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Determine Where the Graph of the Function f(x)=3+4x1/3f(x)=3+4 x^{1 / 3}

Question 142

Multiple Choice

Determine where the graph of the function f(x) =3+4x1/3f(x) =3+4 x^{1 / 3} is concave upward and where it is concave downward. Also, find all inflection points of the function.


A) CU on (,0) (-\infty, 0) , CD on (0,) (0, \infty) ,
IP (0,7) (0,7)
B) CU on (,0) (-\infty, 0) , CD on (0,) (0, \infty) ,
IP (0,3) (0,3)
C) CU on (0,) (0, \infty) , CD on (,0) (-\infty, 0) ,
IP (0,7) (0,7)
D) CU on (0,) (0, \infty) , CD on (,0) (-\infty, 0) ,
IP (0,3) (0,3)

Correct Answer:

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