Piecewise Function Example Problem

A piecewise function is a function fx which has different definitions in different intervals of x. The graph of a piecewise function has different pieces corresponding to each of its definitions. The absolute value function is a very good example of a piecewise function. Let us see why is it called so.

Students understand that the graph of a function f is the graph of the equation y fx New York State Common Core Math Algebra I, Module 3, Lesson 15 Worksheets for Algebra 1. Problem Set Sample Solutions. 6. Graph the following piecewise functions for the specified domain. 7. Write a piecewise function for each graph below. Exit Ticket

Learn how to create and graph functions that behave differently based on the input value. See examples of piecewise functions with two or more pieces, such as the absolute value function and the floor function.

Piecewise Function Word Problems. Problem Your favorite dog groomer charges according to your dog's weight. If your dog is 15 pounds and under, the groomer charges 35. If your dog is between 15 and 40 pounds, she charges 40. If your dog is over 40 pounds, she charges 40, plus an additional 2 for each pound.

Example 3. Graph the piecewise function shown below. Using the graph, determine its domain and range. x 2 , for x 0. 5, for 0 lt x lt 2. Let's go ahead and break down the problem and find the expression of fx for each interval For a table of 1 to 5 guests, we can express that as 1 x 5 in terms of x.

Functions with Real Life Situations Problem 4 Piece-wise Function Rental car charges flat fee of P300.00 plus an additional P5.00 per mile when the number of miles driven is less than or equal to 100 miles. For any miles over 100, the company reduces the price to P2.50. 300

5. Graph each formula of the piecewise function over its corresponding domain. Use the same scale for the x-axis and y-axis for each graph. Indicate inclusive endpoints with a solid circle and exclusive endpoints with an open circle. Use an arrow to indicate endpoints of or .Combine the graphs to find the graph of the piecewise function

The following math revision questions are provided in support of the math tutorial on Piecewise Functions. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page which allow you to check your understanding of the topic and calculators which provide full, step by step calculations for each of the formula in the Piecewise Functions tutorials.

A piecewise function is defined by multiple equations, each applicable to specific intervals of the independent variable, typically denoted as x. This means that for different ranges of x, different equations will govern the output of the function. To illustrate, consider a piecewise function defined as follows fx In this example, the

based on story problems. Keep in mind that each piece of a piecewise defined function has its own domain, so we'll also have to set-up an interval for each piece, just like the sample piecewise function given below lt gt Example 1 A bakery has the following pricing for large orders of cupcakes.