sketch the graph of the function f(x)=x2(x-2)(x+3) Steps required: Domain x- and y-intercepts Asymptotes Symmetry consisting of: Find f’ Find all critical numbers Do the sign diagram and indicate where the function is increasing or decreasing Identify relative extrema (indicate that there are no relative extrema if none exist)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section: Chapter Questions
Problem 74SGR
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sketch the graph of the function f(x)=x2(x-2)(x+3)

Steps required:

  1. Domain
  2. x- and y-intercepts
  3. Asymptotes
  4. Symmetry
  5. consisting of:
  • Find f’
  • Find all critical numbers
  • Do the sign diagram and indicate where the function is increasing or decreasing
  • Identify relative extrema (indicate that there are no relative extrema if none exist)
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