Consider the function y = x ^(3) - 3xFind the intervals the function is increasing. Express your answer in interval notation (a,b)

Question

Consider the function
`y = x ^(3) - 3x`Find the intervals the function is increasing. Express your answer in interval notation (a,b)

Answer 1

The given expression is

`y=x^3-3x`

To know the intervals where this function is increasing, we graph it

As you can see from the graph, the increasing intervals are

`I=(-\infty,-1)\cup(1,\infty)`