Option (d)
GIven:
The function is,
[tex]y=12\sqrt[3]{x}[/tex]The general form of the equation is, y = ax^b.
The objective is to find the value of a multiplied by b.
The given function can be written as,
[tex]y=12\cdot x^{\frac{1}{3}}[/tex]Now, the given function can be written as,
[tex]y=a\cdot x^b[/tex]By comparing the equation, the value of a and b will be,
[tex]\begin{gathered} a=12 \\ b=\frac{1}{3} \end{gathered}[/tex]Now, the product of a and b can be calculated as,
[tex]\begin{gathered} a\times b=12\times\frac{1}{3} \\ a\times b=4 \end{gathered}[/tex]Hence, option (d) is the correct answer.
