A function is a mathematical rule that assigns each input exactly one output. Functions can be represented as ordered pairs, tables, graphs or equations. When represented as ordered pairs or tables, there cannot be repeats in the x-values, otherwise it is not a function. On a graph, if a vertical line intersects the graph more than once, it is not a function. Functions can be linear or non-linear. A linear function has a constant rate of change, while a non-linear function will have variables with exponents or multiplied together.

1. Functions Passage
A _______________ is mathematical rule that assigns each input exactly one
_______________. Functions can be represented as a set of ordered pairs, a table, a graph or
an equation.
When a function is written as a set or ordered pairs or a table, there can be no repeats
in the x value/_______________. If there is a repeat in the x value, then it is not a
_______________. When looking at a graph, you can use the _______________ to determine if
the graph makes a function. When you draw a vertical line, it should only hit the graph one
time. If the line you drew hits the graph more than once, it is not a _______________.
Functions can be _______________ or non-linear. If a function is linear, that means
there is a constant rate of change. If the function is written as a table, you should look for a
constant change in the _______________ and a constant change in the outputs. If there is a
constant change, then the table is _______________. If a function is on a graph, it has to be a
straight line in order to be _______________. If it’s not a straight line, then it’s not linear.
When written as an equation, there are a couple things to look for that will make it non-linear.
First, look for variables with an exponent. Second, look for variables that are multiplied
together. If the variables don’t have exponents and they aren’t being multiplied together, then
the equation is _______________.