need help answering the image below. **Instructions:**Find the symbolic form of the piecewise function shown below. Make certain to show appropriate work beyond just guessing and checking in Desmos (e.g., slope calculations, etc.).**Graph Explanation:**The graph consists of two line segments:1. **First Line Segment:** - Begins at the point (0, 4) and ends at (2, -2). - The slope (m) can be calculated as: \[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{-2 - 4}}{{2 - 0}} = \frac{{-6}}{2} = -3 \] - Therefore, the equation of this line is \(y = -3x + 4\).2. **Second Line Segment:** - Begins at the point (2, -2) and ends at (8, 4). - The slope (m) is: \[ m = \frac{{4 - (-2)}}{{8 - 2}} = \frac{6}{6} = 1 \] - Therefore, the equation of this line is \(y = x - 4\).**Piecewise Function:**The piecewise function can be described as:\[f(x) = \begin{cases} -3x + 4 & \text{for } 0 \leq x < 2 \\x - 4 & \text{for } 2 \leq x \leq 8 \end{cases}\]The points at x = 0, x = 2, and x = 8 are carefully marked on the graph. Note the open circle at (2, -2) indicating the endpoint of the first line and closed circle indicating the start of the second line at that point.

Answered: Find the symbolic form of the piecewise…

Find the symbolic form of the piecewise function show below. Make certain to show appropriate work beyond just guessing and checking in Desmos (e.g., slope calculations, etc.).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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