## Piecewise Functions and Their Values### Given the following piecewise function:(Graph Description)This graph displays a piecewise function composed of line segments and points on a coordinate plane. The x-axis ranges from -7 to 7, and the y-axis ranges from -7 to 7. **Graph Analysis:**- The segment from $x = -7$ to $x = -6$ is decreasing, transitioning from the point (-7, -3) to (-6, -5).- From $x = -6$ to $x = -3$, the function has a decreasing linear segment, moving from (-6, -5) to (-3, -3).- The segment between $x = -3$ and $x = -2$ is undefined at $x = -3$ (open circle) and defined at $x = -2$ with the point (-2, -4).- For $x = -2$ to $x = 2$, the graph is a horizontal line at $y = -4$.- From $x = 2$ to $x = 3$, there is a jump discontinuity; the function jumps to the point (3, -4) and moves to (3, -5) as indicated by the closed point to open point, respectively.- The segment from $x = 3$ to $x = 5$ is undefined at $x = 3$ (open circle), and defined through $x = 5$ at the point (5, -2).- Finally, there is a line segment increasing from $x = 5$ to $x = 6$, ending at the point (6, 5).### Exercises:Using the graph, determine the values of the function at specified points.1. **Find $f(-4)$:**2. **Find $f(2)$:***Note: Interpret the graph carefully, examining where the function is defined and how the segments connect.*

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Description: ## Piecewise Functions and Their Values### Given the following piecewise function:(Graph Description)This graph displays a piecewise function composed of line segments and points on a coordinate plane. The x-axis ranges from -7 to 7, and the y-axis

Solution: The objective is to find the given values from the given graph

Answered: Given the following piecewise function:…

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Given the following piecewise function: 7+ 5 4 -7 -0 -5 -4 -3 -2 -1 -1 1 2 3 4 -2- -3 -5 --6- -7 Find the following: f( – 4) = f(2) = 2.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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## Piecewise Functions and Their Values

### Given the following piecewise function:

(Graph Description)
This graph displays a piecewise function composed of line segments and points on a coordinate plane. The x-axis ranges from -7 to 7, and the y-axis ranges from -7 to 7.

**Graph Analysis:**
- The segment from $x = -7$ to $x = -6$ is decreasing, transitioning from the point (-7, -3) to (-6, -5).
- From $x = -6$ to $x = -3$, the function has a decreasing linear segment, moving from (-6, -5) to (-3, -3).
- The segment between $x = -3$ and $x = -2$ is undefined at $x = -3$ (open circle) and defined at $x = -2$ with the point (-2, -4).
- For $x = -2$ to $x = 2$, the graph is a horizontal line at $y = -4$.
- From $x = 2$ to $x = 3$, there is a jump discontinuity; the function jumps to the point (3, -4) and moves to (3, -5) as indicated by the closed point to open point, respectively.
- The segment from $x = 3$ to $x = 5$ is undefined at $x = 3$ (open circle), and defined through $x = 5$ at the point (5, -2).
- Finally, there is a line segment increasing from $x = 5$ to $x = 6$, ending at the point (6, 5).

### Exercises:
Using the graph, determine the values of the function at specified points.

1. **Find $f(-4)$:**

2. **Find $f(2)$:**

*Note: Interpret the graph carefully, examining where the function is defined and how the segments connect.*

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