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Math Chapter 1-3: Polynomial, Rational, Exponential, Logarithmic

This interactive math chapter covers topics such as polynomial functions, rational functions, exponential functions, and logarithmic functions. It includes examples, practice problems, and solutions.

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Math Chapter 1-3: Polynomial, Rational, Exponential, Logarithmic

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  1. Chapter 1-3 Polynomial Rational Exponential Logarithmic Chapter 11 And Misc. 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500

  2. Chapter 1-3 100 Find the distance between the two points (1,3) ; (5,6)

  3. Chapter 1-3 100 D = 5

  4. Chapter 1-3 200 Determine the x-intercepts of the equation: Y= x^2 – 9

  5. Chapter 1-3 200 X= 3, -3

  6. Chapter 1-3 300 Find an equation of the line having the given characteristics: Slope = -2; containing point (3,-1)

  7. Chapter 1-3 300 Y = -2x +5

  8. Chapter 1-3 400 Evaluate the equation: f(x + h) - f(x) h For f(x) = -2x^2 + x +1

  9. Chapter 1-3 400 1

  10. Chapter 1-3 500 Graph the function using transformations f(x) = (x – 2)^2 + 2

  11. Chapter 1-3 500

  12. Polynomial 100 What are the x-intercepts of f(x) = 5x (x^2 + 5)(x – 2)^2 and state multipicities

  13. Polynomial 100 X = 2 multiplicity of 2

  14. Polynomial 200 Find the remainder when f(x) = x^50 – 2x^10 – x^3 – x^2 is divided by (x – 1)

  15. Polynomial 200 F(1) = 3

  16. Polynomial 300 Check to see if x = 2 is a zero of f(x) = 4x^4 – 15x^2 – 4 using long division

  17. Polynomial 300 Yes: (x – 2) (4x^3 + 8x^2 + x +2)

  18. Polynomial 400 Find all zeros of f(x) = x^4 – x^3 – 7x^2 + 5x +10

  19. Polynomial 400 X = 2, -1, + Square root of 5

  20. Polynomial 500 Find a polynomial function in standard form of degree 3 with zeros 1, 3 - 2i

  21. Polynomial 500 X^3 – 7x^2 + 19x - 13

  22. Rational 100 Where does the function f(x) = x + 1 (x + 1)(x – 3) have a vertical asymptote?

  23. Rational 100 X = 3

  24. Rational 200 Where is the horizontal asymptote of f(x) = 3 – x ? 5 – 3x

  25. Rational 200 Y = 1 3

  26. Rational 300 Solve for x. Check for extraneous solutions

  27. Rational 300 x = 3 or x = -2

  28. Rational 400 Solve this rational inequality by constructing a sign table:

  29. Rational 400 (-2 , 9]

  30. Rational 500 What is an equation for the graph?

  31. Rational 500 y = 4x (x – 1)

  32. Exponential 100 Solve the Exponential Equation: 8 * 3^x =5

  33. Exponential 100 X= ln5-ln8 ln3

  34. Exponential 200 Solve the Exponential Equation: 9^x+3^(x+1) -108=0

  35. Exponential 200 X=2

  36. Exponential 300 Solve the Exponential Equation: 81^(3n+2) =3^4 243^(-n)

  37. Exponential 300 n= -4/17

  38. Exponential 400 Solve the Exponential Equation: e^(x-1)-5=5

  39. Exponential 400 x=ln10+1

  40. Exponential 500 Solve the Exponential Equation: 3^((x^2)-7)=27^(2x)

  41. Exponential 500 {-1,7}

  42. Logarithmic 100 Evaluate the log expression

  43. Logarithmic 100 X=3

  44. Logarithmic 200 ln(x^2 +3x – 17)-8= -8

  45. Logarithmic 200 X=3,-6

  46. Logarithmic 300 ln2 – ln(3x+2) = 1

  47. Logarithmic 300 2 e -2 =x 3

  48. Logarithmic 400 log(4k-5) = log(2k-1)

  49. Logarithmic 400 k=2

  50. Logarithmic 500 Find the domain of the following: f(x) = 8 + ln(x-1)

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