Identify the asymptotes, domain, and range of each function. 1. f(x) t 2. y (() = 2+4 O -4 2 4 x -2 f(x) = -2 -2 0 2 X Graph each function. State the domain and range. 3. A(x) = - 1 3 x+3 4. f(x) = -1 6 x + 5 f(x) ff(x) O X O\f10. RACE Kate enters a 120-mile bicycle race. Her basic rate is 10 miles per 14 hour, but Kate will average x miles per hour faster than that. Write and graph an equation relating x (Kate's speed beyond 10 miles per hour) to 10 the time it would take to complete the race. If she wanted to finish the race in 4 hours instead of 5 hours, how much faster should she travel? N & 2 4 6 8 10 12 14 X 11. BIOLOGY A rabbit population follows the function P(t) =, + 10, with P(t) equal to the rabbit population after t months. Eventually, what happens to the rabbit population? 12. COMPUTERS To make computers, a company must pay $5000 for rent and overhead and $435 per computer for parts. a. Write the equation relating average cost to make a computer to how many computers are being made. C b. Graph the function you found in part a. 700 600 500 400 300 200 100 O 10 20 30 40 50 60 70 n c. What is the minimum number of computers the company needs to make so that the average cost is less than $685?\fT. NEWTON Sir Isaac Newton studied the rational function _ (13:73 +bx2+cx+d fiX) - 3: Assuming that d i [L where will there he a vertical asymptote to the graph of this function? 8. GRAPHS Alma graphed the function x2 4x K902? There is a problem with her graph. Explain how to correct it