I only need help with D and E, but if the whole problem gets solved that is fine. ### Consider the Graph of the Function Shown Here#### Explanation of the GraphThis graph represents a function in the Cartesian coordinate system. The $ x $-axis ranges from $-5$ to $5$ and the $ y $-axis ranges from $-5$ to $5$. The graph depicts various points and lines annotated with their corresponding coordinates. Key points and segments are labeled for clarity:- The function intersects the y-axis at the point $(-1, 4)$.- The function has a constant segment between $(-3, 2)$ and $(-1, 2)$.- It intersects the x-axis at the points $(-3, 0)$ and $(-1, 2)$.- It continues to go downwards crossing the y-axis and goes beyond $-5$ on the x-axis. #### Tasks:**State the interval(s) over which the function is:**- (a) Increasing: - The function is increasing in the interval $ x \in (-3, -1] $.- (b) Decreasing: - The function is decreasing in the interval $ x \in (-1, \infty) $.- (c) Constant: - The function is constant in the interval $ x \in [-3, -1] $.**Determine:**- (d) Domain of the function: - The domain of the function is $ x \in (-\infty, \infty) $.- (e) Range of the function: - The range of the function is $ y \in (-\infty, 4] $.#### Graph AnalysisThe graph shows key features that help us understand the behavior of the function over different intervals. By examining the coordinates and the directions of the graph sections, we can determine where the function is increasing, decreasing, or remaining constant. These aspects are important when analyzing and understanding functions in mathematics.Visit our educational website for more detailed explanations and resources on graphing functions and analyzing their behavior.

Answered: Image /qna-images/answer/bda7134e-64b7-48dc-b9fa-7ea208300c9d.jpg

Answered: State the interval(s) over which the…

State the interval(s) over which the function is (a) increasing (b) decreasing (c) constant (d) domain of the function (e) range of the function

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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I only need help with D and E, but if the whole problem gets solved that is fine.

### Consider the Graph of the Function Shown Here

#### Explanation of the Graph

This graph represents a function in the Cartesian coordinate system. The $ x $-axis ranges from $-5$ to $5$ and the $ y $-axis ranges from $-5$ to $5$. The graph depicts various points and lines annotated with their corresponding coordinates. Key points and segments are labeled for clarity:

- The function intersects the y-axis at the point $(-1, 4)$.
- The function has a constant segment between $(-3, 2)$ and $(-1, 2)$.
- It intersects the x-axis at the points $(-3, 0)$ and $(-1, 2)$.
- It continues to go downwards crossing the y-axis and goes beyond $-5$ on the x-axis.

#### Tasks:

**State the interval(s) over which the function is:**

- (a) Increasing:

- The function is increasing in the interval $ x \in (-3, -1] $.

- (b) Decreasing:

- The function is decreasing in the interval $ x \in (-1, \infty) $.

- (c) Constant:

- The function is constant in the interval $ x \in [-3, -1] $.

**Determine:**

- (d) Domain of the function:

- The domain of the function is $ x \in (-\infty, \infty) $.

- (e) Range of the function:

- The range of the function is $ y \in (-\infty, 4] $.

#### Graph Analysis

The graph shows key features that help us understand the behavior of the function over different intervals. By examining the coordinates and the directions of the graph sections, we can determine where the function is increasing, decreasing, or remaining constant. These aspects are important when analyzing and understanding functions in mathematics.

Visit our educational website for more detailed explanations and resources on graphing functions and analyzing their behavior.

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