Mathematics | Course : Model Algebra II (Traditional Pathway)
Domain - Interpreting Functions
Cluster - Analyze functions using different representations.
[AII.F-IF.C.7.e] - Graph exponential and logarithmic functions, showing intercepts and end behavior; and trigonometric functions, showing period, midline, and amplitude.*
- Exponential function
A function of the form y = a •bx where a > 0 and either 0 < b < 1 or b > 1. The variables do not have to be x and y. For example, A = 3.2 • (1.02)t is an exponential function. - Logarithmic function
Any function in which an independent variable appears in the form of a logarithm; they are the inverse functions of exponential functions. - Midline
In the graph of a trigonometric function, the horizontal line halfway between its maximum and minimum values. - Trigonometric function
A function (as the sine, cosine, tangent, cotangent, secant, or cosecant) of an arc or angle most simply expressed in terms of the ratios of pairs of sides of a right-angled triangle.
[PC.F-TF.B.6] -
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
[AQR.F-TF.A.4] -
(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.