You have a choice of equations to analyze for this assignment. Please select one of the following 4 equations. (1) f (2) = 2x-3 (2) f ( 20 ) = 2 2 -4 x+4 x2 +8x+12 (3) f ( a) = 2 2 + 5 3x (4) f (20 ) = 1. State the domain of the function using interval notation. 2. Find any holes or vertical asymptotes, or state if there are none and why. o Use limits to verify vertical asymptotes an identify behavior near the asymptote. 3. Find the end behavior using lim x - co f (x) and lim x - -co f (x). 4. Find any horizontal or slant asymptote, or state if there is none and why. 5. Find the derivative. 6. Find the intervals where the function is increasing and decreasing and state them using interval notation. 7. Find all extreme values (local and global) or state if there are none and why. 8. Sketch a graph of the function by hand and label any asymptotes and critical points that exist. o Label all asymptotes, extreme values, and increasing/decreasing intervals