Find the domain and range of the function graphed below. 8 7 6 Domain: (-00,00) 15 Range: 3 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 27 -4 564 -6- -7- -8+ N x 3/4 5 6 7 8

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The image features a graph of a parabola. It asks the user to find the domain and range of the function graphed.

### Graph Details:
- **Graph Type:** Cartesian coordinate system
- **Axes:**
  - The x-axis ranges from -8 to 8.
  - The y-axis ranges from -8 to 8.
- **Curve:** The graph depicts a parabola opening upwards, with its vertex at the point (2, -3) on the coordinate grid.
- **Symmetry:** The parabola is symmetric about the vertical line x = 2.

### Answer Section:
- **Domain:** \((-∞, ∞)\)
  - This indicates that the function is defined for all real numbers along the x-axis.
- **Range:** The range input box is currently empty, implying it needs to be filled in with the appropriate range for the function.

### Range Explanation:
Based on the graph, the lowest point (minimum) of the parabola is at y = -3, and it extends infinitely upwards. Therefore, the range is \([-3, ∞)\).
Transcribed Image Text:The image features a graph of a parabola. It asks the user to find the domain and range of the function graphed. ### Graph Details: - **Graph Type:** Cartesian coordinate system - **Axes:** - The x-axis ranges from -8 to 8. - The y-axis ranges from -8 to 8. - **Curve:** The graph depicts a parabola opening upwards, with its vertex at the point (2, -3) on the coordinate grid. - **Symmetry:** The parabola is symmetric about the vertical line x = 2. ### Answer Section: - **Domain:** \((-∞, ∞)\) - This indicates that the function is defined for all real numbers along the x-axis. - **Range:** The range input box is currently empty, implying it needs to be filled in with the appropriate range for the function. ### Range Explanation: Based on the graph, the lowest point (minimum) of the parabola is at y = -3, and it extends infinitely upwards. Therefore, the range is \([-3, ∞)\).
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The graph of the function is

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To evaluate: The domain and the range of the function.

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