Find the Points of Inflection and Discuss the Concavity of the Function

question 10

Multiple Choice

Find the points of inflection and discuss the concavity of the function $f ( x ) = x \sqrt { x + 16 }$

• A) no inflection points; concave up on \(( - 16 , \infty )\)
• B) no inflection points; concave down on \(( - 16 , \infty )\)
• C) inflection point at \(x = 16\); concave up on \(( - 16 , \infty )\)
• D) inflection point at \(x = 0\); concave up on \(( - 16,0 )\); concave down on \(( 0 , \infty )\)
• E) inflection point at \(x = 16\); concave down on \(( - 16 , \infty )\)

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