Standard - AI.F.IF.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).

Standard - AI.F.IF.2:
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Standard - AI.F.IF.3:
Recognize that a sequence is a function whose domain is a subset of the integers.

Standard - AI.F.IF.4:
For a function that models a relationship between two quantities:

1. interpret key features of graphs and tables in terms of the quantities; and
2. sketch graphs showing key features given a verbal description of the relationship.

Standard - AI.F.IF.5:
Determine the domain of a function from its graph and, where applicable, identify the appropriate domain for a function in context.

Standard - AI.F.IF.6:
Calculate and interpret the average rate of change of a function over a specified interval.

Standard - AI.F.IF.9:
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).