SOLUTION: I need some help with this problem. I missed the class that showed me how to find the x-intercept (both with calculator and not). I have found the y-intercept of the function just

Algebra ->  Graphs -> SOLUTION: I need some help with this problem. I missed the class that showed me how to find the x-intercept (both with calculator and not). I have found the y-intercept of the function just       Log On


   



Question 989188: I need some help with this problem. I missed the class that showed me how to find the x-intercept (both with calculator and not). I have found the y-intercept of the function just not the x. Please help me find the x-intercept and please show work.
f(x)=4(cubed root x)
Y-intercept= (0,0)
x-intercept=?
Thank you!

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = y = 4 * x^(1/3)
now solve for x
divide both sides of = by 4
x^(1/3) = y/4
now cube both sides of the =
x = y^3 / 64
now if y = 0 then x = 0
the x intercept is 0
note that the y intercept is 0 also
you can see this from the graph of y = 4 * x^(1/3)
+graph%28+300%2C+200%2C+-2%2C+2%2C+-1%2C+5%2C+4+%2A+x%5E%281%2F3%29+%29+