Category 3: Domain and Range Part 2

1. A part of a linear function 𝑓 is graphed on the grid. Which inequalities best describe the domain and range of the part shown?

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3. A city maintenance worker is filling up a 15,000 gallon community swimming pool. The graph shows the remaining volume to fill the pool as a linear function of 𝑥, the time in hours. Which answer choice best describes the domain and range of the function for this situation?

• 𝑨. 𝑫𝒐𝒎𝒂𝒊𝒏: All real numbers greater than or equal to 0 and less than or equal to 25; 𝑹𝒂𝒏𝒈𝒆: All real numbers greater than or equal to 0 and less than or equal to 15
• 𝑩. 𝑫𝒐𝒎𝒂𝒊𝒏: {25}; 𝑹𝒂𝒏𝒈𝒆: {15}
• 𝑪. 𝑫𝒐𝒎𝒂𝒊𝒏: All real numbers greater than or equal to 0 and less than or equal to 15; 𝑹𝒂𝒏𝒈𝒆: All real numbers greater than or equal to 0 and less than or equal to 25
• 𝑫. 𝑫𝒐𝒎𝒂𝒊𝒏: {15}; 𝑹𝒂𝒏𝒈𝒆: {25}

7. Which statement best describes the domain of the graph shown below?

• 𝑨. All real numbers less than 3
• 𝑩. All real numbers greater than 5
• 𝑪. All real numbers greater than 4
• 𝑫. All real numbers less than 8

8. Which graphs best represent a function with a range of all real numbers less than -2? Choose 𝑻𝑯𝑹𝑬𝑬 correct answers.

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• All real number greater than or equal to 0 and less than or equal to 34

• All real numbers greater than or equal to 0 and less that or equal to 8.5

• All real numbers less than or equal to 8.5

• All real numbers less that or equal to 34

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

• {-4, -2, 1}

• {-2, 1, 4}

The mapping below represents all of the points on the graph of function f. What is the domain of f?

• {5}

• {-5, -3, -1, 0, 2, 3, 4}

• {-1, 0, 1, 2, 3}

• {-5, -3, 0, 2, 4}

Function f is graphed. What is the domain of f?