Questions: What is the domain of the function shown on the graph?

What is the domain of the function shown on the graph?
Transcript text: What is the domain of the function shown on the graph?
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Solution

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Solution Steps

Step 1: Identify the Graph's X-Values

Examine the graph to determine the range of x-values for which the function is defined. The function appears to be defined from \( x = -2 \) to \( x = 4 \).

Step 2: Determine the Domain

The domain of the function is the set of all x-values for which the function is defined. From the graph, the function is defined for all x-values between -2 and 4, inclusive.

Step 3: Match the Domain with the Given Options

Compare the determined domain \([-2, 4]\) with the provided options:

  • \([0, 3]\)
  • \((-\infty, \infty)\)
  • \([0, 4]\)
  • \([-2, 4]\)

The correct match is \([-2, 4]\).

Final Answer

\([-2, 4]\)

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