Graph the rational function. \( f(x)=\frac{-4 x^{2}+12 x+12}{6 x+9} \) Start by drawing the asymptotes. Then plot two points on each piece of the grap

The range of the function \( f(x)=4 \tan ^{-1}\left(\frac{x}{2}\right) \) is

Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function. \( f(x)=6 x^{4}+7 x^{3}-x+5 \) A. The graph of \( f(x) \) rises to the left and rises to the right B. The graph of \( f(x) \) falls to the left and falls to the right. C. The graph of \( f(x) \) falls to the left and rises to the right D. The graph of \( f(x) \) rises to the left and falls to the right. A

On the interval \( [-3,4] \), the maximum vertical distance between the line \( y=x+12 \) and the parabola \( y=x^{2} \) is equal to a. \( \frac{25}{4} \) b. \( \frac{35}{2} \) d. 12

2. \( f(x)=-(x-3)^{2}-1 \)

UESTION 3 On the interval \( [-2,3] \), the maximum vertical distance between the line \( y=x+6 \) and the parabola \( y=x^{2} \) is equal to