functions

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 _______________.