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Author:
Kate Sidlo

By the end of this tutorial students should be able to find all inputs given function notation and a graph and find an output given function notation and a graph.

Tutorial

1) Take notes from the podcast

2) Make sure you have all the definitions from the bottom of the tutorial written down.

**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

**DEPENDENT:** A variable that changes because of the independent variable; y-variable; output

**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

**INDEPENDENT:** A variable that is chosen by you; x-variable; input

**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.