A few days ago, my teacher and I had a disagreement about end model behaviors. There was a question on the test asking for the two end model behaviors of the following function: http://img219.imageshack.us/my.php?image=graph1be.gif My answers were 2^x for the REMB and -x*sin(x) for the LEMB. He claims that the only choices for the LEMB are -x and sin(x). His logic is not mathematically sound, because the sin(x) and -x have an equal effect on the graph. He simply claims it "looks more like sin(x)" becuase f(x)=-x does not have a wave-like look to it. At the same time, he admits that sin(x) does not have a growing amplitude. He says that it can't be -x*sin(x) because they are separated by multiplication. I also disagree with him because on another EMB problem, the correct answer was 3x. According to his logic on the aforementioned problem, the choices should be "3" or "x", yet on this one he agrees with 3x. What do you guys think?