PPT-1.7 Piecewise Functions Students will be able to Identify and Graph piecewise functions

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. 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. 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. MEI. Anne Watson. 2017. Functions are a unifying idea in mathematics . For whom? . Understanding the functions concept. Representations. Covariation. e.g. instantaneous rate of change; constant and varying rates of change; sequential step sizes. .. (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. Road Trip!. Mr. Manker is traveling to California. . He drives at a constant pace:. 100 miles the first two hours. 210 miles the next three hours. 240 miles the next four hours. Create a graph . showing his . 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.