Choose the correct answer in each item. 1. For x #4, the function is equal to + x- 20 X-4 -. What value should be assigned to h(4) to make h(x) continuous at x = 4? A. -1 B. 0 C. 5 D. 9 2. What is the actual limit given lim ; x - 3 1 3 x2-9 X 2.9 2.99 2.999 3 3.001 3.01 3.1 (x) 0.1695 0.1669 0.1667 ? 0.1666 0.1664 0.1639 A. B. C. D. - 3. What is the value of the lim 2x3 + 5x2 - 3 for x = 0. ? X-0 A. 0 B. - 1 C. -2 D. -3 4. What is lim /(x) = lim (x2 + 3) A. 4 B. 5 C. 6 D. -4 5. What is lim A. 0 B. 2 C. Does not exist D. -2 6. What is lim -? X-0 x2-x A. 0 B. - 1 C. -2 D. 1 7. What is lim - X-4 X2-16 A. = C. - 8. What is lim x-+2x-8, X-2 x2-x-2 A. 1 B. -1 C. 2 D. -2 9. What is lim V2 + x - v27 x A. VS B. V6 C. V3 D. YZ 10. Compute for the lim *+47 1+4 x-4 A. 1 B. O C. undefined D. 2 11. Evaluate: lim 3x*-2x2+7, X-1 5x3+x-3 A. Undefined B. Infinite C. -8 D. 812. Find the limit of lim x-4+ 22X-1 A. 641 B. - 641 C. - 128 128 D. 128 128 641 13. Find the limit lim (log2 (3x - 5 ) + 2). x-2 A. 1 B. 2 C. 3 D. 4 14. Which of the following does not shows continuity of a function at constant c? A. There is no interruption in the graph of f(x) at c. B. There is a hole, jump or gap at x=c. C. Upon tracing the graph of a function, you will not lift your pen at x=c. D. Graph is possible at any values of x=c. 15. Which of the following is not a condition for continuity of a function? A. f(c) exists. B. lim f (x) exists. x-c' C. f(c) = lim f (x) = lim f (c) D. At least one of the three conditions met. 16. Which of the following graph shows continuity? A. C. 10 -10 B. D. -15 17. f(x) = x2-5 is continuous at x = -3. A. Yes B. No C. Maybe D. Cannot determine 18. f(x) = is continuous at x = 5. A. Yes B. No C. Maybe D. Cannot determine 19. In which value of x will make f(x) = * x discontinuous? *+1 A. 1 B. -1 C. 5 D. 2 20. In the given graph, which of the following interval the function is continuous? III O(-2.2). (3,0) (-2,-1) -1 (3. -1) -21 A. [-4,-2] B. (-3,-1) C. [-1,3] D. (1,4) For numbers 10-12. Given: y = 5x + 2 atx = -2 21. What is the slope? A. 5 B. -8 C. 12 D. -7 22. What is yo? A. 5 B. -8 C. 12 D. -7 23. Find the equation of the tangent line. A. y + 8= 5 (x+2) B. y - 8= -8(x+2) C. y + 5 = 12(x+2) D. y -12 = -7(x+2) 24. Find the derivative of x3 - x2 + x + 1. A. x2 - x+1 B. 3x2 - 2x + 1 B. 3x2 - x D. x3 - 2x 25. Find the derivative of -2x2 + 5. A. -4x + 5 B. -2x + 5 C. -4x D. -2x 26. Find the derivative of cos 5x - 3. A. sin 5x -3 B. 5 sin 5x -3 C. -sin 5x -3 D. -5 sin 5x -3 27. Find the derivative of 4(x2 + 3) 5. A. 20x(x2 + 3)4. B. 40x(x2 +3)4 C. 40x2(x2 + 3)4 D. 20x2 (x2 + 3)+ 28. Find the derivative of tan x2 + 3. A. sec2 x2 + 3 B. 2x sec2 x2+ 3 C. 2 sec2 x2 + 3 D. x2 sec2 x2 + 3 29. Find the derivative of (5x4 - 10) 5. A. 100x3(5x* - 10)+ B. 100x * (5x* - 10)+ C. 100x5 - 10(5x4 - 10)+ D.100x3 - 10(5x4 - 10)+ 30. Find the derivative of vx - 3. A. ZX-3 B. C. THE D. III O