How to Graph Functions with Respect to Constants in Mathematica?

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SUMMARY

This discussion focuses on graphing functions in Mathematica with respect to constants. Users inquire about plotting the function y = ax for varying values of the constant 'a' without specifying a definite value. The solution provided involves using the Plot function combined with the Table function: Plot[Table[a x, {a, 1, 10}], {x, -2, 2}]. This effectively allows for the visualization of multiple linear functions on the same graph.

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  • Familiarity with Mathematica syntax and functions
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  • Basic knowledge of linear equations
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  • Learn about the use of parameters in function definitions
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Nabeshin
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Hey, I was wondering if any of you know if it's possible to graph functions in mathematica with respect to a constant instead of a real number.

For example, plot the function ax from 1 to 10.

Is there any way to get it to plot this and just realize it needs to throw a's on the vertical axis, or do I always have to specify a definite value of the constant?
 
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Do you mean you want to plot y = a x for several values of a, like so:
Code:
Plot[Table[a x, {a, 1, 10}], {x, -2, 2}]
 

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