# Logarithms and Exponential Functions

# Algebra II Terms

## Get down with the lingo

### Base

### Exponential Function

A function with the*x*in the exponent over a constant base, which grows or decays depending on the value of the base. Coefficient optional, like mayonnaise.

### Inverse Function

A function with switched input and output values from the original function. When graphed, it is a mirror image across both axes.### Inverse Operation

A symbol that reverses the original operation, given the same input. Think about adding two then subtracting two.### Logarithmic Function

A function containing a logarithm, which rises quickly at very low values of*x*and then puts on the brakes

*hard*to slow down at higher values of

*x*.

### Logarithmic Scale

A graphing scale that increases at an exponential rate. It's usually recognizable by tick-marks at uneven intervals and weird googley eyes attached.### Natural Logarithm

A logarithm with a base of*e*, often written as

*ln*. Contains no preservatives.

### Operation

A way, usually represented by a symbol, to manipulate one or more input numbers and create one or more outputs. Not the board game, and definitely not surgery.### People who Shmooped this also Shmooped...

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