Suppose the following is a graph of z = g(y). Which of the following can then be said about the solution y = f(t) to the initial value problem $y ^ { \prime } = g ( y ) ; \quad y ( 0 ) = - 1$ ?
(I) f(t) is an increasing function
(II) f(t) is always positive
(III) f(t) has an inflection point when y = 2.
A) III only
B) I, II, and III
C) I only
D) II only
E) I and III

Question

Suppose the following is a graph of z = g(y).  Which of the following can then be said about the solution y = f(t) to the initial value problem $y ^ { \prime } = g ( y ) ; \quad y ( 0 ) = - 1$ ? 
(I) f(t) is an increasing function
(II) f(t) is always positive
(III) f(t) has an inflection point when y = 2.
A) III only 
B) I, II, and III 
C) I only 
D) II only 
E) I and III

Quizplus · Accepted Answer

The Answer of Suppose the following is a graph of z = g(y).  Which of the following can then be said about the solution y = f(t) to the initial value problem $y ^ { \prime } = g ( y ) ; \quad y ( 0 ) = - 1$ ? 
(I) f(t) is an increasing function
(II) f(t) is always positive
(III) f(t) has an inflection point when y = 2.
A) III only 
B) I, II, and III 
C) I only 
D) II only 
E) I and III

Suppose the Following Is a Graph of Z = G(y) y′=g(y);y(0)=−1y ^ { \prime } = g ( y ) ; \quad y ( 0 ) = - 1y′=g(y);y(0)=−1

Suppose the Following Is a Graph of Z = G(y) $y ^ { \prime } = g ( y ) ; \quad y ( 0 ) = - 1$