Algebra/Unit 7 Quiz 1/Objective 1 and 3 D and R
Domain and Range 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»State«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»domain«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»range«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»below«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«mo»#«/mo»«msup»«mi»b«/mi»«mrow»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«/mrow»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Please«/mi»«mo»§#160;«/mo»«mi»state«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»domain«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»range«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»inequalities«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»Remember«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»if«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»domain«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»/«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»range«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»all«/mi»«mo»§#160;«/mo»«mi»real«/mi»«mspace linebreak=¨newline¨/»«mi»numbers«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»use«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»§#8477;«/mi»«mo».«/mo»«/math»]]>
3.0000000
0.3333333
0
0
domain=#domrange=y>#k]]>
domain=#domrange=f(x)>#k]]>
<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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>b</mi><mo>≠</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom</mi><mo>=</mo><mi>domain</mi><mo>(</mo><mi>a</mi><mo>*</mo><msup><mi>b</mi><mrow><mi>x</mi><mo>-</mo><mi>h</mi></mrow></msup><mo>+</mo><mi>k</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi>y</mi><mo>></mo><mo>#</mo><mi>k</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>></mo><mo>#</mo><mi>k</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"/></localData></question>
Domain and Range 2
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3.0000000
0.3333333
0
0
domain=#domrange=y>#p]]>
domain=#domrange=f(x)>#p]]>
<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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>b</mi><mo>≠</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mo>-</mo><mi>k</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom</mi><mo>=</mo><mi>domain</mi><mo>(</mo><mi>a</mi><mo>*</mo><msup><mi>b</mi><mrow><mi>x</mi><mo>+</mo><mi>h</mi></mrow></msup><mo>-</mo><mi>k</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi>y</mi><mo>></mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>></mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"/></localData></question>
Domain and Range 3
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3.0000000
0.3333333
0
0
domain=#domrange=y<#k]]>
domain=#domrange=f(x)<#k]]>
<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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>b</mi><mo>≠</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom</mi><mo>=</mo><mi>domain</mi><mo>(</mo><mi>a</mi><mo>*</mo><msup><mi>b</mi><mrow><mi>x</mi><mo>-</mo><mi>h</mi></mrow></msup><mo>+</mo><mi>k</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi>y</mi><mo><</mo><mo>#</mo><mi>k</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo><</mo><mo>#</mo><mi>k</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"/></localData></question>
Domain and Range 4
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3.0000000
0.3333333
0
0
domain=#domrange=y<#p]]>
domain=#domrange=f(x)<#p]]>
<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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>b</mi><mo>≠</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mo>-</mo><mi>k</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom</mi><mo>=</mo><mi>domain</mi><mo>(</mo><mi>a</mi><mo>*</mo><msup><mi>b</mi><mrow><mi>x</mi><mo>+</mo><mi>h</mi></mrow></msup><mo>-</mo><mi>k</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi>y</mi><mo><</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo><</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"/></localData></question>