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**Title:** Understanding Functions: Identifying Functional Relations **Text:** **Which relations are functions? Select all that apply.** - **A.** (3, 2), (-1, 7), (-3, 1), (0, 9), (2, -4) - **B.** Mapping Diagram: - **x-values:** -4, -2, 0 - **y-values:** 9, 12, 15 - Mapping: - -4 → 9, 12 - -2 → 12 - 0 → 15 - **C.** Table of Values: - | x | 1 | 2 | 3 | 4 | - |---|---|---|---|---| - | y | 2 | 4 | 6 | 13 | - **D.** Graph: - The graph shows discrete points plotted on a coordinate grid. - Plotted points: (-4, -3), (-2, -2), (0, 0), (2, 1), (4, 2) In this example, the correct answer is marked next to option D, indicating that the graph represents a function since each x-value (input) corresponds to precisely one y-value (output). **Explanation of Graphs and Diagrams:** **Mapping Diagram (B):** This diagram shows how each x-value maps to one or more y-values. For a relation to be a function, each x-value must correspond to exactly one y-value. In this case, -4 maps to both 9 and 12, which disqualifies it as a function. **Table of Values (C):** This table lists pairs of x and y values. A relation is a function if every x-value is paired with exactly one y-value. Here, each x-value (1, 2, 3, 4) is associated with only one y-value (2, 4, 6, 13), so this represents a function. **Graph (D):** The graph visually represents a set of ordered pairs. It is a function if no vertical line intersects the graph at more than one point (vertical line test). Here, the plotted points pass this test, confirming it as a function.

**Title:** Understanding Functions: Identifying Functional Relations **Text:** **Which relations are functions? Select all that apply.** - **A.** (3, 2), (-1, 7), (-3, 1), (0, 9), (2, -4) - **B.** Mapping Diagram: - **x-values:** -4, -2, 0 - **y-values:** 9, 12, 15 - Mapping: - -4 → 9, 12 - -2 → 12 - 0 → 15 - **C.** Table of Values: - | x | 1 | 2 | 3 | 4 | - |---|---|---|---|---| - | y | 2 | 4 | 6 | 13 | - **D.** Graph: - The graph shows discrete points plotted on a coordinate grid. - Plotted points: (-4, -3), (-2, -2), (0, 0), (2, 1), (4, 2) In this example, the correct answer is marked next to option D, indicating that the graph represents a function since each x-value (input) corresponds to precisely one y-value (output). **Explanation of Graphs and Diagrams:** **Mapping Diagram (B):** This diagram shows how each x-value maps to one or more y-values. For a relation to be a function, each x-value must correspond to exactly one y-value. In this case, -4 maps to both 9 and 12, which disqualifies it as a function. **Table of Values (C):** This table lists pairs of x and y values. A relation is a function if every x-value is paired with exactly one y-value. Here, each x-value (1, 2, 3, 4) is associated with only one y-value (2, 4, 6, 13), so this represents a function. **Graph (D):** The graph visually represents a set of ordered pairs. It is a function if no vertical line intersects the graph at more than one point (vertical line test). Here, the plotted points pass this test, confirming it as a function.

Algebra and Trigonometry (6th Edition)
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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**Title:** Understanding Functions: Identifying Functional Relations **Text:** **Which relations are functions? Select all that apply.** - **A.** (3, 2), (-1, 7), (-3, 1), (0, 9), (2, -4) - **B.** Mapping Diagram: - **x-values:** -4, -2, 0 - **y-values:** 9, 12, 15 - Mapping: - -4 → 9, 12 - -2 → 12 - 0 → 15 - **C.** Table of Values: - | x | 1 | 2 | 3 | 4 | - |---|---|---|---|---| - | y | 2 | 4 | 6 | 13 | - **D.** Graph: - The graph shows discrete points plotted on a coordinate grid. - Plotted points: (-4, -3), (-2, -2), (0, 0), (2, 1), (4, 2) In this example, the correct answer is marked next to option D, indicating that the graph represents a function since each x-value (input) corresponds to precisely one y-value (output). **Explanation of Graphs and Diagrams:** **Mapping Diagram (B):** This diagram shows how each x-value maps to one or more y-values. For a relation to be a function, each x-value must correspond to exactly one y-value. In this case, -4 maps to both 9 and 12, which disqualifies it as a function. **Table of Values (C):** This table lists pairs of x and y values. A relation is a function if every x-value is paired with exactly one y-value. Here, each x-value (1, 2, 3, 4) is associated with only one y-value (2, 4, 6, 13), so this represents a function. **Graph (D):** The graph visually represents a set of ordered pairs. It is a function if no vertical line intersects the graph at more than one point (vertical line test). Here, the plotted points pass this test, confirming it as a function.
Transcribed Image Text:**Title:** Understanding Functions: Identifying Functional Relations **Text:** **Which relations are functions? Select all that apply.** - **A.** (3, 2), (-1, 7), (-3, 1), (0, 9), (2, -4) - **B.** Mapping Diagram: - **x-values:** -4, -2, 0 - **y-values:** 9, 12, 15 - Mapping: - -4 → 9, 12 - -2 → 12 - 0 → 15 - **C.** Table of Values: - | x | 1 | 2 | 3 | 4 | - |---|---|---|---|---| - | y | 2 | 4 | 6 | 13 | - **D.** Graph: - The graph shows discrete points plotted on a coordinate grid. - Plotted points: (-4, -3), (-2, -2), (0, 0), (2, 1), (4, 2) In this example, the correct answer is marked next to option D, indicating that the graph represents a function since each x-value (input) corresponds to precisely one y-value (output). **Explanation of Graphs and Diagrams:** **Mapping Diagram (B):** This diagram shows how each x-value maps to one or more y-values. For a relation to be a function, each x-value must correspond to exactly one y-value. In this case, -4 maps to both 9 and 12, which disqualifies it as a function. **Table of Values (C):** This table lists pairs of x and y values. A relation is a function if every x-value is paired with exactly one y-value. Here, each x-value (1, 2, 3, 4) is associated with only one y-value (2, 4, 6, 13), so this represents a function. **Graph (D):** The graph visually represents a set of ordered pairs. It is a function if no vertical line intersects the graph at more than one point (vertical line test). Here, the plotted points pass this test, confirming it as a function.
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