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Consider the function f(x, y), defined for x E R, y E R as follows: x + y for x > 0 and y > 0 { for x > 0 and y < 0 for x < 0 and y > 0 ху f(x) = х — у xly for x < 0 and y < 0

Consider the function f(x, y), defined for x E R, y E R as follows: x + y for x > 0 and y > 0 { for x > 0 and y < 0 for x < 0 and y > 0 ху f(x) = х — у xly for x < 0 and y < 0

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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a) Write a Python function called func_xy that takes values x and y as arguments and returns the appropriate value of f(x,y).

b) Demonstrate that the function works for all relevant cases by inputting different example values.

Consider the function \( f(x, y) \), defined for \( x \in \mathbb{R} \), \( y \in \mathbb{R} \) as follows: \[ f(x, y) = \begin{cases} x + y & \text{for } x \geq 0 \text{ and } y \geq 0 \\ xy & \text{for } x \geq 0 \text{ and } y < 0 \\ x - y & \text{for } x < 0 \text{ and } y \geq 0 \\ x/y & \text{for } x < 0 \text{ and } y < 0 \end{cases} \]
Transcribed Image Text:Consider the function \( f(x, y) \), defined for \( x \in \mathbb{R} \), \( y \in \mathbb{R} \) as follows: \[ f(x, y) = \begin{cases} x + y & \text{for } x \geq 0 \text{ and } y \geq 0 \\ xy & \text{for } x \geq 0 \text{ and } y < 0 \\ x - y & \text{for } x < 0 \text{ and } y \geq 0 \\ x/y & \text{for } x < 0 \text{ and } y < 0 \end{cases} \]
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