Which graph represe nts y as a function of x?

Algebra and Trigonometry (6th Edition)
6th Edition
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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The image presents a multiple-choice question asking which graph represents \( y \) as a function of \( x \). There are four graphs labeled F, G, H, and J. Each graph is on a coordinate plane ranging from -10 to 10 on both the x-axis and y-axis.

1. **Graph F:**
   - This graph displays a series of dots scattered across the coordinate plane. Several points share the same x-value but have different y-values, indicating that it does not represent a function.

2. **Graph G:**
   - This graph shows a line that moves diagonally upwards, starting to the left of the y-axis and moving to the right. It represents a step function with horizontal segments and satisfies the vertical line test, indicating it is a function.

3. **Graph H:**
   - This graph also features multiple dots, with several points sharing the same x-value. Like Graph F, it does not satisfy the conditions of a function since each x-value should map to exactly one y-value.

4. **Graph J:**
   - This graph exhibits a vertical line along a single x-value, which fails the vertical line test for functions. Each x-value must map to only one y-value within a function.

**Answer:** The graph that represents \( y \) as a function of \( x \) is Graph G.
Transcribed Image Text:The image presents a multiple-choice question asking which graph represents \( y \) as a function of \( x \). There are four graphs labeled F, G, H, and J. Each graph is on a coordinate plane ranging from -10 to 10 on both the x-axis and y-axis. 1. **Graph F:** - This graph displays a series of dots scattered across the coordinate plane. Several points share the same x-value but have different y-values, indicating that it does not represent a function. 2. **Graph G:** - This graph shows a line that moves diagonally upwards, starting to the left of the y-axis and moving to the right. It represents a step function with horizontal segments and satisfies the vertical line test, indicating it is a function. 3. **Graph H:** - This graph also features multiple dots, with several points sharing the same x-value. Like Graph F, it does not satisfy the conditions of a function since each x-value should map to exactly one y-value. 4. **Graph J:** - This graph exhibits a vertical line along a single x-value, which fails the vertical line test for functions. Each x-value must map to only one y-value within a function. **Answer:** The graph that represents \( y \) as a function of \( x \) is Graph G.
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