5. (a) What does it mean to say that the line cc 2 a is a vertical asymptote of the curve y = f (m) ? Draw curves to illustrate the various possibilities. (b) What does it mean to say that the line y = L is a horizontal asymptote of the curve 3/ = f(m) ? Draw curves to illustrate the various possibilities. \f12. If y = f(:c) and :1: changes from $1 to 1:2, write expressions for the following. (a) The average rate of change of y With respect to a: over the interval [331, 232] (b) The instantaneous rate of change of y with respect to a: at as = x1 6. Which of the following curves have vertical asymptotes? Which have horizontal asymptotes? (ah/=964 (b)y = sina: (c)y= tanw (d)y = tanla: (e)y=e\"\" (DZ/=1nm (g)y= 1/96 (h) y = x/E 7. (a) What does it mean for f to be continuous at a ? (b) What does it mean for f to be continuous on the interval (00, 00)? What can you say about the graph of such a function