The image presents a graph with a piecewise function and asks to express this function in its mathematical form. Below is a detailed description and transcription based on the content of the image:### Graph DescriptionThe graph consists of two distinct linear segments:1. **Left Segment:** - **Line:** Starts at the open circle on the y-axis at \( y = 10 \), moving downward with a negative slope, until it reaches a point just before \( x = -2 \). - **Line Equation:** This segment can be approximated as a line with a negative slope. - **Domain:** \( x < -2 \).2. **Right Segment:** - **Line:** Begins at an open circle on the graph at \( x = 2, y = 3 \) and moves with a negative slope, going through \( x = 10 \). - **Line Equation:** This segment appears as a straight line trending downward. - **Domain:** \( x \geq 2 \).### Piecewise Function RepresentationThe function \( f(x) \) can be expressed in a piecewise manner, capturing the behavior described above:\[ f(x) = \begin{cases} -3x - 4 & \text{for } x < -2 \\-x + 3 & \text{for } x \geq 2\end{cases}\]### Explanation- For the domain \( x < -2 \), the corresponding line segment has a formula possibly representing a negative slope that decreases as x decreases. The line starts from \( y = 10 \) on the y-axis. - For the domain \( x \geq 2 \), the line follows a downward slope. It starts from a point above the axis and ends extending towards the negative y-values as x increases.Note: The exact equations are approximations based on typical linear function format \((y = mx + b)\), matching the pattern observed on the graph where \(m\) is the slope and \(b\) is the y-intercept.

Answered: Express the function graphed on the…

Express the function graphed on the axes below as a piecewise function. 10 8. 6.

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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