6. Pre-Test Unit 1: Functions. No calculator necessary. Please do not use a
calculator. Determine if each of the following is a true function or not. Explain how
Pre-Test Unit 1: Functions No calculator necessary. Please do not use a calculator. Determine if each of the following is a function or not. Explain how you know. (4 pts; 2 pts for answer, 2 pts for explanation) 1. 2. 2 1 0 1 2 4 1 0 1 4 3. Input: Type of an individual bird (robin, finch, etc.) 4. Output: That bird’s exact weight 5. 1, 3, 9, 27, 81 … 6. Give an example of a function in words explaining the input, output, domain, range and how you know it is a function. Give the domain and the range of the following functions. (4 pts; 2 pts for each) 7. 4 7 8. Input: Teenager’s identity Output: Weekly allowance as of today
Given the functions and evaluate the following. (4 pts; 2 pts for correct input, 2 pts for correct answer) 9. 3 10. 2 Graph the following functions by filling out the / chart using inputs ( values) that you think are appropriate. (4 pts; 1 pt for appropriate values, 1 pt for correct table, 2 pts for graph following table) 11. 2 12. 1
Answer the following questions using the given function showing the value of an investment in ten thousands of dollars ( ) based on the number of years from this year ( ). (4 pts; partial credit at teacher discretion) 13. What does the point on the graph represent? 14. Based on the graph, what is causing the value of the investment to decrease and how do you know?
Calculate/estimate the average rate of change and the initial value over the interval , for each function. (4 pts; 2 pts for each) 3 15. 16. 17. A banker has been gaining $2,000 per year on an investment and expects to do the same the next few years. The banker’s investment currently has a value of $18,000. Think of the function that shows how much money the investment is worth based on how many years it has been since this year. 18. 4 2 0 2 4 7 4 1 2 5 For the following functions tell whether they are linear or non‐linear, give the domain where they are increasing and where they are decreasing, and then give the max or min of the function. (4 pts; 1 pt for linear/non‐linear, 2 pts for increasing/decreasing domain, 1 pt for max/min) 19. 3 20. 3 5
Mileage in mpg
Use the following graph showing a function modeling the miles per gallon ( ) a car gets in terms of its speed ( ) to answer the questions. (4 pts; partial credit at teacher discretion) 21. What appears to be the best mileage this car will get and at what speed does it occur? 22. What are all the possible speeds this car can drive at? 23. What are all the possible mileages this car can get? Speed in mph Determine which graph matches the story and explain why. (5 pts; 2 pts for correct answer with no explanation) 24. I started to walk to class, but I realized I had forgotten my notebook, so I went back to my locker and then I went quickly at a constant rate to class.
Sketch a graph modeling a function for the following situations. (5 pts; partial credit at teacher discretion) 25. A dog is sleeping when he hears the cat “meow” in the next room. He quickly runs to the next room where he slowly walks around looking for the cat. When he doesn’t find the cat, he sits down and goes back to sleep. Sketch a graph of a function of the dog’s speed in terms of time.