Shown is a graph of y=f(x)Is this function even,odd, or neither? Explain your answers briefly. **Graph Interpretation**This graph includes two distinct lines, each illustrating particular relationships between the variables $ x $ and $ y $ on a Cartesian coordinate plane.**Axes**- The horizontal axis represents the $ x $-axis.- The vertical axis represents the $ y $-axis.**Line 1:**- **Point A:** The line originates at point (-3, -1), which is represented by a solid black dot.- **Point B:** It continues to point (-1, 0), marked by a black hollow circle (indicating an endpoint not included).- **Point C:** It then spans to point (0, 1), represented by another black hollow circle.- **Point D:** The line progresses and concludes at point (1, 3), denoted by a solid black dot.**Line 2:**- **Point E:** The second line starts from point (1, 1), indicated by a black hollow circle.- **Point F:** It extends towards point (2, 0), marked by a solid black dot.- **Point G:** Finally, the line travels to end at point (3, -2), also denoted by a solid black dot.**Key Observations:**1. The hollow circles indicate points at which the graph does not include the point itself.2. The solid black dots indicate included points.3. The lines demonstrate linear relationships but may correspond to piecewise functions or segments of different linear functions.This graph is valuable for understanding the behavior and properties of linear segments, particularly in demonstrating concepts like domain restrictions, piecewise functions, and including versus excluding endpoints.

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Answered: Shown is a graph of y=f(x) Is this…

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Algebra

Shown is a graph of y=f(x) Is this function even,odd, or neither? Explain your answers briefly.

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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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

Shown is a graph of y=f(x) Is this function even,odd, or neither? Explain your answers briefly.

**Graph Interpretation**

This graph includes two distinct lines, each illustrating particular relationships between the variables $ x $ and $ y $ on a Cartesian coordinate plane.

**Axes**
- The horizontal axis represents the $ x $-axis.
- The vertical axis represents the $ y $-axis.

**Line 1:**
- **Point A:** The line originates at point (-3, -1), which is represented by a solid black dot.
- **Point B:** It continues to point (-1, 0), marked by a black hollow circle (indicating an endpoint not included).
- **Point C:** It then spans to point (0, 1), represented by another black hollow circle.
- **Point D:** The line progresses and concludes at point (1, 3), denoted by a solid black dot.

**Line 2:**
- **Point E:** The second line starts from point (1, 1), indicated by a black hollow circle.
- **Point F:** It extends towards point (2, 0), marked by a solid black dot.
- **Point G:** Finally, the line travels to end at point (3, -2), also denoted by a solid black dot.

**Key Observations:**
1. The hollow circles indicate points at which the graph does not include the point itself.
2. The solid black dots indicate included points.
3. The lines demonstrate linear relationships but may correspond to piecewise functions or segments of different linear functions.

This graph is valuable for understanding the behavior and properties of linear segments, particularly in demonstrating concepts like domain restrictions, piecewise functions, and including versus excluding endpoints.

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