Mathematics | Course : Model Mathematics III (Integrated Pathway)
Domain - Interpreting Functions
Cluster - Analyze functions using different representations.
[MIII.F-IF.C.7.c] - Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.*
[MI.F-IF.A.1] -
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
[MI.F-IF.C.7.e] -
Graph exponential functions, showing intercepts and end behavior.*
[MIII.A-APR.B.3] -
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
[MIII.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. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
[PC.F-IF.C.7.d] -
(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.*