What's a Function?
A function is an input related to an output. There are many different types of functions like linear, quadratic, exponential and square roots. Each one has its own equation, it own graph and behaves in its own way.
Functions can relate a number of things. Anything from how much work done and the money you earn, to how much time spent studying and the grade received on a test. There are some rules that come along with functions. In order to be a function, there can only be one output for each input. NC Common Core and Functions
The following is the common core standard of functions in North Carolina, found in section F-IF 1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). To learn more about the common core standards of functions, click the link below. |
Properties of Functions:Functions all have domain and ranges. The domain is a set of all valid x values (inputs). The range is all valid y values (outputs).
There are two ways a function can also be undefined. These two ways are: 1. Divided by 0 2. Negative under the square root Functions can be be increasing and decreasing. A function is increasing is it rise from the left to the right. A function is decreasing is it falls from left to right. |