Section+5.2

Definition: Periodic Function - A function f is called a periodic function if there is a positive number p such that f(x + p) = f(x) for all x in the domain of f If p is the smallest such number for which this equation holds, then p is called the fundamental period. I. The Graph of f(x) = sinx II. The Graph of f(x) = cosx III. The Amplitude and Period of Sinusoidal Graphs Definition: Amplitude of Sinusoidal Functions - For sinusoidal functions of the form y= AsinBx and y = AcosBx, the amplitude is [A]. When [A] < 1, the graph is compressed in the vertical direction, and when [A] > 1, the graph is stretched in the vertical direction Definition: Period of Sinusoidal Functions - For sinusoidal functions of the form y = AsinBx and y = AcosBx, the period 2pi/B. When 0 < B <1, the graph is stretched in the horizontal direction, and when B > 1, the graph is compressed in the horizontal direction.
 * Section 5.2 Graphs of Sine and Cosine Functions**