TEST B Chapter 2 (continued) NAME 7. (a) Find the vertical asymptotes of the graph of 7. (a) x - 1 ( b ) f ( x ) = x2 + 2x - 8 (b) Describe the behavior of f(x) to the left and right of each vertical asymptote. 8. For the function y = 3x2 - 5x + 7 *, find: 8. (a) (a) a simple basic function right end behavior model, and ( b ) (b) a simple basic function left end behavior model. 9. Find the points of discontinuity of the function 9 x2 - 3x - 4: x2 - 7x + 12' . For each discontinuity, identify the type of discontinuity (removable, jump, infinite, or oscillating ). .37 10. Find a value m so that the function 10. 8(x). = mx + 4, x 5 37 (x2 - 11, x> 32 is continuous. 11. Sketch a possible graph for a function f, where 11. lim f(x) exists, f(3) = 1, and f is not continuous at x = 3. [-4, 4] by [-3, 3] . . 12. Use the concept of composite functions to explain why 12. h(x) = sin(x'+ 2x - 3) is a continuous function. . . 13. Find the average rate of change of the function 13. f(x) = 2x3 - 5x + 3 over the interval [-2, 1]. 14. For the function f(x) = x2 - 4 at the point (4, 12), find 14. (a). (a) the slope of the curve ( b ) SKIP. (b) an equation of the tangent line (c) SKIP of an equation of the normal line 15. The equation for free fall at the surface of the moon 15. " SKIP is s = 31.8t2 in. with t in sec. Assume a rock is dropped from the top of a 12;000-in. cliff. Find the speed of the rock at t = 4 sec. . 2007 Pearson Education, In