Question 46776
f(x) = root 4 of 1 - x^2
f(x)= root 4 of (1 - x)(1 + x)
You can not take a fourth root of a negative number.
{{{1 - x >= 0}}}
{{{-x >= -1}}}
{{{x <= 1}}}
Check: (1 - x)(1 + x) = (1 + 2)(1 - 2) = (3)(-1) = -3 Nope
{{{1 - x <= 0}}}
{{{-x <= -1}}}
{{{x >= 1}}}
Check: (1 - x)(1 + x) = (1 - 2)(1 + 2) = (-1)(3) Nope
We know that one and negative one will work:
Domain: {x|{{{1>=x>=-1}}}}
{{{graph(600,600,-10,10,-10,10,(1-x^2)^(1/4))}}}