1. (10 pts) For every quadratic function f(x) = ax2 + bx + c. (similar to7.0 #1-14) a. Is the function always "one-to-one" for all b's if a > 0 ? (justify your answer) b. Is the function always "one-to-one" for all b's if a = 0? (justify your answer) 2. (10 pts) Is the function f(x) = sec(x) "one-to-one" ? (justify your answer) (similar to 7.0 #1-14) 3. (10 pts) Fill in the blanks. If the graph of f(x) goes through the point (1,-3) and f' (1) = 2, then the graph of f-1(x) goes through the point ( , )and (f-])' () = ? (similar to 7.1 #14-18) 4. (10 pts) For which positive integers n is f(x) = x" "one-to-one"? Justify your answer. (7.1 #19-23) 5. (10 pts) For 0 = arctan(), find the exact values of (a) sin(0), (b) cos(0), (c) csc(0), and (d) cot(0). (similar to 7.2 #1-19) 6. (10 pts) Let - = 3 deg when 0 = 40 deg and x = 10 feet. x, y, and 0 are related by the sec equation tan(0) = -, where x is a constant. Find .(similar to 7.2 #25-32) y is in feet. t is in sec. Convert degrees to radians as the first step to doing the problem. Include units in your