Ill. Piecewise-defined Functions; Graphing, Interpreting, and features! Scroll down to page 201 and read the textbook pages on piecewise functions. This topic begins with an example of a car's variation of speed. Have you ever thought of using a graph to model your speed or how about your commute? For resources on piecewise functions, select Lecture: Interpreting a Piecewise-Defined Function for the video or PDF Transcript for Lecture: Interpreting a Piecewise-Defined Function or Example 5 in the text to view examples. Many students struggle with piecewise functions. Make sure you spend time on this topic in order to understand it. There are more resources to view for graphing and applications. These are listed below. Animation: Graphing a piecewise-defined function Lecture: Graphing a Piecewise-Defined Function PDF Transcript for Lecture: Graphing a Piecewise-Defined Function Example 6 in the text to view examples for graphing. Example 9 in the text to view an example of using a piecewise-defined function in an application. 1. 3) Create your own piecewise-defined function to model some real life situation such as you commute, a monthly salary (example #9, and problem #87 on page 212) or a cell phone plan (problem #88 page 212). State the function's equation and give a description of the function stating the input and output of your function. (8 pts.) b) Graph the newly created function using appropriate numbers for the axes. View Example 9 and note you do not have to use integers such as 1, 2, and 3. Include values where the function changes. (3 pts.) c) Evaluate the piecewise function at three values and state these coordinate points using function notation. (view Example 5) (3 pts.) d) State where the function is increasing, decreasing or constant using interval notation. (section 1.7 page 205) (3 pts.)