State the intervals of increase and decrease

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SUMMARY

The discussion centers on identifying intervals of increase and decrease in a function, specifically addressing the significance of the point x=0 as an inflection point. Participants express confusion regarding the graphical representation provided, which was deemed unnecessary. The consensus acknowledges that x=0 plays a crucial role in determining the behavior of the function around that point.

PREREQUISITES
  • Understanding of calculus concepts, specifically inflection points.
  • Familiarity with graphical representations of functions.
  • Knowledge of intervals of increase and decrease in mathematical functions.
  • Basic skills in interpreting mathematical discussions.
NEXT STEPS
  • Study the definition and properties of inflection points in calculus.
  • Learn how to analyze functions for intervals of increase and decrease.
  • Explore graphical methods for representing functions and their behaviors.
  • Practice solving problems involving critical points and their implications on function behavior.
USEFUL FOR

Students of calculus, mathematics educators, and anyone seeking to deepen their understanding of function analysis and graphical interpretation.

angela107
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Homework Statement
What are the intervals of increase and decrease of ##y=3x^5-5x^3##?
Relevant Equations
n/a
Screen Shot 2020-05-28 at 2.51.26 PM.png

Is my answer correct?
 
Last edited:
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What is the meaning of your picture ? It is utterly useless and confusing to me !

I agree with your answer, but what about x=0 ?
 
BvU said:
What is the meaning of your picture ? It is utterly useless and confusing to me !

I agree with your answer, but what about x=0 ?
sorry, that graph wasn't supposed to be there!
x=0 is an inflection point
 
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