Mathematics | Course : Model Algebra II (Traditional Pathway)
Domain - Building Functions
Cluster - Build new functions from existing functions.
[AII.F-BF.B.3] - Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include simple rational, radical, logarithmic, and trigonometric functions. Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph using technolog
- Logarithmic function
Any function in which an independent variable appears in the form of a logarithm; they are the inverse functions of exponential functions. - 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.
[AI.F-IF.A.2] -
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. For example, given a function representing a car loan, determine the balance of the loan at different points in time.
[AI.F-IF.C.7.a] -
Graph linear and quadratic functions and show intercepts, maxima, and minima.*
[AII.F-IF.C.7.b] -
Graph square root and cube root functions.*
[AII.F-IF.C.7.c] -
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.*
[PC.F-IF.C.7.d] -
(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.*