Algebra
Functii-s1v1-3(10)-clone-1
Se dă funcția «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»§#160;«/mo»«mo»:«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»-«/mo»«mn»1«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#8734;«/mo»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#8594;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»b«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#8734;«/mo»«mo»§#160;«/mo»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«/math»]]>
Graficul functiei f : #h]]>
1.0000000
0.3333333
0
false
true
abc
Functia f #s]]>
Functia f #t]]>
Functia f #u]]>
Functia f #fs]]>
Functia f #ft]]>
Functia f #fu]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mi>f</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>b1</mi><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>{</mo><mi>b1</mi><mo>,</mo><mi>b2</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mo>"</mo><mi>este</mi><mo> </mo><mi>surjectiva</mi><mo>"</mo><mo>;</mo><mi>s2</mi><mo>=</mo><mo>"</mo><mi>nu</mi><mo> </mo><mi>este</mi><mo> </mo><mi>surjectiva</mi><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mi>este</mi><mo> </mo><mi>bijectiva</mi><mo>"</mo><mo>;</mo><mi>t2</mi><mo>=</mo><mo>"</mo><mi>nu</mi><mo> </mo><mi>este</mi><mo> </mo><mi>bijectiva</mi><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mo>"</mo><mi>strict</mi><mo> </mo><mi>crescatoare</mi><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fu</mi><mo>=</mo><mo>"</mo><mi>strict</mi><mo> </mo><mi>descrescatoare</mi><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>b</mi><mo>=</mo><mi>b1</mi></mrow><mrow><mi>s</mi><mo>=</mo><mi>s1</mi><mo>;</mo><mi>t</mi><mo>=</mo><mi>t1</mi><mo>;</mo><mi>fs</mi><mo>:</mo><mo>=</mo><mi>s2</mi><mo>,</mo><mi>ft</mi><mo>:</mo><mo>=</mo><mi>t2</mi><mo>;</mo></mrow><mrow><mi>s</mi><mo>=</mo><mi>s2</mi><mo>;</mo><mi>t</mi><mo>=</mo><mi>t2</mi><mo>;</mo><mi>fs</mi><mo>=</mo><mi>s1</mi><mo>;</mo><mi>ft</mi><mo>=</mo><mi>t1</mi><mo>;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>=</mo><mi>point</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mi>b1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>plot</mi><mo>(</mo><mo>{</mo><mi>f</mi><mo>,</mo><mi>P</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi><mo>=</mo><mi>write</mi><mo>(</mo><mo>"</mo><mi>Imf</mi><mo> </mo><mo>=</mo><mo> </mo><mo>(</mo><mo> </mo><mo>"</mo><mo>|</mo><mi>b1</mi><mo>|</mo><mo>"</mo><mo>,</mo><cn>+∞</cn><mo>)</mo><mo>"</mo><mo>,</mo><mi>point</mi><mo>(</mo><mn>0</mn><mo>,</mo><mi>b1</mi><mo>)</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fs</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>este</ms><mo> </mo><ms>surjectiva</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ft</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>este</ms><mo> </mo><ms>bijectiva</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>nu</ms><mo> </mo><ms>este</ms><mo> </mo><ms>surjectiva</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>plotter1</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>plotter1</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><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="casSession"></data></localData></question>