138 MTH 31 19. LIMITS AT INFINITY; HORIZONTAL ASYMPTOTES (1) Let f be a function defined on some interval (a, co). Then lim, too f (I) = L means that (2) Let f be a function defined on some interval (-co, a). Then lim,+ . f(I) = L means that (3) The line y = L is called a horizontal asymptote of the curve y = f(x) if (4) Draw the graph of a function satisfying . f(0) = 1, . lim im1 4-co f (I) = 2, . limz-+-3- f(x) = 00, . limz-+ 3+ f(I) = -00, . lim1-+2 f(x) = -00, . limz-too f (I) = -3. List all the asymptotes you see in this graph