

f(x) = 1/x^4


Explain why the range of the function above is  (0,∞)

 Jan 29, 2019

f(x)  = 1 / x^4


Notice that  the unction is not defined at x = 0


But as x gets very close to 0  .......the numerator of the fraction is much greater than the denominator......and the range goes to infinity


As x moves out both ways from 0 to some large neg / pos   x values....the denominator is much larger than the  numerator........and the y value of the function approaches 0  in both directions


So....the range is (0, inf )



cool cool cool

 Jan 29, 2019

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