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. They are im portant in math as well as in physical sciences physics and engineering They are especially important in solving boundary values problems in cylindrical coordi nates First we de57356ne another important function the Gamma function which for the United States Department of Energy’s National Nuclear Security Administration. under contract DE-AC04-94AL85000.. Scott . A. . Mitchell. Computing Research. Sandia National Laboratories. International Meshing Roundtable. Xi Chen. Machine Learning Department. Carnegie Mellon University. (joint work with . Han Liu. ). . Content. Experimental Results. Statistical Property . Multivariate Regression and Dyadic Regression Tree. APRIL 14. Lasso. Smoothing Parameter Selection. Splines. Lasso – R package. l1ce() in library(“lasso2”) or lars() in library(“lars”). l1ce( y ~ . , data = dataset, bound = shrinkage.factor). Reva . Narasimhan. Associate Professor of Mathematics . Kean University, . NJ. www.mymathspace.net/presentations. Overview. Introduction . Why functions?. Challenges in teaching . the function concept. Exponential Functions & Their Graphs. Logarithmic Functions & Their Graphs. Properties of Logarithms . Exponential and Logarithmic Equations. Exponential and Logarithmic Models. a. b.. 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/. 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?. .. (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.. . , Ch . 10.3: . The . Fourier Convergence . Theorem. Elementary Differential Equations and Boundary Value Problems, 10. th. edition, by William E. Boyce and Richard C. . DiPrima. , ©2013 by John Wiley & Sons, Inc. . , . are.  . canonical.  solutions . y. (. x. ) of . Bessel's . differential equation. :. α (the . order.  of the Bessel function). Bessel functions are also known as . cylinder functions.  or . 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 .