Question

given the function f(x)= x^3-3x^2-1,
find the intervals where the function is increasing and where its decreasing. please show it in interval notation.

Answer 1

did you take the derivative?

Answer 2

no

Answer 3

that is what you need to do first, unless this is not a calculus course

Answer 4

it is.

Answer 5

then that is what you need to do
once you have it, it will be a quadratic (degree 2) and in fact it will factor, so it should be easy to tell where the derivative is positive (and so where the function in increasing)

Answer 6

ok I got it, its increasing from -inf. to 0, dec. from 0-2, and inc. form 2 to +inf

Answer 7

is that right?