You are given the graph of a functionf.Thexy-coordinate plane is given. A curve and 2 vertical lines are graphed.

• A vertical line crosses thex-axisatx=4.
• A vertical line crosses thex-axisatx= 4.
• The curve with 3 parts enters the window just above thexaxis, goes up and right becoming more steep, exits almost vertically just to the left ofx=4,reenters almost vertically just to the right ofx=4,goes up and right becoming less steep, changes direction at the point(0,0.5),goes down and right becoming more steep, exits almost vertically just to the left ofx= 4,reenters almost vertically just to the right ofx= 4,goes down and right becoming less steep, and exits the window just above thexaxis.

Determine the intervals where the graph offis concave upward and where it is concave downward. (Enter your answers using interval notation.)

concave upward:________________

concave downward: _______________

Find the inflection point off, if any. (If an answer does not exist, enter DNE.)(x,y) =