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

question 110

Multiple Choice

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

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