I need help to see if my diagram i made at home is correct. I wrote my observations and if someone can include a diagram it would be greatly appriciated

Sketch the graph of a continuos function that satisfies all of the following conditions:

f'(x)>0 if /x/ <2 {/x/= absolute value of x}

f'(x)<0 if /x/ >2

f'(2)=0

lim as x approaches positive infinity f(x)=2

f(-x)=-f(x)

f''(x) if 0<x<3

f''(x)>0 if x>3

soo i got the following

- increasing from (-2,2)

-decreasing from (-infinity,-2)

-hoizontal tanget at x=2

-vertical asyp at x=2

-odd function

-concave down from (0,3)

-concave up from(3, infinity)