MS 101 Alg & Trig test one • • Name:

  1. Write the function to predict the number of descendants in generation x for a family in which each and every child in every generation has four children.
  2. Use a spreadsheet to make an xy scatter graph of the following bouncing ball data.
    Bounce numberBounce height (cm)
    0100
    180
    264
    351.2
    440.96
    532.768
    1. Add an EXPONENTIAL trend line and equation to the graph. Write the exponential equation below:
    2. __________ Based on the exponential equation in part a, what will be the height of bounce number eight?
  3. __________ A ball bounce function is given by f(x) = 100 × (0.80)n where n is the bounce number and f(x) is the bounce height. Calculate the height of the fifth bounce by evaluating this function at n = 5.
  4. Circle the exponential equation: y=8x | y=8x | y=x8
  5. __________ Evaluate 8x for x = 0
  6. __________ Evaluate 8x for x = 3
  7. __________ Evaluate ex for x = 3.8066625
  8. __________ Evaluate log10(x) for x = 10,000
  9. __________ Evaluate log10(x) for x = 500
  10. __________ Evaluate lne(x) for x = 2.71828
  11. __________ Evaluate lne(x) for x = 0
  12. __________ Determine the value of x by rewriting as an exponential function: log7(343) = x.
  13. Sketch a graph of y= 2 (–x) for x = -3 to 3
    Grid 12 x 10 on the thirties background rectangle major grid lines axes y-axis labels 0 1 2 3 4 5 6 7 8 9 10 x-axis labels -3 -2 -1 0 1 2 3
  14. 13 September 2000 Use a spreadsheet to make an xy scatter graph of the following baby growth data.
    age in months post-conceptionweight (pounds)
    97.17
    1512.79
    2116.49
    2719.25
    3321.47
    3923.30
    1. Add a LOGARITHMIC trend line and equation to the graph. Write the logarithmic equation below:
    2. ____________ Based on the logarithmic equation in part a, calculate the weight of the baby at 45 months post-conception.
    3. ____________ Based on the logarithmic equation in part a, calculate the age in months post-conception when the weight will be equal to 25 pounds.
    4. Mathematically, why cannot the baby be started at an age of zero months?

  15. Is log0(0) a defined value? Why or why not?