The set of values of for which the function possesses a negative point of inflection is

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The set of values of

a

for which the function

f(x)=\frac{ax^3}{3}+(a+2)x^2+(a-1)x+2

possesses a negative point of inflection is (1)

(-\infty,-2)\cup(0,\infty)

(2)

\left\{-\frac45\right\}

(3)

(-2,0)

(4) Empty set