Determine Where the Graph of the Function $f ( x ) = 9 x - \sqrt { 4 - x ^ { 2 } }$

question 138

Multiple Choice

Determine where the graph of the function $f ( x ) = 9 x - \sqrt { 4 - x ^ { 2 } }$ is concave upward and where it is concave downward. Also, find all inflection points of the function. Select the correct answer.

• A) \(\mathrm { CU }\) on \(( - 2,2 )\),
• IP none
• B) \(\mathrm { CU }\) on \(( - \infty , - 2 )\) and \(( 2 , \infty ) , \mathrm { CD }\) on \(( - 2,2 )\),
• IP \(( - 2 , - 18 )\) and \(( 2,18 )\)
• C) \(\mathrm { CD }\) on \(( - 2,2 )\),
• IP none
• D) \(\mathrm { CU }\) on \(( - 2,2 ) , \mathrm { CD }\) on \(( - \infty , - 2 )\) and \(( 2 , \infty )\),
• IP \(( - 2 , - 18 )\) and \(( 2,18 )\)

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