<![CDATA[
<p> <!--StartFragment--></p><p class="0" style="letter-spacing: 0pt; -ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt; mso-font-width: 100%; mso-text-raise: 0pt;"><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">지수함수에 대해서 궁금해서요</span><span style="letter-spacing: 0pt; font-family: 함초롬바탕; font-size: 10pt; mso-font-width: 100%; mso-text-raise: 0pt;">...</span></p><p class="0" style="-ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt;"><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">일반적으로 </span><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x158519952" style="v-text-anchor:top;width:27.45pt;height:11.63pt;" type="#_x0000_t75"><v:imagedata o:title="DRW000017b45617" src="file:///C:\Users\ADMINI~1\AppData\Local\Temp\DRW000017b45617.gif"/><w:wrap type="topAndBottom"/></v:shape><![endif]--><span style="font-size: 10pt;"> </span><!--[if !vml]--><img width="27" height="11" alt="" src="data:image/png;base64,R0lGODlhJgAQAPQAAAAAAAAAOgA6kDoAZjo6AGYAAGZmtma2/5BmkJDb25Db/7ZmOraQkLb//9uQOtuQZtv/ttv///+2Zv/bkP/b2///tv///wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACH5BAAAABYALAAAAAAmABAAAAVSoCWOZGmeaKqubOu+cCy/kgAVs1sZ09DkLUrkoQC2FglEhCECAEZPqHM6PVUtjgABcLA8o95ZFGyFysDkElpNpZLWKThsnX47c9W6SW9UN/spIQA7" v:shapes="_x158519952"><!--[endif]--><span style="font-size: 10pt;"> </span><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">에서요</span></p><p class="0" style="letter-spacing: 0pt; -ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt; mso-font-width: 100%; mso-text-raise: 0pt;"><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">지수가 유리수로 확장되면 </span><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x158520752" style="v-text-anchor:top;width:5.25pt;height:9.75pt;" type="#_x0000_t75"><v:imagedata o:title="DRW000017b45619" src="file:///C:\Users\ADMINI~1\AppData\Local\Temp\DRW000017b45619.gif"/><w:wrap type="topAndBottom"/></v:shape><![endif]--><span style="font-size: 10pt;"> </span><!--[if !vml]--><img width="5" height="9" alt="" src="data:image/png;base64,R0lGODlhCAANAPQAAAAAAAAAOgA6kABmkDoAADoAOjoAZjqQ22YAZma2/5A6AJA6ZpDb/7ZmALb//9uQOtv/29v///+2Zv/bkP//tv//2////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACH5BAAAABYALAAAAAAIAA0AAAUuoCWOZGme6DkRwLCIU8FYj2BVyiFK+mQ4okbCIhFELBQE0OfACSCiByDAkARQIQA7" v:shapes="_x158520752"><!--[endif]--><span style="font-size: 10pt;"> </span><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">의 범위가 양수라는 것을 배웠는데요</span><span style="letter-spacing: 0pt; font-family: 함초롬바탕; font-size: 10pt; mso-font-width: 100%; mso-text-raise: 0pt;">...</span></p><p class="0" style="-ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt;"><span style="font-family: 함초롬바탕;"><span style="font-size: 10pt;"> </span><!--[if !supportEmptyParas]--><span style="font-size: 10pt;"> </span><!--[endif]--><span style="font-size: 10pt;"> </span></span></p><p class="0" style="letter-spacing: 0pt; -ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt; mso-font-width: 100%; mso-text-raise: 0pt;"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x158521712" style="v-text-anchor:top;width:30.85pt;height:20.42pt;" type="#_x0000_t75"><v:imagedata o:title="DRW000017b4561b" src="file:///C:\Users\ADMINI~1\AppData\Local\Temp\DRW000017b4561b.gif"/><w:wrap type="topAndBottom"/></v:shape><![endif]--><span style="font-size: 10pt;"> </span><!--[if !vml]--><img width="30" height="20" alt="" src="data:image/png;base64,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" v:shapes="_x158521712"><!--[endif]--><span style="font-size: 10pt;"> </span><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">이라는 함수는 그래프 개형이 실수 전체에서 만들어지는</span><span style="letter-spacing: 0pt; font-family: 함초롬바탕; mso-font-width: 100%; mso-text-raise: 0pt;"><span style="font-size: 10pt;">...</span><span style="letter-spacing: 0pt; font-family: 함초롬바탕; font-size: 10pt; mso-font-width: 100%; mso-text-raise: 0pt;"></span></span></p><p class="0" style="letter-spacing: 0pt; -ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt; mso-font-width: 100%; mso-text-raise: 0pt;"><span style="letter-spacing: 0pt; font-family: 함초롬바탕; font-size: 10pt; mso-font-width: 100%; mso-text-raise: 0pt;">(</span><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">울프람알파를 돌려보니</span><span style="letter-spacing: 0pt; font-family: 함초롬바탕; font-size: 10pt; mso-font-width: 100%; mso-text-raise: 0pt;">....)</span></p><p class="0" style="-ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt;"><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">저 함수의 </span><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x158526384" style="v-text-anchor:top;width:23.70pt;height:9.75pt;" type="#_x0000_t75"><v:imagedata o:title="DRW000017b4561d" src="file:///C:\Users\ADMINI~1\AppData\Local\Temp\DRW000017b4561d.gif"/><w:wrap type="topAndBottom"/></v:shape><![endif]--><span style="font-size: 10pt;"> </span><!--[if !vml]--><img width="23" height="9" alt="" src="data:image/png;base64,R0lGODlhIQANAPQAAAAAAAAAOgAAZgA6kABmtjoAADo6kDqQtjqQ22YAAGY6OmaQ22a2/5A6AJA6OpA6ZpCQ25Db/7ZmALaQOrb//9uQOtuQZtu2ttv///+2Zv/bkP//tv//2////wAAAAAAACH5BAAAAB0ALAAAAAAhAA0AAAVtYCeOZGmeaKqubCtuCSBQbss1TJcNWL1qhh7HERlJeJVAUaQpAJ5QgHK063UkuU6FoVEccD4twYjobCC6cakZhU5FFfW1PLIswzqeCJvmPGgXVjVAQkRaCBlKGgt4NzlVHU0DEwB6eDAyNHg1IQA7" v:shapes="_x158526384"><!--[endif]--><span style="font-size: 10pt;"> </span><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">에서의 미분가능성도 궁금하구요</span></p><p class="0" style="-ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt;"><span style="font-family: 함초롬바탕;"><span style="font-size: 10pt;"> </span><!--[if !supportEmptyParas]--><span style="font-size: 10pt;"> </span><!--[endif]--><span style="font-size: 10pt;"> </span></span></p><p class="0" style="letter-spacing: 0pt; -ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt; mso-font-width: 100%; mso-text-raise: 0pt;"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x158527184" style="v-text-anchor:top;width:30.85pt;height:20.42pt;" type="#_x0000_t75"><v:imagedata o:title="DRW000017b4561f" src="file:///C:\Users\ADMINI~1\AppData\Local\Temp\DRW000017b4561f.gif"/><w:wrap type="topAndBottom"/></v:shape><![endif]--><span style="font-size: 10pt;"> </span><!--[if !vml]--><img width="30" height="20" alt="" src="data:image/png;base64,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" v:shapes="_x158527184"><!--[endif]--><span style="font-size: 10pt;"> </span><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">는 양수에서만 정의되는 함수로 그려지든데</span><span style="letter-spacing: 0pt; font-family: 함초롬바탕; font-size: 10pt; mso-font-width: 100%; mso-text-raise: 0pt;">.....</span></p><p class="0" style="-ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt;"><span style="font-family: 함초롬바탕;"><span style="font-size: 10pt;"> </span><!--[if !supportEmptyParas]--><span style="font-size: 10pt;"> </span><!--[endif]--><span style="font-size: 10pt;"> </span></span></p><p class="0" style="letter-spacing: 0pt; -ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt; mso-font-width: 100%; mso-text-raise: 0pt;"><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">그 이유가 홀수 형태면 특히</span><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x158528544" style="v-text-anchor:top;width:30.85pt;height:20.42pt;" type="#_x0000_t75"><v:imagedata o:title="DRW000017b45621" src="file:///C:\Users\ADMINI~1\AppData\Local\Temp\DRW000017b45621.gif"/><w:wrap type="topAndBottom"/></v:shape><![endif]--><span style="font-size: 10pt;"> </span><!--[if !vml]--><img width="30" height="20" alt="" src="data:image/png;base64,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" v:shapes="_x158528544"><!--[endif]--><span style="font-size: 10pt;"> </span><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">이건 세제곱해서 만들어지는 숫자가 가능 해서 음수도 정의 한건가요</span><span style="letter-spacing: 0pt; font-family: 함초롬바탕; font-size: 10pt; mso-font-width: 100%; mso-text-raise: 0pt;">?</span></p><p class="0" style="letter-spacing: 0pt; -ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt; mso-font-width: 100%; mso-text-raise: 0pt;"><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">지수 법칙에 의하면 아에 음수 자체에서 정의가 안되어지는거 아닌가요</span><span style="letter-spacing: 0pt; font-family: 함초롬바탕; font-size: 10pt; mso-font-width: 100%; mso-text-raise: 0pt;">?</span></p><p class="0" style="-ms-text-autospace:; mso-pagination: none; mso-padding-alt: 0pt 0pt 0pt 0pt;"><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">복소수 까지 확장 하면</span><span style="letter-spacing: 0pt; font-family: 함초롬바탕; font-size: 10pt; mso-font-width: 100%; mso-text-raise: 0pt;">....???</span><span style="font-size: 10pt; mso-fareast-font-family: 함초롬바탕;">알려주세요 </span><span style="letter-spacing: 0pt; font-size: 10pt; mso-font-width: 100%; mso-text-raise: 0pt; mso-fareast-font-family: 함초롬바탕;">ㅠㅠ</span></p>
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카페 게시글
질문과 답(구)
지수 함수 특히 y=x^(1/3)에 대해서요 ㅠㅠ
호롱뷸
추천 0
조회 420
15.09.23 19:49
댓글 2
북마크 번역하기 공유하기 기능 더보기
다음검색
첫댓글 y=x^1/3 y=x^1/5 등등은 지수함수 라기보다는 일종의 무리함수 확장이라 보는게 타당할듯 합니다. 보통 무리함수의 정의역은 함수값이 실수가 나오는 x의 범위를 정의역으로 보기 때문에 x^1/2, x^1/4 등은 근호안이 0보다 큰 범위로 정의되지만 음수들의 홀수 제곱근들은 실수 이므로 x^1/3, x^1/5 등은 실수 전체에서 함수가 정의될수 있습니다. 고등과정에서 지수함수라 함은 밑 a 가 정의역 내지는 변수가 아니라 지수쪽이 변수인 함수들은 말하겠죠. 지수 함수들의 밑 a에 대한 제한조건은 정의역의 제한이라기 보다는 a가 음수일때 (예를 들어 (-2)^x ) x가 실수 전체일때 실수 함수값이 항상 나오지 않으므로 고등과정에서는
함수값이 항상 실수가 나오는 밑이 양수인 것만 다루는 걸로 알고 있습니다.