PPT-Piecewise Functions

Warm Up What did you think of the test yesterday What topics do you think you need the most practicereview 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. . the. Problem. (MAVT). Y. İlker TOPCU. , . Ph. .D.. www.ilkertopcu.. net www.. ilkertopcu. .org www.. ilkertopcu. .. info. www.. facebook. .com/. yitopcu. twitter. .com/. yitopcu. . MAVT vs. MAUT . 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 .  .  .  . In May 2003, . Nicor. Gas had the following rate schedule for natural gas usage in singe-family residences:. Monthly customer charge: $6.45. Distribution charge:. 1. st. 20 . therms. $0.2012/. 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. Example.. Graph the piecewise. defined function. What is the domain of the function?. What is the range of the function?. (0,5). Example.. Graph the piecewise. defined function. What is the domain of the function?. . 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.. Model data with a linear function. Evaluate . and graph piecewise-defined functions. Evaluate . and graph the greatest integer function. Use . direct variation to solve problems. Modeling with a Linear Function.