247 2.4 Linear Functions Graph each linear function. Give the domain and range. Identify any constant functions. See Examples 1 and 2. 11. ƒ1x2 = x - 4 12. ƒ1x2 = -x + 4 13. ƒ1x2 = 1 2 x - 6 14. ƒ1x2 = 2 3 x + 2 15. ƒ1x2 = 3x 16. ƒ1x2 = -2x 17. ƒ1x2 = -4 18. ƒ1x2 = 3 19. ƒ1x2 = 0 20. Concept Check Write the equation of the linear function ƒ with graph having slope 9 and passing through the origin. Give the domain and range. Graph each line. Give the domain and range. See Examples 3 and 4. 21. -4x + 3y = 12 22. 2x + 5y = 10 23. 3y - 4x = 0 24. 3x + 2y = 0 25. x = 3 26. x = -4 27. 2x + 4 = 0 28. -3x + 6 = 0 29. -x + 5 = 0 30. 3 + x = 0 Match each equation with the sketch that most closely resembles its graph. See Examples 2 and 3. 31. y = 5 32. y = -5 33. x = 5 34. x = -5 A. B. C. D. 0 x y 0 x y 0 x y 0 x y Use a graphing calculator to graph each equation in the standard viewing window. See Examples 1, 2, and 4. 35. y = 3x + 4 36. y = -2x + 3 37. 3x + 4y = 6 38. -2x + 5y = 10 Concept Check Answer each question. 39. If a walkway rises 2.5 ft for every 10 ft on the horizontal, which of the following express its slope (or grade)? (There are several correct choices.) A. 0.25 B. 4 C. 2.5 10 D. 25% E. 1 4 F. 10 2.5 G. 400% H. 2.5% 2.5 ft 10 ft 1 ft 4 ft 40. If the pitch of a roof is 1 4 , how many feet in the horizontal direction correspond to a rise of 4 ft?
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