Section 3.2 Relations 177 Think About It! 75. Write a real-life example of a relation in which there is more than one output for a single input. 76. Write a real-life example of a relation in which for every input, there is only one output. 77. What must be true about a graph whose domain can be represented by a finite set of numbers? 78. What must be true about a graph whose domain can be represented with interval notation? PIECE IT TOGETHER SECTIONS 3.1 AND 3.2 Choose an appropriate scale to plot the following three ordered pairs on the same rectangular coordinate system. Identify the quadrants in which each point is located. (See Section 3.1, Objective 1.) 1. (-20, 25), (0, -15), (30, 40) Determine if the ordered pair is a solution of the equation. (See Section 3.1, Objective 2.) 2. 5x + y = 17; (2, -7) 3. y = |x + 1| - 2; (-4, 1) 4. y = 2.5x2 + 1.6; (-1.2, 5.52) Graph each equation. (See Section 3.1, Objective 3.) 5. y = x2 - 9 6. y = 1 - 3x 7. y = |2x + 6| Find the midpoint of the line segment formed by the ordered pairs. (See Section 3.1, Objective 5.) 8. (7, -15) and (19, 18) 9. a26, 7 2 b and a11, 2 5 3 b 10. A New York street vendor charges $12.50 for a 100% wool scarf. (See Section 3.2, Objective 1.) a. Express the relation between the number of 100% wool scarves sold and the revenue the street vendor earns as an equation. b. Find the domain and range of the relation. Find the domain and range of the relation whose graph is shown. (See Section 3.2, Objective 2.) 11. 12. 12 4 y 2 8 4 –4 –4 –2 –8 x 12 4 2 8 4 6 –4 –4 –2 –8 x y 13. 2 2 4 4 –2 –4 –2 –4 x y Find the indicated value for each relation. (See Section 3.2, Objective 3.) 14. Find the output value that corresponds to the input value of -2 for the relation {(-2, -1), (-1, 3), (0, 5), (6, -4)}. 15. Find the input value that corresponds to the output value of 5 for the relation {(0, 10), (2, -16), (5, 13), (-16, 5)}.
hendricks_intermediate_algebra_1e_ch1_3
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