Pre-Calc/Chapter 2: Polynomial, Power, and Rational Functions/2.2 Power Functions and Modeling/2.2.1 Power Function Basics Degree and Leading Coefficient Determine if the function is a monomial function. If it is, state the degree and leading coefficient.
 
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msup»«/math»
]]> 1.0000000 0.3333333 0 true true ABCD Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> Degree is #b ; leading coefficient is #a

]]> Correct

]]> Degree is #a ; leading coefficient is #b

]]> Incorrect

]]> Degree is #b ; leading coefficient is #c

]]> Incorrect

]]> Degree is «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«/mfrac»«/math» ; leading coefficient is #a

]]> Incorrect

]]> Not a monomial function

]]> Incorrect

]]> <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><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><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">repeat</csymbol><mrow/><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mo>-</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><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"/></localData></question> Determine if the function is a monomial function (given that c and k ... Determine if the function is a monomial function (given that c and k represent constants). If it is, state the degree and leading coefficient.

f = -9 ∙ x2 ]]> 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 1.0000000 0.3333333 0 true true abc Degree is -9; leading coefficient is 2 Incorrect Degree is 2; leading coefficient is 9 Incorrect Not a monomial function Incorrect Degree is 2; leading coefficient is -9 Correct Determine whether the power function is even, odd, or neither.f = 6x1/3 Determine whether the power function is even, odd, or neither.

f = 6x1/3]]> 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 1.0000000 0.3333333 0 true true abc Neither Incorrect Odd Correct Even Incorrect Solve the problem.The table shows the population of a certain city in various... Solve the problem.

The table shows the population of a certain city in various years. The population of the city f(x), in hundreds of thousands, can be modeled by f(x) = axb, where x represents the number of years since 1980. Estimate the population of the city in the year 1999. (You will first need to use regression to estimate the values of a and b).

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1.0000000 0.3333333 0 true true ABCD 1,068,993

]]> Correct

]]> 1,176,394

]]> Incorrect

]]> 1,014,133

]]> Incorrect

]]> 1,135,829

]]> Incorrect

]]> 1,234,823

]]> Incorrect

]]> Write the statement as a power function equation. Use k as the constant of ... Write the statement as a power function equation. Use k as the constant of variation.

The height h of a triangle with a fixed area varies inversely as the base b.]]> 1.0000000 0.3333333 0 true true abc b = kh Incorrect ]]> 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 Incorrect h = kb Incorrect ]]> 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 Correct Write the statement as a power function equation. Use k as the constant of ... Write the statement as a power function equation. Use k as the constant of variation.

The surface area of a sphere S varies directly as the square of its radius r.]]> 1.0000000 0.3333333 0 true true abc ]]> 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 Incorrect ]]> 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 Incorrect 2r]]> Incorrect 2]]> Correct Pre-Calc/Chapter 2: Polynomial, Power, and Rational Functions/2.2 Power Functions and Modeling/2.2.2 Power Function Applications Boyle's Gas Law The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If V = 450.0 in3 when T = 450° and P = 10 lb/in2, what is the volume when T = #a ° and P = #b lb/in2?  Round to tenths.

]]> 1.0000000 0.3333333 0 0 #answer]]> Correct!

]]> <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>370</mn><mo>,</mo><mn>430</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>11</mn><mo>,</mo><mn>16</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mrow><mn>10</mn><mo>*</mo><mi>a</mi></mrow><mi>b</mi></mfrac><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</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">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Data are given for y as a power function of x. Write an equation for the ... Data are given for y as a power function of x. Write an equation for the power function, and state its power and constant of variation.

]]> 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 1.0000000 0.3333333 0 true true abc  ; Power = -1; constant of variation = -16]]> 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Incorrect  ; Power = -3; constant of variation = 16]]> 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Incorrect y = - 16x ; Power = 1; constant of variation = -16 Incorrect  ; Power = -2; constant of variation = -16]]> 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Correct Force between masses The gravitational attraction A between two masses varies inversely as the square of the distance between them. The force of attraction is 8 lb when the masses are 2 ft apart, what is the attraction when the masses are #a ft apart?  Round to the nearest tenth if necessary.

]]> 1.0000000 0.3333333 0 0 #answer]]> Correct!

]]> <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>3</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mn>32</mn><msup><mi>a</mi><mn>2</mn></msup></mfrac><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi mathvariant="normal">s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Weight of liquid The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 4 cm on a side is 128 g, find the weight of the liquid in a cubical container #a cm on a side.  Round to nearest gram.

]]> 1.0000000 0.3333333 0 0 #answer]]> Correct!

]]> <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>3</mn><mo>,</mo><mn>10</mn><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">repeat</csymbol><mrow/><mrow><mi>a</mi><mo>≠</mo><mn>4</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>2</mn><mo>*</mo><msup><mi>a</mi><mn>3</mn></msup><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi mathvariant="normal">s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</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">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>