Graphing Sinc Function on TI-89 and TI-84 | Step-by-Step Tutorial

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Discussion Overview

The discussion revolves around graphing the sinc function on TI-84 and TI-89 calculators, focusing on the correct input format and the resulting graph behavior. Participants explore the function's definition, graphing techniques, and troubleshooting issues related to calculator settings.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants define the sinc function as sinc(x) = sin(pi X) / (pi X) and suggest starting with graphing sin(pi X).
  • One participant notes that the graph appears to oscillate with increasing amplitude, which contradicts the expected behavior of the sinc function, where the highest oscillation should occur at x=0.
  • Another participant suggests checking the x and y axes for potential issues with the graphing output.
  • A participant mentions needing to bracket the Pi X term to avoid peculiar graphing results, indicating that input formatting may affect the output.
  • Several participants express gratitude for the community's support and share personal reflections on the learning process related to using their calculators.

Areas of Agreement / Disagreement

Participants express differing views on the graphing behavior of the sinc function, with some noting issues with amplitude and oscillation patterns. There is no consensus on the correct graphing method or the underlying reasons for the discrepancies observed.

Contextual Notes

Participants mention the importance of input formatting, such as the use of parentheses, which may affect the graphing results. There are also references to external tools like Wolfram Alpha for visualizing the function.

Who May Find This Useful

This discussion may be useful for students and educators in mathematics or engineering who are learning to graph functions on TI calculators, as well as those interested in the nuances of calculator input and output behavior.

tenacity2986
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how to graph sinc function on ti-84


sinc(x) = sin(pi X) / pi X

solution:

sinc(x) = sin(pi X) / (pi X)

yes it was that simple!
 
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tenacity2986 said:
how to graph sinc function on ti-84


sinc(x) = sin(pi X) / pi X

Can you graph sin(pi X)? That would be a good start. And then...
 
its not that it doesn't graph the function, but it graphs it backwards or something. From 0, it oscilllates with higher and higher amplitude to infinity and to negative infinity.

The highest oscillation is suppose to be at 1 when x=0 and oscillate down from x=0 to zero at x= infinity.
 
check the x and y axis
 
Have a look at the graph on Wolfram Alpha. It does oscillate with decreasing amplitude as you describe.

I had to bracket the Pi X bit to ( Pi X) to get it accepting the X on the bottom line. Maybe your calculator is doing the same thing. Bringing the X to the top would give a rising amplitude.

I just graphed the right hand side of the equation, otherwise it gave very peculiar squiggly lines. Try just graphing the right hand side of the equation.
 
thankyouu veryy much to everyone for encouraging a solution in our communityyy here! i hope to give back to your questions in the same way you've helped me... It was a super trivial solution which when dividing by pi*x, i had to put parenthesis! duhhh! and u would think a senior in EE would know how to use his calculatorr! LOL
 
tenacity2986 said:
thankyouu veryy much to everyone for encouraging a solution in our communityyy here! i hope to give back to your questions in the same way you've helped me... It was a super trivial solution which when dividing by pi*x, i had to put parenthesis! duhhh! and u would think a senior in EE would know how to use his calculatorr! LOL

Knowing your calculator's subtleties for input is one thing. Knowing how to use a keyboard is another... :rolleyes:

Glad we were able to help.
 

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