Question

for the function f(x)=x^4-2x^2,determine how many intervals there are in which the function is increasing

Answer 1

from the graph

Answer 2

a derivative would be useful; but i aint sure you are that far yet

Answer 3

nope

Answer 4

then we might need to factor it

Answer 5

2 intervals [-1,0) U (1,infinity)

Answer 6

x^2(x^2 - 2) = 0

x^2 (x-sqrt(2)) (x+sqrt(2)) = 0; when x = 0, +- sqrt(2) but not sure how that helps yet :)