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Common Core Math

High School: Functions: Interpreting Functions

HSF.IF.A.1

Fully covered
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).

HSF.IF.B.4

Partially covered
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.C.7.a

Partially covered
Graph linear and quadratic functions and show intercepts, maxima, and minima.

HSF.IF.C.7.c

Fully covered
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

HSF.IF.C.8.a

Fully covered
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.