Description
INSTRUCTIONS
- The quiz is worth 100 points, and there is an extra credit opportunity at the end. There are 10 problems. This quiz is open book and open notes. This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with your submission). You may take as much time as you wish, provided you turn in your quiz no later than Sunday, 11:59 PM.
- Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also.
In your document, be sure to include your name and the assertion of independence of work.
- General quiz tips and instructions for submitting work are posted in the Quizzes module.
If you have any questions, please contact me by e-mail.
1 (8 pts)
(a) Let x = log 6 State the exponential form of the equation.
(b) log 9 1 = _____ (fill in the blank)
(c) Determine the numerical value of , in simplest form. Work optional.
Solution:
- . (10 pts) Let f (x) = 2x2 – 9 and g(x) = 3+2x
(a) Find the composite function and simplify the results. Show work.
Solution:
(b) Find . Show work.
Solution:
- . (6 pts) Based on data about the growth of a variety of ornamental trees, the following logarithmic model about these trees was determined:
h(t) = 6.108 ln(t) + 6.199, where t = age of tree in years and h (t) = height of tree, in feet.
(Note that “ln” refers to the natural log function) (explanation optional)
Using the model,
- At age 5 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?
Solution:
(b) At age 15 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?
Solution:
- (8 pts) Solve the equation. Check all proposed solutions. Show work in solving and in checking, and state your final conclusion..
Solution:
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