For the function f(x)=2x54x3+2x , find the following:

x-intercept(s):

y-intercept:

Interval(s) of increase:

Interval(s) of decrease:

Local maximum point(s):

Local minimum point(s):

Concave up interval(s):

Concave down interval(s):

Inflection point(s):

Graph the function, showing all of the important features found above.