Questions: Identify the domain and range of the given graph. Drag your answer to the corresponding domain and box bordered in green. x x ∈ ℜ y y ≥ 0 y -3 ≤ y<3 x x ≥ -3 y y ∈ ℝ x -3 ≤ x<3.5

Identify the domain and range of the given graph. Drag your answer to the corresponding domain and box bordered in green.
x  x ∈ ℜ
y  y ≥ 0
y  -3 ≤ y<3
x  x ≥ -3
y  y ∈ ℝ
x  -3 ≤ x<3.5
Transcript text: Identify the domain and range of the given graph. Drag your answer to the corresponding domain and box bordered in green. \[ \{x \mid x \in \mathfrak{R}\} \] $\{y \mid y \geq 0\}$ $\{y \mid -3 \leq y<3\}$ $\{x \mid x \geq -3\}$ $\{y \mid y \in \mathbb{R}\}$ $\{x \mid -3 \leq x<3.5\}$
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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.
  • From the graph, the x-values range from -3 to 3.5.
Step 2: Identify the Range
  • The range of a function is the set of all possible output values (y-values) for which the function is defined.
  • From the graph, the y-values range from -3 to 3.
Step 3: Match the Domain and Range to the Given Options
  • The domain is \(\{-3 \leq x < 3.5\}\).
  • The range is \(\{-3 \leq y < 3\}\).

Final Answer

  • Domain: \(\{-3 \leq x < 3.5\}\)
  • Range: \(\{-3 \leq y < 3\}\)
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