Mathematics | Course : Model Algebra I (Traditional Pathway)
Domain - Interpreting Functions
Cluster - Analyze functions using different representations.
[AI.F-IF.C.7.a] - Graph linear and quadratic functions and show intercepts, maxima, and minima.*
- Linear function
A function with an equation of the form y = mx + b, where m and b are constants - Quadratic function
A function that can be represented by an equation of the form y = ax2 + bx + c, where a, b, and c are arbitrary, but fixed, numbers and a 0. The graph of this function is a parabola.
[AI.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 (range) of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
[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
[PC.F-IF.C.7.d] -
(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.*