Graphing Increase/Decrease Intervals of a Function

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SUMMARY

The discussion focuses on the process of graphing the intervals of increase and decrease of a function after determining them through calculus techniques. Participants emphasize the importance of constructing a sign chart for the first derivative to identify these intervals accurately. Additionally, they highlight that understanding the fundamental concept of a graph is crucial before proceeding with more complex graphing techniques. The conversation underscores the necessity of a systematic approach to graphing functions, including identifying maxima, minima, and inflection points.

PREREQUISITES
  • Understanding of first derivatives and their role in determining intervals of increase and decrease.
  • Familiarity with constructing a sign chart for the first derivative.
  • Knowledge of basic graphing techniques and function behavior.
  • Ability to identify maxima, minima, and inflection points in functions.
NEXT STEPS
  • Learn how to construct a sign chart for the first derivative of a function.
  • Study the process of identifying maxima and minima using calculus.
  • Explore techniques for graphing functions without prior derivative calculations.
  • Investigate the role of inflection points in the overall shape of a graph.
USEFUL FOR

Students, educators, and anyone involved in calculus or mathematical graphing who seeks to enhance their understanding of function behavior and graphing techniques.

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once you find the intervals of Increase/Decrease in a function how do u graph that??
 
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calc said:
once you find the intervals of Increase/Decrease in a function how do u graph that??

What do u mean??There are several steps to be taken before graphing a function.The tabel of signs for the first derivative is just one of them...Between that and the graphing,there are more steps to be taken...

Please,give a spacific example...And I'm willing to show what to do in order to graph the function...

Daniel.
 
I don't mean to be rough on you have asked to questions in which you have said you knew how to find intervals of increase/decease, maxima and minima, inflection points, etc. but don't know how to graph a function. Are you clear on what a "graph" is. For example, if you were given a function you had never seen before and couldn't calculate derivatives or anything like that, how would you graph it? What is the most basic way to graph a function?
 

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