A.2A Readiness - Domain and Range - Linear Functions

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A.2A -R

A student rode a bike from school to a recreation center. The graph shows the student’s distance in miles from the recreation center after riding the bike for x minutes.

What is the range of the function for this situation?

• All real numbers greater than or equal to 0 and less than or equal to 28

• All real numbers greater than or equal to 0 and less than or equal to 9

• All real numbers less than or equal to 28

• All real numbers less than or equal to 9

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• {0, 1, 2, 3, 4, 5, 6}

• {4, 24, 44, 64, 84, 104, 124}

• {0, 2, 4, 6}

• {4, 44, 84, 124}

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The graph of part of linear function g is shown on the grid.

Which inequality best represents the domain of the part shown?

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• Domain: All real numbers greater than or equal to −37

  Range: All real numbers

• Domain: {−37}

  Range: All real numbers

• Domain: All real numbers

  Range: All real numbers greater than or equal to −37

• Domain: All real numbers

  Range: {−37}

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The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.

For one day of work, what is the range of the function for this situation?

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A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.

Which answer choice best describes the domain and range of the function for this situation?

• Domain: All real numbers greater than or equal to 0 and less than or equal to 100

  Range: All real numbers greater than or equal to 0 and less than or equal to 50

• Domain: {−2}

  Range: {100}

• Domain: All real numbers greater than or equal to 0 and less than or equal to 50

  Range: All real numbers greater than or equal to 0 and less than or equal to 100

• Domain: {100}

  Range: {−2}

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What is the range of the function graphed on the grid?

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The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function   consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain for this situation?

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A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these planes to ship 2,000-pound containers. The total cargo weight is a function of the number of containers in the plane. What is the greatest value in the domain for this situation?

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