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Math 30-1 Assignment 1.4 - Vista Virtual School
Vista Virtual School Math 30-1 Assignment 1.4
This assignment is out of 12 marks. To earn full marks for each question, a detailed algebraic solution and/or explanation is required. Review the “ Directing Words” chart found in the course introduction. Complete all questions before submitting this assignment for grading. Please contact your teacher if you have any questions.
1. Consider the function
a. Use a table of values to sketch the graph of y = f (x) . Use both positive and negative x- values in your table of values and show at least 4 points on your graph. (2 marks)
x |
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f (x) |
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b. Complete the following table for this function. (3 marks)
Equations for any Asymptotes |
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Zero(s) |
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y-intercepts(s) (as an ordered pair) |
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Domain (use set notation) |
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Range (use set notation) |
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Type of Function |
Increasing or Decreasing (circle one) |
2. Algebraically solve the following equations using common bases. State the answers as exact values. (4 marks)
a. b.
3. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years.
a. Write an exponential function to model this situation and define each variable. (1 mark)
b. Determine what fraction of a sample of Krypton-85 will remain after 86.08 years. State the answer as an exact fraction value. (1 mark)
c. Determine how long will it take for a sample of Krypton-85 to decay to 1/16 of its original mass. Round your answer to the nearest hundredth of a year.(1 mark)