5.9 Graph and Amplitude

periodic function

a function that repeats a pattern over its domain

asymptotes

lines that a graph approaches but never touches

period of a function

the displacement of x at which the graph of a function begins to repeat

amplitude

the maximum displacement from the horizontal line of symmetry for the sine and cosine functions

frequency

the number of times the pattern in the graph repeats within 2 𝝅 for the sine, cosine, and their reciprocal functions or within 𝝅 for the tangent and cotangent functions; in physics, the number of waves (vibrations, revolutions, or cycles) that pass a given point per unit of time

domain

the set of first coordinates in a relation; the set of independent variable (x) values

range

the set of second coordinates in relation; the set of dependent variable (y) values