AP Precalculus- Unit 2: Exponential and Logarithmic Functions Flashcards

an ordered list of numbers, with each listed number being a term. It could be finite or infinite.

when each successive term in a sequence has a common difference (constant rate of change).

when each successive term in a sequence has a common ratio (consistent proportional change).

if the output values of a function change at a constant rate.

if the output values of a function change at a proportional rate.

the formula to find the nth term in an arithmetic sequence.

the formula to find the nth term in a geometric sequence.

always increasing or always decreasing, with no extrema or inflection points.

shifting or scaling an exponential function.

the standard equation for an exponential function.

adding a constant to an exponential function.

the property of negative exponents in exponential functions.

the property of multiplying exponential functions with the same base.

the property of raising an exponential function to a power.

the inverse relationship between two functions.

a function that returns the same value as its input.

the inverse relationship between exponential and logarithmic functions.

functions that model proportional growth or repeated multiplication.

the property of multiplying logarithmic functions.

the property of dividing logarithmic functions.

the property of exponentiating logarithmic functions.

the property of logarithmic functions with base e.

solving equations and inequalities involving exponential and logarithmic functions.

plots with logarithmic scaling on the y-axis and linear scaling on the x-axis.

the equation for a linear model on a semi-log plot.