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Functions: Interpreting Functions

2003 questions102 skills


227 questions11 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).


114 questions6 skills
Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.


278 questions15 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.


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


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.


92 questions6 skills
Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
Skills for this standard are coming soon.


20 questions1 skill
Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.


135 questions7 skills
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.


35 questions2 skills
Use the properties of exponents to interpret expressions for exponential functions.


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