Question 1. Sketch the following regions in the xy-plane. Make sure to shade the region and label the x-axis and y-axis. (a) The rectangular region R = [−3, 4] × [-1,2] (This means all points (x, y) such that −3 ≤ x ≤ 4 and − 1 ≤ y ≤ 2). (b) The region D enclosed by y = 4 - 2x, x = 2, y = 4. (c) The region D that consists of points (x, y) such that 0 ≤ x ≤ 4, √√√x ≤ y ≤ 2.
Question 1. Sketch the following regions in the xy-plane. Make sure to shade the region and label the x-axis and y-axis. (a) The rectangular region R = [−3, 4] × [-1,2] (This means all points (x, y) such that −3 ≤ x ≤ 4 and − 1 ≤ y ≤ 2). (b) The region D enclosed by y = 4 - 2x, x = 2, y = 4. (c) The region D that consists of points (x, y) such that 0 ≤ x ≤ 4, √√√x ≤ y ≤ 2.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 24WE
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![**Question 1.** Sketch the following regions in the xy-plane. Make sure to **shade the region** and label the x-axis and y-axis.
(a) The rectangular region \( R = [-3, 4] \times [-1, 2] \) (This means all points \((x, y)\) such that \( -3 \leq x \leq 4 \) and \( -1 \leq y \leq 2 \)).
(b) The region \( D \) enclosed by \( y = 4 - 2x \), \( x = 2 \), \( y = 4 \).
(c) The region \( D \) that consists of points \((x, y)\) such that \( 0 \leq x \leq 4 \), \( \sqrt{x} \leq y \leq 2 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce103448-bb42-42ed-bd7d-674364c62c4d%2F4f2324db-2890-4ec8-aca1-0b04cfeec503%2Ff506e1s_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 1.** Sketch the following regions in the xy-plane. Make sure to **shade the region** and label the x-axis and y-axis.
(a) The rectangular region \( R = [-3, 4] \times [-1, 2] \) (This means all points \((x, y)\) such that \( -3 \leq x \leq 4 \) and \( -1 \leq y \leq 2 \)).
(b) The region \( D \) enclosed by \( y = 4 - 2x \), \( x = 2 \), \( y = 4 \).
(c) The region \( D \) that consists of points \((x, y)\) such that \( 0 \leq x \leq 4 \), \( \sqrt{x} \leq y \leq 2 \).
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