MAC 2311 Midterm: MAC2311 F95 Test 2
Document Summary
Instructions: do not write your answers on this paper, use separate answer sheets. To receive credit, you must show all work: (10 pts. ) Find a value for a that makes the function continuous f (x) = (cid:26) sin x. A cos x if if x 0 x > 0: (10 pts. ) Verify that f (x) = x3 4x2 + 5x 1 has a root between 0 and 1: (10 pts. ) For each of the following nd lim x f (x) and lim x f (x). If f (x) has no horizontal asymptote, nd cxk such that f (x) cxk for |x| large. (a) f (x) = 7x8 x3 + x + 1 (b) f (x) = x7 3x4 + 1. 2x3 x + 13: (10 pts. ) Figure 5 gives the graph of y = f (x). Sketch the graph of y = f (x): (15 pts. )