Studied by 211 peopleSequence
an ordered list of numbers, with each listed number being a term. It could be finite or infinite.
Arithmetic Sequence
when each successive term in a sequence has a common difference (constant rate of change).
Geometric Sequence
when each successive term in a sequence has a common ratio (consistent proportional change).
Linear Function
if the output values of a function change at a constant rate.
Exponential Function
if the output values of a function change at a proportional rate.
Nth Term (Arithmetic)
the formula to find the nth term in an arithmetic sequence.
Nth Term (Geometric)
the formula to find the nth term in a geometric sequence.
Exponential Functions
always increasing or always decreasing, with no extrema or inflection points.
Horizontal Translation/Vertical Dilation
shifting or scaling an exponential function.
General Form of an Exponential Function
the standard equation for an exponential function.
Additive Transformation of an Exponential Function
adding a constant to an exponential function.
Negative Exponent Property
the property of negative exponents in exponential functions.
Product Property
the property of multiplying exponential functions with the same base.
Power Property
the property of raising an exponential function to a power.
Inverse Functions
the inverse relationship between two functions.
Identity Function
a function that returns the same value as its input.
Inverse of Exponential Functions
the inverse relationship between exponential and logarithmic functions.
Logarithmic Functions
functions that model proportional growth or repeated multiplication.
Log Product Property
the property of multiplying logarithmic functions.
Log Quotient Property
the property of dividing logarithmic functions.
Log Exponential Property
the property of exponentiating logarithmic functions.
Natural Log Property
the property of logarithmic functions with base e.
Exponential and Logarithmic Equations and Inequalities
solving equations and inequalities involving exponential and logarithmic functions.
Semi-Log Plots
plots with logarithmic scaling on the y-axis and linear scaling on the x-axis.
Linear Model for Semi-Log Plot
the equation for a linear model on a semi-log plot.
Note
Flashcard