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1. For which of the following does

1. For which of the following does. A) y = x 3 B) y = x 2 C) y = sin x D) y = e x. 2. f(x) = f(-x). A) y = ln x B) y = sin x C) y = tan x D) y = cos x. 3. Which function has an inverse?. A) y = sin x B) y = ln x C) y = x 2 D). 4. The domain for y = e x+ 1.

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1. For which of the following does

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  1. 1. For which of the following does • A) y = x3 • B) y = x2 • C) y = sin x • D) y = ex

  2. 2. f(x) = f(-x) • A) y = ln x • B) y = sin x • C) y = tan x • D) y = cos x

  3. 3. Which function has an inverse? • A) y = sin x • B) y = ln x • C) y = x2 • D)

  4. 4. The domain for y = ex+1 • A) • B) • C) x > 0 • D) all real numbers

  5. 5. The domain for y = ln(x + 2) – 3 • A) x > 2 • B) x > -3 • C) All real numbers • D)

  6. 6. Simplify • A) cannot be simplified • B) –2 • C) –1 • D) ½

  7. 7. Find the inverse of y = (x+2)2 –3 • A) • B) • C) • D) Doesn’t have an inverse

  8. 9. • A) ½ • B) – ½ • C) • D) -

  9. 10. Which graph has an asymptote at x = 2 • A) y = ln (x – 2) • B) y = ln (x + 2) • C) y = ex - 2 • D) y = ex + 2

  10. 11. If f(x) = 3x + 2 and g(x) = -x + 4, find f(g(x)) • A) 2x + 6 • B) -3x + 2 • C) -3x + 14 • D) -3x2 + 10x + 8

  11. 8. Which function is guaranteed to have an inverse • A) one that is periodic • B) one that is odd • C) one that is continuous • D) One whose derivative is always negative

  12. f ‘ Where does f have a maximum?

  13. f ‘ Where is f increasing?

  14. f ‘ Where is f “ negative?

  15. f ‘ Where are inflection points on f

  16. f ‘ Where is f concave up?

  17. f ‘ Write equation of the tangent line of f at (2, 6)

  18. F E G A D C B Where is f ‘ positive, f “ negative?

  19. F E G A D C B Where is f ‘ = 0, f “ positive?

  20. F E G A D C B f ’ and f “ negative

  21. F E G A D C B f ‘ positive, f “ = 0

  22. If the derivative of f is always greater than the derivative of g, how many times will the graphs of f and g intersect?

  23. Evaluate:

  24. Evaluate:

  25. What do you know about f based on the above limit?

  26. What are the requirements of a function to be continuous at a point?

  27. If a function is differentiable then it is continuous.True or False

  28. Find the derivative of

  29. Find the derivative of

  30. Find the derivative of

  31. Find the derivative of

  32. Find the derivative of

  33. Where does y = x3 + 6x2 – 4x + 7 have a point of inflection?

  34. What is the derivative of y at 2?

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