Simple graphing that will take a second

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Homework Help Overview

The original poster attempts to graph the function y=1/(x+3)(x+1), seeking guidance on the process involved in plotting it.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the interpretation of the function, questioning the initial expression and clarifying the correct form. They raise fundamental questions about graphing functions, including intercepts, asymptotes, continuity, and points of inflection.

Discussion Status

The discussion is ongoing, with participants exploring various aspects of the function's behavior and characteristics. Some guidance on key questions to consider when graphing has been provided, but no consensus has been reached on specific methods or solutions.

Contextual Notes

There is a noted confusion regarding the original expression due to a typographical error, which may affect the understanding of the function being graphed.

ACLerok
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I'm supposed to graph y=1/(x+3)(x=1) how do i do it?
 
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Er, what? What's the equals sign doing inside the parentheses on the right end of the expression?

- Warren
 
y=1/(x+3)(x+1)

my bad :)
 
Erm, here are the basic questions we had to ask when plotting functions:

Does it have x or y intercept (also which direction it has at these points)?
What does it approch when it goes to positive infinity and negative infinity?
Does it have any asymtopes?
Is there any non-continous point?
Where are its points of inflections, it's local maximums and minimums (if it has any) ?

All I can think off on the top of my head. Work those out and you can generally draw it.
 

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