We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

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

16 Online Users