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hendricks_intermediate_algebra_1e_ch1_3

Find the domain of each function. (See Objective 3.) 63. h(x) = 12x - 8 64. h(x) = 13x + 6 65. f (x) = x + 6 x - 1 66. f (x) = x x - 2 Find the domain of each function described. (See Objective 4.) 67. The volume of the box is represented by the function V(x) = x(12 - 2x)(24 - 2x). 12 – 2x 24 – 2x x 68. The volume of the box is represented by the function V(x) = 4(18 - 3x)(10 - x). 10 – x 18 – 3x 4 69. The cost that Kos pays for x months of lawn service is modeled by the function C(x) = 40x. 70. When Bea makes x visits to the nail salon in a month, her monthly manicure cost can be modeled by the function C(x) = 18x. CHAPTER 3 TEST / GRAPHS, RELATIONS, AND FUNCTIONS 1. If x . 0 and y , 0, the point a-3x, 1 2 yb lies in Quadrant a. I b. II c. III d. IV 2. The ordered pair that is a solution of y=- 1 2 x - 3 is a. (0, 3) b. 126, 02 c. 12, 222 d. 124, 12 3. The midpoint of the line segment formed by (-3, 7) and (5, -3) is a. (2, 4) b. (-2, 10) c. (1, 2) d. (-1, 5) 4. The domain of the relation {(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)} is a. {-2, -1, 0, 1, 2} b. {1, 2, 5} c. {-2, -1, 0, 1, 2, 5} 5. The relation that is not a function is a. {(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4)} b. {(x, y)ux is a person and y is the person's Social Security Number} c. 2 4 4 –2 –4 –2 –4 x y 2 d. 2 2 4 –2 –2 –4 x y 4 6 6. If f (x) = 2x2 - 5x + 1, then f (-4) is a. -11 b. 53 c. 37 d. 5 7. If f (x) is represented by the graph, then the solution(s) of f (x) = 0 is/are a. 1 b. 3 c. -1, 3 d. -1, 1, 3 8. In your own words, explain what it means for a relation to be a function. Provide a real-life example of a function. Graph each equation by creating a table of at least three solutions. Determine if the equation represents a function. State the domain and range of each relation. 9. y = 2 3 x - 3 10. y = x2 - 2 11. y = ux + 1u 12. Explain how to use the vertical line test. 13. Determine if the relation is a function. State the domain and range of the relation. 6 2 –4 –2 2 x 4 4 –2 y Find the domain of each function. Express the domain in interval notation. 14. f (x) = 4x x - 9 2 2 4 4 6 –2 –4 –2 –4 x y f(x) 206 Chapter 3 Graphs, Relations, and Functions


hendricks_intermediate_algebra_1e_ch1_3
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