Properties of Functions - Unit Test A

4. A monogramming company charges its customers per letter of monogramming in a project. The cost, c, can be represented by c = 3.75x, where x is the number of letters in the project. Which type of number is most reasonable for the domain of the situation?

• A. All integers
• B. All whole numbers
• C. All real numbers
• D. All of the above

5. Which of the following best describes the domain of the function on the graph below?

• A. –1 ≤ x ≤ –9
• B. –5 ≤ x ≤ 45
• C. –5 < x < 45
• D. –10 ≤ y ≤ 25

7. Summer and Mia created the graphs shown. Whose graph represents a function?

• A. Summer’s graph only
• B. Mia’s graph only
• C. Both graphs represent functions
• D. Neither graph represents a function

8. Find the range of the graph.

• A. 2 < y ≤ 18
• B. 12 < y ≤ 18
• C. 2 ≤ y < 18
• D. All real numbers

10. Peter launched a water balloon from the top of a building that is 15 yards tall. The graph shows the height of the water balloon as a function of x, the distance from the building in feet. Which best represents the domain of the situation?

• A. 15 ≤ x ≤ 30
• B. 0 ≤ x ≤ 8
• C. 0 ≤ y ≤ 30
• D. All real numbers

14. Which set of ordered pairs represents a function?

• A. {(-1.5, 3), (-2.5, 3), (0, 3), (3.5, 3)}
• B. {(2, 12), (6, 15), (-2, -1), (6, 3), (8, 8)}
• C. {(7, 1), (7, -1), (5, 2), (5, -2), (3, 3)}
• D. {(1.2, 3), (2.2, 4), (3.2, 5), (3.2, 6)}

15. Trey drained 12 quarts of water from a cooler after a camping trip. The graph shows the remaining quarts of water as a linear function of x, the time in minutes. Which best represents the domain and range of the function?

• A. Domain: 0 ≤ x ≤ 12, Range: 0 ≤ y ≤ 6
• B. Domain 0 ≤ x ≤ 6, Range: 0 ≤ y ≤ 12
• C. Domain: x ≤ 6, Range: y ≤ 12
• D. Domain: all real numbers, Range: all real numbers

17. A theater teacher is going to order between 1 and 4 chairs for her classroom. The cost of the chairs, y, can be represented by y = 22x + 5.5 where x is the number of chairs ordered. Which best represents the range of the situation?

• A. {1, 2, 3, 4}
• B. 1 ≤ x ≤ 4
• C. {27.5, 49.5, 71.5, 93.5}
• D. 27.5 ≤ y ≤ 93.5

20. The graph of y = r(x) is shown below. Find r(-2).

plug it in