Use a System of Equations to Find the Cubic Function $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$

question 27

Multiple Choice

Use a system of equations to find the cubic function $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$ that satisfies given equations. Solve the system using matrices.
$\begin{aligned}f ( 2 ) & = - 26 \\f ( - 2 ) & = 6 \\f ( 1 ) & = 0 \\f ( - 1 ) & = - 2\end{aligned}$

• A) \(a = 2 , b = - 2 , c = 1 , d = - 1\)
• B) \(a = - 26 , b = 6 , c = 0 , d = - 2\)
• C) \(a = - 3 , b = - 3 , c = 4 , d = 2\)
• D) \(a = - 26 , b = 30 , c = - 12 , d = 16\)
• E) \(a = 50,598 , b = - 54,650 c = - 730 , d = 518\)

Apply assumptions and conditions for hypothesis testing to ensure the validity of test results.

Analyze data from surveys to make informed decisions about policy or program implementations.

Understand the concept of hypothesis testing in statistics.

Calculate and interpret the power of a test in different scenarios.

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