A function is a relationship where there is exactly one
output per input. There can be multiple inputs for one output. When a function
is graphed, it passes the vertical line test, meaning that if I drew a vertical
line through the graph, it would only touch the graph once. Functions can be
represented on a graph, table, formula, or in words. The standard function
notation is output = f (input). Below is an example of a graph of a function.
This is an example of a function in a table. You plug the x,
which is the input value, into the equation below in order to get y, which is
the output value.
F(x)= x+3
X (input)
|
F(x) (output)
|
3
|
6
|
4
|
7
|
5
|
8
|
6
|
9
|
7
|
10
|
8
|
11
|
Functions are useful because they show the relationship
between dependent and independent variables. An example of this is the
relationship between temperature and time of day, time being the independent
(x) variable, and temperature being the dependent (y) variable since
temperature is related to the time of day.
I liked your explanation a lot, it was very concise and informative!
ReplyDeleteYou're explanation was really straight forward and easy to understand
ReplyDeleteThe chart helped a lot with you description!
ReplyDeleteGreat detailed description of what a function is!
ReplyDeletekirsten,
ReplyDeletenice explanation of what a function is! your table looked good and your use of vocab was spot on. i could not see your first graph, unfortunately, but other than that, good job!
professor little