Properties of Functions Quick Check (Algebra 1 TEKS)

1. A textbook company will ship a box of textbooks to college students. The weight of the box in pounds can be determined by the function w(x) = 7.5x + 2, where x is the number of textbooks in the box. The company requires a student to order at least 2 books but not more than 6 books. What is the range of the function for this situation?

• A. 2 ≤ x ≤ 6
• B. 17 ≤ y ≤ 47
• C. {17, 24.5, 32, 39.5, 47}
• D. {2, 3, 4, 5, 6}

2. The graph shows the function g. Which of the following statements is NOT true?

• F. The domain of the function is -3 ≤ x ≤ 2.
• G. The function is continuous.
• H. The value of g(1) = 0.
• J. The range of the function is -3 ≤ y ≤ 5.

3. A private school determines their annual profits from the function p(x) = 0.4x² – 19x, where x is the number of students enrolled in the school. What is the annual profit if 750 students are enrolled in the school?

• A. $75,750
• B. $210,750
• C. -$13,950
• D. $239,250

4. Two students created the graphs shown below. Whose graph represents a function?

• F. Rudolf’s graph
• G. Efren’s graph
• H. Both graphs represent functions
• J. Neither graphs represent functions

5. If f(x) = 12(4 – x) , what is the value of f(-5)?

• A. -12
• B. 12
• C. -60
• D. 108

6. Wren is going to add an ordered pair to the table that will cause the table to no longer be a function. Which could be the ordered pair?

• F. (3, 2)
• G. (0, -2)
• H. (1, 6)
• J. (5, 7)

7. Which of the following graphs has a range of all real numbers greater than or equal to -2?

• A. I only
• B. II only
• C. III only
• D. I, II, and III

8. An English teacher can grade all her students’ essays in 60 minutes. The graph shows the remaining percentage of grading as a linear function of x, the time in minutes. Which answer choice best describes the domain of the situation?

• F. All real numbers less than or equal to 100.
• G. {10, 20, 30, 40, 50, 60}
• H. All real numbers less than or equal to 60.
• J. All real numbers greater than or equal to 0 and less than or equal to 60.

9. Angelica writes a function f with a domain of all real numbers and a range of {-13}. Which of the following could be the function she wrote?

• A. f(x) = x – 13
• B. f(x) = 13x
• C. f(x) = -13
• D. f(x) = x + 13