If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Functions: Interpreting Functions

2138 questions103 skills

HSF-IF.A.1

215 questions10 skills
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.A.3

102 questions5 skills
Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

HSF-IF.B.4

177 questions8 skills
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

46 questions3 skills
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

HSF-IF.B.6

76 questions3 skills
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

HSF-IF.C.7

756 questions41 skills
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

HSF-IF.C.7b

92 questions6 skills
Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

HSF-IF.C.7c

47 questions3 skills
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

HSF-IF.C.7d

92 questions4 skills
Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

HSF-IF.C.9

101 questions4 skills
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).