decrease that follows an exponential function

natural base:

exponetial function with base e

principal:

the original amount on which interest is calculated

compound interest:

Interest calculated on both the principal and the accrued interest.

rational exponent:

an exponent that can be expressed as m/n , where m and n are integers and n ≠ 0

(0,1) and (1,b)

Points on parent graph (exponential form)

(1,0) and (b,1)

Points on parent graph (logarithmic form)

Asymptote (exponential form)

Parent graph: Y=0

Asymptote (logarithmic form)

Parent graph: X=0

Domain (exponential form)

All real numbers

Domain (logarithmic form)

When a>0: values > Asymptote

Range (exponential form)

When a>0: values > Asymptote

Range (logarithmic form)

All real numbers

Reflections (exponential form)

when a<0, reflection over X-axis

Reflections (logarithmic form)

when a<0, reflection over X-axis

horizontal?

Vertical stretch: a ≠ 0

Stretches (logarithmic form)

Vertical stretch: a ≠ 0