is there any technique to plot graphycally any given function without calculation
you could use wolframalpha to plot the function. see this as an example: http://www.wolframalpha.com/input/?i=y%3Dx^2%2B3x-8
the function is a rule that is followed to determine the exact points on the graph. so no, you cannot plot a given function without actually working out the function.
if you want to sketch a given function that conforms to the elementary functions, then you can eyeball it and use the adjustments to the elementary function to shape it correctly
Sketch the graph for the function f ( x ) = xe-aX and locate its maximas and minimas ( if any ).
i cant read the function you wrote ...
Sketch the graph for the function f ( x ) = xe-aX and locate its maximas and minimas ( if any ).
f(x)=xe-aX means nothing to me ... it is either badly notated, or it pertains to something more specific in your own material
f(x)=xexp(-ax2)
f(x)=x exp(-ax2)
\[f(x)=x\ exp(-ax^2)\]
Sketch the graph for the function f(x)=x exp(-ax2) and locate its maximas and minimas ( if any ).
we can see that this is 0 at x=0 when x= some positive number this follows the same path as e^{-x^2} and when x is negative it follows the same path as -e^{-x^2}
what is the path of-e^{-x^2} ???????????
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