Function
from class: College Algebra Definition A function is a relation between a set of inputs and a set of permissible outputs such that each input is related to exactly one output. Functions are often represented by $f(x)$ where $x$ is the input variable.
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Predict what's on your test 5 Must Know Facts For Your Next Test A function can be defined using different types of expressions such as equations, tables, and graphs. The domain of a function is the complete set of possible input values (x-values) that produce valid outputs. The range of a function is the complete set of all possible resulting output values (y-values). A function passes the vertical line test if no vertical line intersects its graph more than once. Function notation $f(x)$ specifies that $f$ is a function with $x$ as its input variable. Review Questions What does the vertical line test determine about a graph? How do you find the domain and range of a given function? What does $f(x)$ mean in terms of functions? "Function" also found in:
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