Follow the seven step strategy to graph the following rational function. \( f(\mathrm{x})=\frac{6 \mathrm{x}}{\mathrm{x}-3} \) Plot points between and beyond each x -intercept and vertical asymptote. Find the value of the function at the given value of x . x \( \mathrm{f}(\mathrm{x})=\frac{6 \mathrm{x}}{\mathrm{x}-3} \) (Simplify your answer. Type an integer or a simplified fraction.)

Question Simplify: \( \sqrt[3]{-125} \) (Enter \( \varnothing \) if your answer is not a real number.)

Question Estimate \( \sqrt[3]{4} \) between two consecutive whole numbers. Provide your answer below:

Question simplify: \( \sqrt[6]{x^{18}} \)

For the following function, find the value of \( (a) f(-5) \) and (b) \( f(4) \), if possible. \( y=\left\{\begin{array}{l}x^{2}-4 \text { if } x \leq 0 \\ x^{3}+4 \text { if } x>0\end{array}\right. \) A. \( f(-5)=\square \) (Simplify your a a \( [ \) (aswer.) B. There is no solution.

\( 1 \leftarrow \quad \begin{array}{l}\text { Write the first four terms of the recursive sequence. } \\ a_{1}=6, a_{n}=5-a_{n-1} \text { for } n \geq 2\end{array} \) \( a_{1}=\square \) (Type an integer or a simplified fraction.)