A, C and D) Critical points. (0,10) is a maximum (i), which will allow the curve to change direction to intersect the x axis at x=1 (iv); (-3,-9) is a minimum (ii), although (iv) gives x=-3 as a zero; point of inflexion at x=-2 and this goes from concave down to concave up as x moves from less than -2 to greater than -2 (iii); the zeroes are x=-5, -3, 1 (iv); but note again that (ii) and (iv) disagree on f(-3), having f(-3)=both -3 and 0. This may be a misprint.
B) f(x) appears to increase when x>-2 to intersect the f(x) axis at f(x)=10, the local maximum. At x=-2, the curve levels off at the point of inflexion. f(x) also appears to continue to increase for x<-5 and then again between two zeroes at x=-5 and -3. After the point of inflexion at x=-2 the curve moves upward through the maximum at (0,10) to cut the x axis again at x=1 and continue with f(x)<0.
C) See above (A, C and D).
D) See above (A, C and D).
E) See B.