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Author:
Kate Sidlo

By the end of this tutorial you will be able to identify the parts of function notation, list two reasons why we use function notation, and solve for an output using substitution with function notation.

Tutorial

1) Take notes from the podcast

2) Double check that you have all the vocabulary definitions at the bottom

**CONTINUOUS: **A set with no breaks in domain or range

**DECREASING: **A function that goes down as you move across the graph from left to right

**DISCRETE:** A set with breaks in the domain or range

**DOMAIN:** The set of all inputs or x-values for a function

**FINITE:** A set that ends. Shown on a graph with using points at the ends.

**FUNCTION:** A relationship where every input has one and only one output

**INCREASING: **A function that goes up as you move across the graph from left to right

**INFINITE:** A set that never ends; lasts forever. Shown on a graph using arrows at the ends.

**INPUT:** A term or number that is plugged into a relationship; the x-variable in an ordered pair

**LINEAR:** A function in the shape of a line

**NON LINEAR:** A function not in the shape of a line; curve

**RANGE:** The set of all outputs or y-values for a function.

**RELATIONSHIP:** A comparison of terms, variables, and/or numbers (typically an equation or inequality)

**OUTPUT:** A term or number that is the answer or solution to a relationship; the y-variable in an ordered pair

**VERTICAL LINE TEST:** A test that uses vertical lines to check if a graph is a function. Each vertical line can intersect a graph only once for a graph to be a function.