HSF-IF.A
Understand the concept of a function and use function notation.
HSF-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.
HSF-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.
HSF-IF.A.3
Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.
HSF-IF.B
Interpret functions that arise in applications in terms of the context.

HSF-IF.B.4
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

HSF-IF.B.5
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function gives the number of person-hours it takes to assemble engines in a factory, then the positive integers would be an appropriate domain for the function. 
HSF-IF.C
Analyze functions using different representations.

HSF-IF.C.7
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
HSF-LE.B
Interpret expressions for functions in terms of the situation they model.

HSF-LE.B.5
Interpret the parameters in a linear or exponential function in terms of a context.
HSF-LE.A.1.b
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

HSF-LE.A.1.c
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

HSF-LE.A.2
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

HSF-LE.A.3
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
HSF-LE.A
Construct and compare linear, quadratic, and exponential models and solve problems.

HSF-LE.A.1
Distinguish between situations that can be modeled with linear functions and with exponential functions.

HSF-LE.A.1.a
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
HSF-BF.A.1.a
Determine an explicit expression, a recursive process, or steps for calculation from a context.

HSF-BF.A.1.b
Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

HSF-BF.A.1.c
Compose functions.