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1. function- A function has exactly one output value for each input value. *Remember, relations can be represented as ordered pairs or in a table
function Not a function
input output input out put
maria dog Maria dog
Devon cat Devon cat
Ameila bird Amelia bird
2.vertical line test-a method to determine whether a graph shows a relationship that is or is not a function; if any vertical line drawn on the graph intersects the figure more than once, the graphed figure does not represent a function
Rules- *A relation is a function if there are no vertical lines that can be drawn that intersect the graph more than once.
*A relation is not a function if there is at least one vertical line that intersects the graph two or more times.
3.Domain of a function-all of the possible input values for which a function is defined
An open circle on a graph indicates a strict inequality, and the point is not included.
Use the symbols > (greater than) or < (less than) to model the inequality.
A closed circle on a graph indicates a non-strict inequality, and the point is included.
Use the symbols ≥ (greater than or equal to) or ≤ (less than or equal to) to model the inequality.
*From an input-output table of values, you can determine the domain by examining the input column, and you can determine the range by examining the output column.
4.Range of a function-all of the possible output values of a function
*You can determine the range by examining the output column.
5.evaluate- To find the value of a mathematical expression.
-To evaluate a function at a given input, you need to find f(x) for a given x-value.
6.linear function- A function that contains variable terms with a power of only 1 or 0; also, a function whose graph creates a straight, nonvertical line
7. Arithmetic sequence-
8.discrete-
9.recursive formula-
10.Explicit formula-
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