advertisement

Algebra 2 Review Chapter 2 Name _____________________________ Determine whether each relation is a function. Find the domain and range. 1. {(5, 0), (8, 1), (1, 3), (5, 2), (3, 8)} 2. {(10, 2), (-10, 2), (6, 4), (5, 3), (-6, 7)} Function? __________ Function? ____________ D: __________________ R: ____________________ D: __________________ R: ____________________ 3. Function? ___________ D: __________________ R: ____________________ 4. Draw a mapping diagram for the relation. {(2, 9), (-7, 5), (4, 5), (1, -1)} Is it a function? ________________ Find each constant of variation. Then find the value of y when x = -0.3. 5. y = 2 when x = 21 constant = ______ y = ______ 6. y = 7. a. Draw a scatter plot of each set of data. Draw the trend line. b. Write its equation. c. Then predict the value of y when x is 15. 2 3 when x = 0.2 constant = ______ y = ______ 14 12 10 8 x y 3 5 4 7 5 9 7 10 8 10 9 11 10 13 6 4 2 2 4 6 8 10 12 14 Suppose f(x) = 2x – 5 and g(x) = | -3x – 1 |. Find each value. 8. f(3) 9. f(1) + g(2) 10. f(-1) – g(3) 11. The number of minutes a freight train takes to pass an intersection varies directly with the number of cars in the train. A 150-car train passes in 3 min. How long will a 210-car train take to pass? Find the slope of each line. 12. through (3, 5) and (1, 1) 14. a line that is perpendicular to y = -2x – 4 13. 4x + 3y = 2 Graph each function. 15. y = 2 5 -10 -8 x+3 -6 17. y = | x – 3 | + 1 16. 3x + 6y = 12 -4 10 10 10 8 8 8 6 6 6 4 4 4 2 2 2 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 -2 -2 -2 -4 -4 -4 -6 -6 -6 -8 -8 -8 -10 -10 -10 18. y = -| x | + 4 4 6 8 10 Write in standard form an equation of the line with the given slope through the give point. 10 8 19. slope = 4, (-2, -5) 6 20. slope =-3, (0, 0) 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 -2 Write in point- slope form, then change to slope-intercept form. 21. (-1, -6) and (-2, 10) 22. (3, 0) and (-1, -2) -4 -6 -8 -10 Describe each transformation of the parent function y = | x |. 23. y = | x | - 4 24. y = | x – 1 | - 5 25. y = | x | + 5 For Questions 26-27, graph each inequality. 26. y x + 7 28. Write the equation for the graph 27. 4x + 3y < 12 4 14 12 10 8 6 4 2 -6 -5 -4 -3 -2 -1 1 -2 -4 3 7 6 5 4 3 2 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 2 1 -6 -5 -4 -3 -2 -1 1 -1 1 2 3 4 5 6 7 -2 -3 -4 -5 -6 2 3 4 5 6