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Linear Algebra 11.1. – 11.4 Review WS Name ______________________________ Date _________________ Hour _______ For #1-2, tell whether the relation is a function. Explain. 1. (6, 2), (5, 3), (4, 4), (3, 4), (3, 5), (2, 6) 2. input output -17 1 -22 5 -30 10 0 0 _______________________________________ __________________________________ _______________________________________ __________________________________ For #3-4, write a function rule that relates x and y. Show all steps of your work. 3. x -10 -7 -4 -1 y -15 -10.5 -6 -1.5 Function rule: ___________________ 4. x -2 0 2 4 y 4 6 8 10 Function rule: ___________________ 5. A gray whale calf is nursed back to health with a milk-based formula. The table shows the total gallons (g) of formula consumed over the course of (f) feedings. a. Write a function rule for this situation. Function rule: ___________________ b. Using the function rule you wrote in part a, calculate how much the whale consumes in 20 feedings assuming the same pattern continues. _______________ 6. Show your work to determine whether (4, 2) is a solution of 3x + 7y = 24. 7. Is the equation y = 3x2 – 1 linear or non-linear? Explain your reasoning. _______________________________________________ 8. a. Make a scatter plot of the data. b. Do x and y have a positive relationship, negative relationship, or no relationship? __________________________________________________ c. What conclusions can you make? ___________________________________________ _______________________________________________________________________ For #9-10, list three solutions for each equation. 9. y = -2x + 6 _________ 10. y = 1 x – 10 5 _________ _________ _________ ________ ________ For #11-14, make a table with at least 4 ordered pairs for each equation and then graph each equation. 11. y = 3x + 2 12. y = -x – 3 13. x = -3 14. y = 1 15. Write -2x – y = 8 in function form. 16. Write 3y – 15 = 9x in function form. Function form: ___________________ Function form: ___________________