Use the graph to determine the function's domain and range. --2 2 20 -4- OA. Domain: [0,00) Range: (-00,00) OB. Domain: (-00,00) Range: [-2,00) OC. Domain: [0,00) Range: [-2,00) O D. Domain: [0,00) Range: [0,00)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Transcription for Educational Website**

**Title: Determining Domain and Range from a Graph**

Use the graph provided to determine the function's domain and range.

**Graph Description:**
- The graph represents a function plotted on a coordinate plane.
- The x-axis and y-axis are labeled, with tick marks at intervals of 1 unit. 
- The curve starts at the point (0, 2) and continues to the right, moving upwards. 
- A filled circle at (0, 2) indicates that this point is included in the function.

**Multiple Choice Options:**

A. Domain: \([0, \infty)\)  
   Range: \((-∞, ∞)\)

B. Domain: \((-∞, ∞)\)  
   Range: \([2, ∞)\)

C. Domain: \([0, ∞)\)  
   Range: \([2, ∞)\)

D. Domain: \([0, ∞)\)  
   Range: \([0, ∞)\)

**Explanation:**
- **Domain**: Refers to all possible x-values for which the function is defined. From the graph, the function starts at x = 0 and extends to the right indefinitely. Thus, the domain is \([0, ∞)\).
- **Range**: Refers to all possible y-values the function can take. Starting at y = 2, the curve extends upwards indefinitely. Therefore, the range is \([2, ∞)\).

**Correct Answer: C.**  
Domain: \([0, ∞)\)  
Range: \([2, ∞)\)
Transcribed Image Text:**Transcription for Educational Website** **Title: Determining Domain and Range from a Graph** Use the graph provided to determine the function's domain and range. **Graph Description:** - The graph represents a function plotted on a coordinate plane. - The x-axis and y-axis are labeled, with tick marks at intervals of 1 unit. - The curve starts at the point (0, 2) and continues to the right, moving upwards. - A filled circle at (0, 2) indicates that this point is included in the function. **Multiple Choice Options:** A. Domain: \([0, \infty)\) Range: \((-∞, ∞)\) B. Domain: \((-∞, ∞)\) Range: \([2, ∞)\) C. Domain: \([0, ∞)\) Range: \([2, ∞)\) D. Domain: \([0, ∞)\) Range: \([0, ∞)\) **Explanation:** - **Domain**: Refers to all possible x-values for which the function is defined. From the graph, the function starts at x = 0 and extends to the right indefinitely. Thus, the domain is \([0, ∞)\). - **Range**: Refers to all possible y-values the function can take. Starting at y = 2, the curve extends upwards indefinitely. Therefore, the range is \([2, ∞)\). **Correct Answer: C.** Domain: \([0, ∞)\) Range: \([2, ∞)\)
Expert Solution
Step 1: Graph of the function

The graph of the function is

Algebra homework question answer, step 1, image 1

To determine: The range and domain of the function using graph.

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