Functions

Notes

A function is a special relationship between values: Each of its input values gives back exactly one output value.

It is often written as "f(x)" where x is the value you give it.

IMPORTANT TERMS:

  • Input-Domain-Independent-x
  • Output-Range-Dependent- y- f(x)

DETERMINING IF A RELATION IS A FUNCTION:

  • Mapping/Tables: check input/output rule
  • Vertical Line Test: Draw a vertical line through the graph. If the vertical line touches more than one point on the graph, it is not a function. This means that the x value along the vertical line has more than ONE output.


REMEMBER:

There are different ways to represent the same information. An input/output table is a way to organize your work and ordered pairs. The ordered pairs translate to the graph forming a pictorial representation of the function. The algebraic equation provides a rule that can be used to determine the output for any given input.

Comment Stream