all questions from 1 to 8

1.5 . 1. Graph the functions [a)y=16+2x (b)y=8-2x (c) y=2x+12 [In each case, consider the domain as consisting of nonnegative real numbers only.) 2. What Is the major difference between (a) and (b) in Prob- 1? How is this difference re- flected in the graphs? What is the major difference between (a) and (c)? How do their graphs reflect it? Chapter2 Economic Mmfr'fs 2 3. Graph the functions (o)y=x2+5x_2 (b)y=x2+5x2 with the set of values 5 5 x 5 5 constituting the domain. It is well known that the sign of the coefficient of the x2 term determines whether the graph of a quadratic func- tion will have a \"hill" or a "valley." On the basis of the present problem, which sign is associated with the hill? Supply an intuitive explanation for this. 4. Graph the function y = 363%, assuming thatxand y can take positive values only. Next, suppose that both variables can take negative values as weil; how must the graph be modified to reect this change in assumption? 5. Condense the foilowing expressions: (a) x4 x x\" (b) x\" x x" x x\" (c) x3 x123 x z3 6. Find: (a) x31x'3 (b) [3'12 x WW)?\" . Show that KW\" = Vi == (WW- Specify the rules applied in each step. 8. Prove Rule VI and Rule VII. I NI