How do I plot the graph of f(x) = 4/(x+3)?

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SUMMARY

The discussion focuses on plotting the graph of the function f(x) = 4/(x+3). Key steps include understanding the domain of the function and identifying limits of interest. Participants emphasize the importance of first mastering the graph of y = 1/x, as it serves as a foundational reference for transforming to y = 1/(x+3). The coefficient 4 indicates a vertical stretch of the graph.

PREREQUISITES
  • Understanding of function domains
  • Knowledge of graph transformations
  • Familiarity with the basic graph of y = 1/x
  • Concept of vertical stretching in graphing
NEXT STEPS
  • Study the properties of rational functions
  • Learn about graph transformations, specifically horizontal and vertical shifts
  • Explore the concept of vertical stretching in graphing
  • Practice plotting various rational functions for better understanding
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Students learning algebra, mathematics educators, and anyone interested in mastering graphing techniques for rational functions.

jcheema
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Problem drawing graph, please help!

Hi everyone, I'm struggling to draw the graph of f(x) = 4/(x+3)

I'm just wondering how you go about plotting a graph like this and the process you use to do it. Thanks for your time
 
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Well, first think about the domain of the function. Then think about some limits of interest.

Btw, http://home.alltel.net/okrebs/page192.html" . :smile:
 
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Learn to draw y = 1/x, first then realize what transformation maps y = 1/x on to y = 1/(x+3). The 4 only represents a one-way stretch in the y-direction, doesn't it.
 

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