Cálculo diferencial/FUNCIONES/FÁCILES 2FF-CD - Funciones - F - Iny. y Sobrey. - Definir Intervalo que Biyectivo 2FF

Dada la función «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»f«/mi»«/math».

Defina los extremos de un intervalo «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»[«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»b«/mi»«mo»]«/mo»«/math» tal que «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math» sea biyectiva en este.

]]> 1.0000000 0.3333333 0 0 a=#xxb=#yy]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aa</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>bb</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cc</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>aa</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>bb</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>cc</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mo>-</mo><mi>bb</mi><mo>/</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>aa</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>xx</mi><mo>=</mo><mo>-</mo><mi>bb</mi><mo>/</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>aa</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>yy</mi><mo>=</mo><mi>xx</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>test</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo><mo>:</mo><mo>=</mo><mo>(</mo><mo>(</mo><mi>a</mi><mo>-</mo><mi>k</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>b</mi><mo>-</mo><mi>k</mi><mo>)</mo><mo>⩾</mo><mn>0</mn><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>#</mo><mi>x</mi><mi>x</mi><mspace linebreak="newline"/><mi>b</mi><mo>=</mo><mo>#</mo><mi>y</mi><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_function"><param name="name">test</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question>