Consider the Differential Equation $y ^ { \prime }$ = G(y) Where G(y) Is the Function Whose Graph Is

Multiple Choice

Consider the differential equation $y ^ { \prime }$ = g(y) where g(y) is the function whose graph is shown below:
Indicate whether the following statements are true or false.
-Let $y ^ { \prime }$ = $y ^ { 3 }$ . Which of the following properties hold for the solution y = f(t) determined by the initial condition y(0) = -2? (I) It is always increasing.
(II) It has an inflection point.
(III) It is always concave down.

A) I only
B) I and II
C) II only
D) III only
E) none of these