Functions

A function works like a machine.  Numbers are put into the machine one at a time, and then the rule performs the operation(s) on each input to determine each output.  For example, when x = 3 is put into a machine with the rule y = 5x −7 , the rule multiplies the input, 3, by 5 and then subtracts 7 to get the output, which is 8.  This input and output can be written as an ordered pair: (3, 8).  Then it can be placed on an xy‑coordinate graph.

Find the output of the function machine at right when the input is x = 4 

y=

In your Learning Log, describe what it means for a relationship to be a function.  How can you describe the differences between graphs of functions and graphs of non‑functions?  In your Learning Log, give examples of what a function and a non-function look like in a table and on a graph.  Title this entry “Functions and Non-Functions” and include today’s date.