How do you find the domain and range of #t^(1/3) #?

Question

3554 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-18T08:06:55

All real numbers

#t in RR, f(t) in RR#

We have: #f(t) = t^(frac(1)(3))#

#Rightarrow f(t) = root(3)(t)#

Both the domain and range of cubic functions are the set of all real numbers, i.e. #t in RR, f(t) in RR#.

tarantamath.pbworks.com

From the above graph, it is clear that the graph infinitely spreads across the axes (because of the arrows).

Source: Tarantamath. Graph of basic cubic function. Digital image. Tarantamath. PBworks, n.d. Web. 18 May 2017.