find interval

[Target MA]

On which of the following interval(s) must the function f (x) = 2+x2 −x3 have a root?
a) [1, 2] c) [−1, 0]
b) [2, 3] d) [0, 1]

[maahi]

[1,2 ] caculate f(1) , f(2) u ll see it changes sign frm +ve to -ve and hence must intersect d x axis and be its root .

[Mauli]

is it x2 or x^2 and x3 or x^3?