2. What is the range of \( f(x)=\frac{x-2}{x+3} \) ?

Prealculus \( \begin{array}{ll}\text { Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. } \\ \text { 1) } y=\cos 4 \theta & \text { 2) } y=5 \sin 7 \theta\end{array} \)

Graph the logarithmic function \( g(x)=-3-\log _{4} x \). To do this, plot two points on the graph of the function, and also draw the asymptote. Additionally, give the domain and range of the function using interval notation.

How many turning points can a polynomial of degree 5 have at most?

Plot the graph of each of the following functions and determine their domains and ranges: (a) \( f(x)=2 x^{2}-8 \) (b) \( g(x)=3 x+5,-1<x \leq 4 \) (c) \( h(x)=\left\{\begin{array}{ll}x^{2} & x>0 \\ 2, & x=0 \\ 1-x, & x<0\end{array}\right. \)

For the hyperbola \( x^{2}-y^{2}=64 \). Identify the center, vertices, foci, and the asymptotes.