# The function #f: f(x)=x^3+6x+2# is increasing when #x# belong to .......?

##### 2 Answers

May 1, 2018

The given function is monotonically increasing when x belongs to the set of real numbers(

#### Explanation:

(Also,

Clearly, f(x) increases as x increases.

graph{y = x^3 + 6x + 6 [-58.5, 58.5, -29.25, 29.3]}

May 1, 2018

The function is increasing

#### Explanation:

The function is

The derivative is

The critical points are when

As

Therefore,

The function is increasing

The second derivative is

There is a point of inflection at

graph{x^3+6x+2 [-2.48, 2.995, 0.721, 3.461]}