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DiffCalculus Week 3

Estas son la mayoría de las transparencias de mi curso de Cálculo Diferencial del semestre Agosto-diciembre de 2012.

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DiffCalculus Week 3

  1. 1. Week 3 1. Opener. Answer the followingviernes, 24 de agosto de 12
  2. 2. 2. What is a logarithm? Remember that means “to what power should I rise a to get b”.viernes, 24 de agosto de 12
  3. 3. 2. Logarithmic Equations. Solve the equationsviernes, 24 de agosto de 12
  4. 4. 2. Logarithmic Equations. Solve the equations x=8viernes, 24 de agosto de 12
  5. 5. 2. Logarithmic Equations. Solve the equations x=8viernes, 24 de agosto de 12
  6. 6. 2. Logarithmic Equations. Solve the equations x=8 x = 11/2viernes, 24 de agosto de 12
  7. 7. 2. Logarithmic Equations. Solve the equations x=8 x = 11/2viernes, 24 de agosto de 12
  8. 8. 2. Logarithmic Equations. Solve the equations x=8 x = 11/2 x = e-1/2viernes, 24 de agosto de 12
  9. 9. 3. Exponential Equations. Solve the equationsviernes, 24 de agosto de 12
  10. 10. 3. Exponential Equations. Solve the equations x=4viernes, 24 de agosto de 12
  11. 11. 3. Exponential Equations. Solve the equations x=4viernes, 24 de agosto de 12
  12. 12. 3. Exponential Equations. Solve the equations x=4 x = -1viernes, 24 de agosto de 12
  13. 13. 3. Exponential Equations. Solve the equations x=4 x = -1viernes, 24 de agosto de 12
  14. 14. 3. Exponential Equations. Solve the equations x=4 x = -1 x=3viernes, 24 de agosto de 12
  15. 15. 4. Basic Graphs of Functions. Sketch the graph of the following functions. 1. y = x 2. y = x 2 3. y = x 3 4. y = x 4 5. y = 1 x 6. y = x 7. y = 3 x 8. y = x 9. y = a x 10. y = log a xviernes, 24 de agosto de 12
  16. 16. viernes, 24 de agosto de 12
  17. 17. 1. Exercise. Sketch the following functions. Find the domain, range and asymptotes (if any).viernes, 24 de agosto de 12
  18. 18. 2. Transformation of Functions. If we have a function f(x), what happens if we have 1. f(x) + a 2. f(x) - a 3. f(x + a) 4. f(x - a) 5. - f(x) 6. f(-x)viernes, 24 de agosto de 12
  19. 19. 2. Transformation of Functions. If we have a function f(x), what happens if we have 1. f(x) + a Shifted upward a units 2. f(x) - a 3. f(x + a) 4. f(x - a) 5. - f(x) 6. f(-x)viernes, 24 de agosto de 12
  20. 20. 2. Transformation of Functions. If we have a function f(x), what happens if we have 1. f(x) + a Shifted upward a units 2. f(x) - a Shifted downward a units 3. f(x + a) 4. f(x - a) 5. - f(x) 6. f(-x)viernes, 24 de agosto de 12
  21. 21. 2. Transformation of Functions. If we have a function f(x), what happens if we have 1. f(x) + a Shifted upward a units 2. f(x) - a Shifted downward a units 3. f(x + a) Shifted left a units 4. f(x - a) 5. - f(x) 6. f(-x)viernes, 24 de agosto de 12
  22. 22. 2. Transformation of Functions. If we have a function f(x), what happens if we have 1. f(x) + a Shifted upward a units 2. f(x) - a Shifted downward a units 3. f(x + a) Shifted left a units 4. f(x - a) Shifted right a units 5. - f(x) 6. f(-x)viernes, 24 de agosto de 12
  23. 23. 2. Transformation of Functions. If we have a function f(x), what happens if we have 1. f(x) + a Shifted upward a units 2. f(x) - a Shifted downward a units 3. f(x + a) Shifted left a units 4. f(x - a) Shifted right a units 5. - f(x) Reflected about the x-axis 6. f(-x)viernes, 24 de agosto de 12
  24. 24. 2. Transformation of Functions. If we have a function f(x), what happens if we have 1. f(x) + a Shifted upward a units 2. f(x) - a Shifted downward a units 3. f(x + a) Shifted left a units 4. f(x - a) Shifted right a units 5. - f(x) Reflected about the x-axis 6. f(-x) Reflected about the y-axisviernes, 24 de agosto de 12
  25. 25. 3. Homework 3 Blackboard -> Assignmentsviernes, 24 de agosto de 12
  26. 26. Practice with Graphical Analysis Domainviernes, 24 de agosto de 12
  27. 27. Practice with Graphical Analysis Domain =Rviernes, 24 de agosto de 12
  28. 28. Practice with Graphical Analysis Domain =R Rangeviernes, 24 de agosto de 12
  29. 29. Practice with Graphical Analysis Domain =R Range =viernes, 24 de agosto de 12
  30. 30. Practice with Graphical Analysis Domain =R Range =viernes, 24 de agosto de 12
  31. 31. Practice with Graphical Analysis Evaluate f(0) Evaluate f(0) - f(1) Evaluate f(f(0))viernes, 24 de agosto de 12
  32. 32. Practice with Graphical Analysis Evaluate f(0) =3 Evaluate f(0) - f(1) Evaluate f(f(0))viernes, 24 de agosto de 12
  33. 33. Practice with Graphical Analysis Evaluate f(0) =3 Evaluate f(0) - f(1) = 3 - 2 = 1 Evaluate f(f(0))viernes, 24 de agosto de 12
  34. 34. Practice with Graphical Analysis Evaluate f(0) =3 Evaluate f(0) - f(1) = 3 - 2 = 1 Evaluate f(f(0)) = f(3) = -6viernes, 24 de agosto de 12
  35. 35. Practice with Graphical Analysis Solve for x: f(x) < -4viernes, 24 de agosto de 12
  36. 36. Practice with Graphical Analysis Solve for x: f(x) < -4viernes, 24 de agosto de 12
  37. 37. Practice with Graphical Analysis Solve for x: f(x) < -4 (2, 4)viernes, 24 de agosto de 12
  38. 38. Practice with Graphical Analysis Solve for x: f(x) < -4 (2, 4)viernes, 24 de agosto de 12
  39. 39. Practice with Graphical Analysis Solve for x: f(x) < -4 (2, 4) Solve for x: f(x) 2viernes, 24 de agosto de 12
  40. 40. Practice with Graphical Analysis Solve for x: f(x) < -4 (2, 4) Solve for x: f(x) 2viernes, 24 de agosto de 12
  41. 41. Practice with Graphical Analysis Solve for x: f(x) < -4 (2, 4) Solve for x: f(x) 2viernes, 24 de agosto de 12
  42. 42. Practice with Graphical Analysis Solve for x: f(x) < -4 (2, 4) Solve for x: f(x) 2 [-1, 1]viernes, 24 de agosto de 12
  43. 43. Homework 4 Blackboard -> Assignmentsviernes, 24 de agosto de 12

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  • ssuserd94cd31

    Apr. 10, 2021

Estas son la mayoría de las transparencias de mi curso de Cálculo Diferencial del semestre Agosto-diciembre de 2012.

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