swagswagyoloswag
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- 2015
How would i sketch x^x? Also, why is f(x) not defined for x<0 ? When (-2)^(-2) = 4?
Try x=-1/2 to see why negative x values can get nasty.How would i sketch x^x? Also, why is f(x) not defined for x<0 ? When (-2)^(-2) = 4?
So would it only work for negative integer values?Try x=-1/2 to see why negative x values can get nasty.
Also, to obtain a rough sketch for positive x, realise that you are sketching
It also works for reciprocals of odd roots (like cube roots, fifth roots, etc.), e.g. is real.So would it only work for negative integer values?
So it wouldn't be worth it to graph the negative x values as only those work?It also works for reciprocals of odd roots (like cube roots, fifth roots, etc.), e.g. is real.
It'd be quite dodgy to graph the negative x (if you're only graphing on the real plane). The function is going to be well-defined if you allow complex values.So it wouldn't be worth it to graph the negative x values as only those work?
If you were interested in plotting the function for negative x ( using complex values, you'd be able to produce a visualisable 3D graph with negative x on the negative x-axis, and you could use the other two axes to represent and .So it wouldn't be worth it to graph the negative x values as only those work?
I'm loling so hard rite nowHow would i sketch x^x? Also, why is f(x) not defined for x<0 ? When (-2)^(-2) = 4?