Answer the Question $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$

question 201

Multiple Choice

Answer the question.
-Determine the function $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$ so that its graph contains the points $( - 1,2 ) , ( 0,6 ) , ( 1,16 )$ , and $( 2$ , 50) .

• A) \(f ( x ) = 3 x ^ { 3 } + 3 x ^ { 2 } - 4 x - 6\)
• B) \(f ( x ) = 3 x ^ { 3 } + 3 x ^ { 2 } + 4 x + 6\)
• C) \(f ( x ) = 3 x ^ { 3 } + 4 x ^ { 2 } + 3 x + 6\)
• D) \(f ( x ) = 4 x ^ { 3 } + 4 x ^ { 2 } + 4 x + 6\)

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