Due to the nature of the mathematics on this site it is best views in landscape mode.

Hence the Piecewise Functions examples are solved.

Graphing a Piecewise Function When graphing Piecewise functions, we have to consider each piece and treat it as a separate function. The place on the graph, where the function changes from one piece to another piece.

While graphing, we have to graph the left portion of the graph upto the break point and end it as a solid dot or an open dot depending upon the condition given. We have to graph the right side of the graph with a solid or open dot, again depending on the given condition.

Here are Piecewise Functions examples including graphing: Graph the following Piecewise Functions. Observations Break Point Observations: There is an open dot at 0, 2. There is a solid dot at 0, 0. The same procedure can be used even if the Piecewise Functions examples given have three pieces or more.

If the piecewise function given has 3 pieces, then there will be two break points. We must take utmost care to place the solid and open dots appropriately. Step Function A step function is a function, whose graph is a set of lines which appear like steps.

Domain of Step Piecewise Function is divided into a number of equal intervals and in each interval, the Range is a constant. This means that within an interval, the value of the Step Function does not change.

There are a number of real life situations which can be well represented by Step functions.

For every real value of x, the greatest integer is less than or equal to x. Similarly another example of Step function is the Smallest Integer function, which is also called as the Ceiling function.LaTeX Tip: Piecewise Functions Doing piecewise functions in LaTeX isn’t exactly obvious, but isn’t too difficult either.

In general we will use \left\{ to get our big left bracket, then use an array for the content of the function, and use \right.

to close our bracket without displaying anything. Write a Piecewise Defined Function (Applications) *write this down!Theresa went for a bike ride. During the first hour, she traveled 15 miles. During the second hour, she traveled 22 miles. A piecewise function is a function that has different expressions based on where it is to be evaluated on the x-axis.

When doing definite integrals of piecewise functions, you set up multiple. In math, a function is an equation with only one output for each input.

In the case of a circle, one input can give you two outputs - one on each side of the circle.

Thus, the equation for a circle is not a function and you cannot write it in function form. It might be worth clarifying that this example is a step function, a special class of piecewise functions. For step functions, stepfun (mentioned by @KenWIlliams) and approxfun both work well.

approxfun also accommodates piecewise-linear functions (but not general piecewise functions). – dzeltzer Oct 12 '16 at Write a piecewise – defined function to model the water level L(x) (in inches) as a function of the number of days x since the beginning of the drought.

b. Graph the function.

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How to Plot a Piecewise Function - MaplePrimes