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

question 142

Multiple Choice

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

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