## Calculus Textbook UBC

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AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

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2.1.4 Even More Graphing from Vertex Form Name: ____________________ Date: _________ Per: _____ For each of the following FUNctions: sketch a graph, state the domain and range, describe any transformations that the FUNction has undergon compared to its parent, state the y-intercept, the location of the vertex, and describe the intervals of the domain over which the FUNction is increasing or decreasing.

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AP Calculus AB ? Semester Exam Review No Calculator Portion A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAMINATION Directions: DO NOT WRITE ON THIS TEST. After examining the form of the choices, decide which is the best of the choices given and fill in the corresponding oval on the answer sheet. No partial credit will be given. Do not spend too much time on any one problem. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number. 1. Let f(x) be the function whose graph is shown to the right: A. B. C. D. E. none of the above 2. The graph of f(x) is shown in the figure to the right. What is ? A. ?1 B. 1 C. 2 D. it varies E. does not exist

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THE ART AND CRAFT OF PROBLEM SOLVING Second Edition Paul Zeitz University of San Francisco B.e:ENTENNIAL ? II i 1 807 ? z z ? ?WILEY? z z ? 2007 ! - ? II r BICENTENNIAL John Wiley & Sons, Inc. ACQUISITIONS EDITOR PROJECT EDITOR EDITORIAL ASSIST ANT SENIOR PRODUCTION EDITOR MARKETING MANAGER COVER DESIGNER COVER PHOTO Angela Battle Jennifer Battista Daniel Grace Ken Santor Amy Sell Michael St. Martine Steve Casimiro/The Image Bank/Getty Images, Inc. This book was set in LaTeX by the author and printed and bound by Malloy, Inc . The cover was printed by Phoenix Color. This book is printed on acid free paper. 00 Copyright ? 2007 John Wiley & Sons, Inc. All rights reserved.

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Function continuity at x=a (bridges) F(x) is continuous at x=a if must exist f(a) must be defined f(a)= Ex. Continuous: f(a) is defined f(a)= Ex. Discontinuous: f(a) is defined f(a)

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Instead of doing the limit process of finding a derivative, there is a much more effective method of finding a derivative.
X^N -> the derivative would be -> N(X)^N-1
Say for example, you have f(x) = x^2, it would be 2(x)^(2-1), which would be 2x^1, or just 2x.
if you have 3x^3, it would be 3(3)x^(3-1), which would be 9x^2

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PAP Algebra 2 Unit 1 Review Dependent/Independent Independent: _________________________ Dependent: __________________________ 2. Independent: _________________________ Dependent: __________________________ Independent: _________________________ Dependent: __________________________ Money offered Performance on reading test Students surveyed Age in Kindergarten Survey results Reading & Math achievement Domain & Range/Function or not/ Discrete & Continuous 4. 1: Domain: _____________ Range: ______________ 2: _____________ 3: ________ {2, 3, 4, 6} {-1, 3, 6} Yes, it?s a function (because when 2 repeats, same y-value) Discrete 5. 1: Domain: _____________ Range: ______________ 2: _____________ 3: ________ {-3, -2, -1, 0, 1, 2} {5} Yes, it?s a function Discrete

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