Graphing Piecewise Functions Examples

By simply dividing up the number line or the coordinate plane into regions or a fence as cool math calls it we can quickly graph our function using our transformation techniques for our families of graphs and find the domain and range. Because these graphs tend to look like pieces glued together to form a graph they are referred to as piecewise functions piecewise defined functions or split definition functions.

How Do Graph Piecewise Functions 25 Use Piecewise

Free graph paper is available.

Graphing piecewise functions examples. Graph the piecewise function. Add a dot to the graph at 3 3. Definition of piecewise functions.

A step by step tutorial on graphing and sketching piecewise functions. Domain range of step function match the formula of a piecewise function to its graph. Then at x 3 the function just equals 3.

A piecewise defined function is a function defined by at least two equations pieces each of which applies to a different part of the domain. Piecewise functions are functions that are in separate pieces. A piecewise function is usually defined by more than one formula.

F x x if x 2 x if x 2 what the. Examples are at 336 1201 and 2237 graphing absolute value functions with. The graph domain and range of these functions and other properties are examined.

If youre seeing this message it means were having trouble loading external resources on our website. Finally we add in fx x 2 for all points after x 3 giving us the full graph. A fomula for each interval.

In fact the key to understanding piecewise defined functions is to focus on their domain restrictions. While plotting and in other words instead of one equation to input you may have several making up one large function. Well just go one piece at a time graphing each section in turn.

In other words instead of one equation to input you may have several making up one large function. I work through 3 examples of graphing absolute value functions by first rewriting them as piecewise functions. First we have fx x 1 right up to but not including x 3.

27 Piecewise Functions Graphs That Are Created By Using