Algebra II Terms
Get down with the lingo
BaseThe number an exponent is "attached" to (what a leech) in its superscript. In a logarithm, it's located in the subscript (the number below the log).
Common LogarithmA logarithm with a base of 10. It's usually written all sneakily without a base as log x, but sometimes it shows up as log10 x.
Exponential DecayThe ever-decreasing quality of an exponential function with a base b that's in between 0 and 1.
Exponential FunctionA 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.
Exponential GrowthThe ever-increasing quality of an exponential function with a base b > 1.
Inverse FunctionGiven a function f(x), the inverse function f -1(x) is a new function where the input and output values are swapped. Translation: (a, b) becomes (b, a) for every single point on the graph.
Inverse OperationA symbol that reverses the original operation, given the same input. Think about adding 2, then subtracting 2.
Logarithmic FunctionA 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 ScaleA graphing scale that increases at an exponential rate. It's usually recognizable by tick-marks at powers of 10 and weird googly eyes attached.
Natural LogarithmA logarithm with a base of e, often written as ln. Contains no preservatives.
OperationA way, usually represented by a symbol, to manipulate one or more input numbers and create one or more outputs. Addition, subtraction, multiplication, division, exponentiation, and logarithms are all operations. Not the board game, and definitely not surgery.
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