# Clarification on this function

• March 9th 2011, 03:07 PM
youngb11
Clarification on this function
I'm trying to draw the graph of the function $f(x)=(x-4)^{\frac{2}{3}}$ and I'm a little confused. Firstly, is the y-intercept:

$=(-4)^{\frac{2}{3}}$
$=16^{\frac{1}{3}}$?

Because when I entered this function into an online graphing calculator, it showed the graph only existing on $x>4$. I also tried inputting it on WolframAlpha and got to a completely different graph: http://www.wolframalpha.com/input/?i=(x-4)^(2/3)
• March 9th 2011, 04:31 PM
skeeter
• March 9th 2011, 04:46 PM
youngb11
Thanks! So was I right about the y-intercept? Because the graphs on both the online graphing calculator and Wolfram were different.
• March 9th 2011, 04:58 PM
skeeter
you need to get a graphing calculator or download this free grapher ...

Graph
• March 9th 2011, 05:03 PM
skeeter
TI-84 graph ...