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Lesson 47: Graphing Functions — Practice Questions

  1. 1. A function is defined by the equation $y = 4x - 2$. If the input is $x=5$, what is the corresponding output $y$? The output is ___.

  2. 2. Which statement best explains why the relation \{(1, 5), (2, 7), (1, 8), (3, 9)\} is NOT a function?

    • A. The outputs are not in increasing order.
    • B. The input value 1 is associated with two different outputs.
    • C. The set does not contain the origin (0, 0).
    • D. The output value 7 appears only once.
  3. 3. The range of a function is the set of all unique output values. What is the range of the function given by the ordered pairs \{(-3, 9), (-1, 1), (0, 0), (2, 4), (3, 9)\}? Use set notation for your answer: \{...\}.

  4. 4. A bike rental service charges 5 dollars for the first hour and 2 dollars for each additional hour. What is the total cost to rent a bike for 4 hours? The cost is ___ dollars.

  5. 5. The domain of a function is the set of all possible inputs. What is the domain of the function represented by the ordered pairs \{(-5, 1), (-2, 3), (0, 5), (3, 7)\}?

    • A. \{1, 3, 5, 7\}
    • B. \{-5, -2, 0, 3\}
    • C. \{-5, 1\}
    • D. \{All real numbers\}
  6. 6. A parking garage charges based on the following rules: - Up to 1 hour: 3 dollars - More than 1 hour and up to 3 hours: 7 dollars - More than 3 hours: 12 dollars What is the cost for parking for exactly 3 hours? ___ dollars

  7. 7. Which statement provides the best description of the graph of a step function?

    • A. A smooth, continuous curve without any breaks.
    • B. A single straight line with a positive or negative slope.
    • C. A series of horizontal line segments at different heights.
    • D. A V-shaped graph symmetric about the y-axis.
  8. 8. A library's late fee policy is as follows: - 1 to 7 days late: 1 dollar - 8 to 14 days late: 2 dollars - 15 to 21 days late: 3 dollars A book returned 11 days late incurs a fee of ___ dollars.

  9. 9. An internet provider charges for data monthly: - Up to 100 GB: 50 dollars - More than 100 GB and up to 200 GB: 70 dollars If a customer uses 100.5 GB of data, what is their bill?

    • A. 50 dollars
    • B. 60 dollars
    • C. 70 dollars
    • D. 120 dollars
  10. 10. A candy store sells bulk candy based on weight: - Up to 2 pounds: 8 dollars - More than 2 pounds and up to 4 pounds: 15 dollars A customer buys a bag of candy weighing exactly 2 pounds. The total cost is ___ dollars.