Functions and Their Graphs
Terms
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- Definition of a Relation
- Any set of ordered pairs.
- Definition of a Function
- A set of ordered pairs for which each x-coordinate corresponds to a unique y-coordinate.
- Vertical Line Test
- If any vertical line intersects a graph at more than one point, the graph is not a function.
- Domain
- The set of all x-coordinates of a relation or function.
- Range
- The set of all y-coordinates of a relation or function.
- Difference Quotient
-
(f(x + h) - f(x)) / h
h does not equal 0 - Even Function
- f(-x) = f(x)
- Odd Function
- f(-x) = -f(x)
- A function is Even if...
- The right side of the equation remains the same.
- A function is Odd if...
- The sign changes for each term on the right side of an equation.