Sine and Cosine Functions - amplitude, period, phase-shift, sinusoidal functions, periodic functionsTMM 002 PRECALCULUS (Revised March 21, 2017)1. Functions: 1a. Analyze functions. Routine analysis includes discussion of domain, range, zeros, general function behavior (increasing, decreasing, extrema, etc.), as well as periodic characteristics such as period, frequency, phase shift, and amplitude. In addition to performing rote processes, the student can articulate reasons for choosing a particular process, recognize function families and anticipate behavior, and explain the implementation of a process (e.g., why certain real numbers are excluded from the domain of a given function).*
Ohio Transfer Module Mathematics, Statistics, and Logic (TMM) Standards
Core TMM002 Outcome: Core skill demonstrated by students who successfully complete a Precalculus Course
Standard: Functions: Demonstrate a deep understanding of functions whether they are described verbally, numerically, graphically, or algebraically (both explicitly and implicitly). Students should be proficient working with the following families of functions: linear, quadratic, higher-order polynomial, rational, exponential, logarithmic, radical, piecewise-defined (including absolute value), and periodic functions.