# How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #y=x^4-2x^3#?

##### 1 Answer

Jul 2, 2016

intercept / stationary point at x= 0 is an inflexion point

stationary point at **a relative minimum**

#### Explanation:

so the intercept and stationary point at x= 0 is an inflexion point

and the stationary point at **a relative minimum**

globally, the dominant term in the expression is

you can see all of this in the plot

graph{x^4 - 2x^3 [-10, 10, -5, 5]}