Questions: Step 2 of 2: Determine the domain and range of the graph.

Step 2 of 2: Determine the domain and range of the graph.
Transcript text: Step 2 of 2: Determine the domain and range of the graph.
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Solution

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Solution Steps

Step 1: Identify the Domain

The domain of a function is the set of all possible input values (x-values) for which the function is defined. For the given graph, which is a parabola opening upwards, the x-values extend infinitely in both the positive and negative directions.

Step 2: Identify the Range

The range of a function is the set of all possible output values (y-values). For the given graph, the lowest point (vertex) of the parabola is at y = -5, and the parabola extends infinitely upwards.

Final Answer

  • Domain: All real numbers, \( (-\infty, \infty) \)
  • Range: \( [-5, \infty) \)
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