Questions: Find the domain and range of the function shown in the graph to the right. What is the domain of the function? (Type your answer in interval notation.) What is the range of the function? (Type your answer as a union of an interval and a set.)

Find the domain and range of the function shown in the graph to the right. What is the domain of the function? (Type your answer in interval notation.) What is the range of the function? (Type your answer as a union of an interval and a set.)
Transcript text: Find the domain and range of the function shown in the graph to the right. What is the domain of the function? $\square$ (Type your answer in interval notation.) What is the range of the function? $\square$ (Type your answer as a union of an interval and a set.)
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Solution

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Solution Steps

Step 1: Identify the Domain of the Function

The domain of a function is the set of all possible input values (x-values) for which the function is defined. From the graph, the function starts at \( x = -2 \) and ends at \( x = 3 \). Therefore, the domain is: \[ [-2, 3] \]

Step 2: Identify the Range of the Function

The range of a function is the set of all possible output values (y-values) that the function can produce. From the graph, the lowest point of the function is at \( y = -1 \) and the highest point is at \( y = 4 \). Therefore, the range is: \[ [-1, 4] \]

Final Answer

  • Domain: \([-2, 3]\)
  • Range: \([-1, 4]\)
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