Identify the domain of the function shown in the graph. OA. x20 O B. All positive integers C. All positive real numbers D. All real numbers

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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### Unit 3: Pretest

**Question:** Identify the domain of the function shown in the graph.

**Graph Description:**
The graph displays a straight line with a negative slope, passing through the second and fourth quadrants of a Cartesian coordinate system. The line extends infinitely in both directions.

**Options:**
- A. \( x \geq 0 \)
- B. All positive integers
- C. All positive real numbers
- D. All real numbers

The question requires selecting the correct domain of the linear function depicted in the graph.

**Explanation of the Graph:**
- The x-axis and y-axis are both labeled and extend infinitely.
- The line crosses the y-axis at approximately \( y = 3 \) and extends downward to the right.
- This linear function is defined for all values of x, implying the domain is all real numbers.

**Answer Choice Detail:**
- **A. \( x \geq 0 \):** Incorrect, as the line exists for negative x values.
- **B. All positive integers:** Incorrect, as the function is not limited to integer values.
- **C. All positive real numbers:** Incorrect, as the line extends beyond positive values.
- **D. All real numbers:** Correct, since the line exists for all x values from \(-\infty\) to \(+\infty\).

**Correct Answer:**
D. All real numbers

**Navigation:**
- To move to the previous question, click on the "PREVIOUS" link.

Explore and understand the domain of functions by evaluating each graph accurately. Understanding the domain is crucial in defining the set of possible input values for which the function is defined.
Transcribed Image Text:### Unit 3: Pretest **Question:** Identify the domain of the function shown in the graph. **Graph Description:** The graph displays a straight line with a negative slope, passing through the second and fourth quadrants of a Cartesian coordinate system. The line extends infinitely in both directions. **Options:** - A. \( x \geq 0 \) - B. All positive integers - C. All positive real numbers - D. All real numbers The question requires selecting the correct domain of the linear function depicted in the graph. **Explanation of the Graph:** - The x-axis and y-axis are both labeled and extend infinitely. - The line crosses the y-axis at approximately \( y = 3 \) and extends downward to the right. - This linear function is defined for all values of x, implying the domain is all real numbers. **Answer Choice Detail:** - **A. \( x \geq 0 \):** Incorrect, as the line exists for negative x values. - **B. All positive integers:** Incorrect, as the function is not limited to integer values. - **C. All positive real numbers:** Incorrect, as the line extends beyond positive values. - **D. All real numbers:** Correct, since the line exists for all x values from \(-\infty\) to \(+\infty\). **Correct Answer:** D. All real numbers **Navigation:** - To move to the previous question, click on the "PREVIOUS" link. Explore and understand the domain of functions by evaluating each graph accurately. Understanding the domain is crucial in defining the set of possible input values for which the function is defined.
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