an imaginary line that an exponential function approaches as x goes to + infinity

plugging one function into another; f(g(x)) or g(f(x))

the fixed multiplier of a geometric sequence

function of the form f(x) = a(b)^x

the highest or lowest value in a set

each term after the first is found by multiplying the previous one by a fixed non-zero number called the common ratio

f(x) = [x]; also called the floor function or the rounding down function

portions of the domain of a function where the graph has no change

opposite operations in the opposite order; for f(x) it is f^-1(x)

a characteristic of a function where every x-value is paired with exactly one y-value and vice verse

consists of different function rules for different parts of the domain

undefined places on the graph where there are asymptotes, holes, jumps, or gaps; usually caused by division by 0 or disjoined pieces of a piecewise graph

a piecewise function consisting of only constant linear functions

“a” in the expression f(x) = a(b)^x

“b” in the expression f(x) = a(b)^x

when b > 1 in f(x) = a(b)^x

when 0 < b < 1 in f(x) = a(b)^x