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<div style="text-align: center;"> <span style="color: #333333;"><span style="font-size: x-small;"> </span></span><img class="rg_i" data-sz="f" name="t50wJQgw0Gde7M:" 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" style="height: 180px; margin-left: 0px; margin-top: 0px; width: 246px;"></div> <span style="color: #333333;"><span style="font-size: x-small;">ในเรื่องความสัมพันธ์  <span style="color: blue;">โดเมน</span> (Domain; D) คือ <span style="color: blue;">สมาชิกตัวหน้าของคู่อันดับ</span> <br>ส่วน <span style="color: blue;">เรนจ์</span> (Range; R) คือ <span style="color: blue;">สมาชิกตัวหลังของคู่อันดับ</span></span></span><br> <span style="color: #333333;"><span style="font-size: x-small;">ในตัวอย่าง r = {(x,y) <img align="middle" alt="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8712;«/mo»«/math»" border="0" class="Wirisformula" src="http://www.scimath.org/plugins/editors/tinymce/jscripts/tiny_mce/plugins/tiny_mce_wiris/integration/showimage.php?formula=5ce234fcffa87bc9bfac1551696135b6.png" title="Double click to edit"> AxB | x หาร y ลงตัว}  เราได้ r = {(2,4), (2,10), (4,4), (5,10)}</span></span><br> <span style="color: #333333;"><span style="font-size: x-small;">ดังนั้น <img align="middle" alt="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»D«/mi»«mi»r«/mi»«/msub»«mo»=«/mo»«mo»{«/mo»«mn»2«/mn»«mo»,«/mo»«mn»4«/mn»«mo»,«/mo»«mn»5«/mn»«mo»}«/mo»«/math»" border="0" class="Wirisformula" src="http://www.scimath.org/plugins/editors/tinymce/jscripts/tiny_mce/plugins/tiny_mce_wiris/integration/showimage.php?formula=e319b1e94d48cfa0a2b99d49c923096b.png" title="Double click to edit"> ส่วน <img align="middle" alt="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»R«/mi»«mi»r«/mi»«/msub»«mo»=«/mo»«mo»{«/mo»«mn»4«/mn»«mo»,«/mo»«mn»10«/mn»«mo»}«/mo»«/math»" border="0" class="Wirisformula" src="http://www.scimath.org/plugins/editors/tinymce/jscripts/tiny_mce/plugins/tiny_mce_wiris/integration/showimage.php?formula=dfac54b6897e2f17b0769eb98892fa41.png" title="Double click to edit"></span></span><br> <span style="color: #333333;"><span style="font-size: x-small;">กล่าวได้ว่า ถ้ามีความสัมพันธ์จาก A ไป B แล้ว <img align="middle" alt="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»D«/mi»«mi»r«/mi»«/msub»«mo»§#8834;«/mo»«mi»A«/mi»«/math»" border="0" class="Wirisformula" src="http://www.scimath.org/plugins/editors/tinymce/jscripts/tiny_mce/plugins/tiny_mce_wiris/integration/showimage.php?formula=471205e819c24163ff0b2467e1693c82.png" title="Double click to edit"> และ <img align="middle" alt="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»R«/mi»«mi»r«/mi»«/msub»«mo»§#8834;«/mo»«mi»B«/mi»«/math»" border="0" class="Wirisformula" src="http://www.scimath.org/plugins/editors/tinymce/jscripts/tiny_mce/plugins/tiny_mce_wiris/integration/showimage.php?formula=5575f82644c1e8eb46811ab7aff53a54.png" title="Double click to edit"></span></span><br> <span style="color: #333333;"><span style="font-size: x-small;">การหาโดเมนและเรนจ์ของความสัมพันธ์ภายใน R ซึ่งโจทย์กำหนดมาในรูปแบบของสมการต่างๆ <br> ถ้าเป็นไปได้ ถ้าจะหาโดเมนควรจัดรูปสมการให้เป็น y=… ส่วนการหาเรนจ์ให้จัดรูปสมการเป็น x=… ก่อน แล้วจึงค่อยพิจารณานะคะ</span></span><br> <span style="color: #333333;"><span style="font-size: x-small;"></span></span><br>

โดเมนและเรนจ์

  ในเรื่องความสัมพันธ์  โดเมน (Domain; D) คือ สมาชิกตัวหน้าของคู่อันดับ ส่วน เรนจ์ (Range; R) คือ สมาชิกตัวหลังของคู่อันดับ ในตัวอย่าง...

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