SOLUTION: in which poin this function is growing f( x) = x^2(x – 4)^2 thanks

Algebra ->  Functions -> SOLUTION: in which poin this function is growing f( x) = x^2(x – 4)^2 thanks      Log On


   

Question 638495: in which poin this function is growing
f( x) = x^2(x – 4)^2
thanks
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2%28x-4%29%5E2

f%28x%29=x%5E2%28x%5E2-8x%2B16%29


f%28x%29=x%5E4-8x%5E3%2B16x%5E2

+graph%28+600%2C+600%2C+-5%2C+10%2C+-5%2C+20%2Cx%5E4-8x%5E3%2B16x%5E2%29+
as you can see, this function has one min at (0,0) and another one
at (4,0)
max is at (2,16)
so, this function is growing from x=0 to x=2 and from x=4 to x=infinity