Question 2 Make a neat sketch of the graph of function f that satisfies all of the following. Be sure to label al the important points. For f' and...

make a neat sketch of the graph of function f that satisfies all of the following.

Question 2 Make a neat sketch of the graph of function f that satisfies all of the following. Be sure tolabel al the important points. For f' and f" you may find sign charts to be quite useful. (8 marks)f(1) = f(3) = 0; f '(3) = 0; f(0) = 1; f is. continuous everywhere except at 2f '(x) > 0 on (3, co); f '(x) < 0 on (-co,2) U(2,3);f "(x)> 0 on (2,4); f"(x) <0 on (-co,2) U(4, co);lim f (x) = -oo; lim f (x) = too; lim f (x) = 2; lim f (x) = 2.x-+2"x-+2+x-+-0