Cruz Greene
02/24/2024 · Primary School
\( f ( x ) = \left\{ \begin{array} { l l } { a x ^ { 3 } + 1 } & { x \leq 1 } \\ { 6 x + 3 } & { x \geq 1 } \end{array} \right. \)
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The function \( f(x) \) is defined piecewise with two formulas: \( ax^3 + 1 \) for \( x \leq 1 \) and \( 6x + 3 \) for \( x \geq 1 \). To solve problems involving this function, evaluate the appropriate piece based on the value of \( x \), find derivatives, solve inequalities or equations, or analyze the function's behavior.
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