Problems Each problem number below lists the types of graphs/curves you need to use in your systems of equations. For each problem, you will produce parts (letters a,b,c,d...) which correspond to each possible number of solutions of such a system. Part a is a system with O solutions, part b has 1 solution, and so on. For example, a system of equations consisting of a line and a circle, with two solutions, would be your answer for #4c. If you can't find a system for a certain part, present something you tried and why you think that number of solutions is impossible. For each problem, you should also explain why there cannot be more solutions than the highest number of solutions you found. = Two distinct lines A line and a parabola Two distinct parabolas Aline and a circle A line and a cubic A parabola and a circle A line and the graph of a basic exponential functionof x: y=56",b>0,b#1 A parabola and the graph of a basic exponential functionof x: y=b",b>0,b#1 W e NOUMAEWN A line and the graph of xy =1 10. A parabola and the graph of xy =1 8. A parabola and the graph of a basic exponential X function of x (0 Solutions) 8. A parabola and the graph of a basic exponential X A function of x (1 Solutions) 8. A parabola and the graph of a basic exponential X function of x (2 Solutions) 2 8. A parabola and the graph of a basic exponential X function of x (3 Solutions) -8 -6 -4 -2 0 6 8 10 12 14 10. A parabola and the graph of xy = 1 (0 Solution) X 10. A parabola and the graph of xy = 1 (1 Solution) X -2- 10. A parabola and the graph of xy = 1 (2 Solution) X X -4 10. A parabola and the graph of xy = 1 (3 Solution) -6