1) Let f(a) = ac - 1 (Figure 24). Verify the following: (a) f(0) is a local max and f(2) a local min. (b) f is concave down on (-oo, 1) and concave up on (1, co). (c) lim f(a) = -co and lim f(x) = co. c-1- (d) y = a + 1 is a slant asymptote of f (x ) as x - too. (e) The slant asymptote lies above the graph of f (x) for x 1. f(x) = 10 x - y=x+1 - X -10 10 -10 FIGURE 24