PPT-Graphing Piecewise Functions

Example Graph the piecewise defined function What is the domain of the function What is the range of the function 05 Example Graph the piecewise defined function What is the domain of the function. : Core-Content Area Report . Erica Sisk. Fall 2011. When teaching students about the properties of circles, a technology that is very useful for discovering these properties is Geometer’s Sketchpad. Teachers can assign the students pre-packaged assignments from the Geometer’s Sketchpad resources located on the interactive disc or create assignments from scratch. . Reva . Narasimhan. Associate Professor of Mathematics . Kean University, . NJ. www.mymathspace.net/presentations. Overview. Introduction . Why functions?. Challenges in teaching . the function concept. c x = , the function must be continuous, and we will then see if it is differentiable. Let Pre-Cal Advanced. Ms. Ouseph. Objective for today!. We will use our knowledge of . domain. and . transformations. to graph . piecewise functions. .. A piecewise function is…. A function defined by . Warm Up. What did you think of the test yesterday?. What topic(s) do you think you need the most practice/review of before the midterm?. Solve the following equation for y: ax + (by). 2. = c. Write down everything you can think of when you hear “piecewise function.”. Enea. Sacco. 2. Welcome to Calculus I!. Welcome to Calculus I. 3. Topics/Contents . Before Calculus. Functions. New functions from the old. Inverse Functions. Trigonometric Functions. Inverse Trigonometric Functions. Exponential and Logarithmic Functions. . Continuity. Coley Hawk. Definition/Laws of Continuity. A function ‘f’ is considered continuous at a number ‘a’ if all three of the following criteria are true.. lim. . x. a. - f(x)= . lim. Objective: Students will understand what a piecewise function is and how to sketch and interpret the graph.. Piecewise Function. A function made up of 2 or more different graphs. Inequalities will tell you what part of the graph you need. Define appropriate quantities from a situation, choose and interpret the scale and the origin for the graph, and graph the piecewise linear function.. Learning Goal . 2 . (HS.N-Q.A.1, 2, 3):. The student will be able to use units to solve multi-step contextual problems. .. (From a Real World Scenario). Creating Piecewise Functions from Real World Scenarios – Day 3. 4-Step Problem Solving Process:. STEP 1: Understand the problem:. . a) Read the entire problem.. . Define appropriate quantities from a situation, choose and interpret the scale and the origin for the graph, and graph the piecewise linear function.. Learning Goal . 2 . (HS.N-Q.A.1, 2, 3):. The student will be able to use units to solve multi-step contextual problems. What is a piecewise function?. A piecewise function . (passes vertical line test) . is a function that is made up of different graphs for different intervals.. “Frankenstein Functions”. Students will be able to Identify and Graph piecewise functions (including absolute value) as evidenced by a math journal.. How do the value of . a. , . h. , and . k. , affect the graph of the absolute value function . ?. Students will be able to translate graphs of absolute value functions.. Students will be able to . stretch, shrink and reflect graphs of absolute value functions.. Scientist interpret tables, graphs, and diagrams to locate data, examine relationships in the data, and extend those relationships beyond the data.. Reading graphs can be like reading a foreign language though. It come easy to some and very difficult to others..