Find any vertical asymptotes. \( h(x)=\frac{(x-3)(x+6)}{x^{2}-4} \)

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

An equation for the slant asymptote for the graph of the function \( f(x)=\frac{2 x^{2}-x+3}{x+4} \) 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

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

Follow the seven step strategy to graph the following rational function. \( f(x)=\frac{4 x}{x-5} \) To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. origin symmetry neither \( y \)-axis symmetry nor origin symmetry A. The \( y \)-intercept is (Type an integer or a simplified fraction.) B. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)