$\begin{array}{l|rrrrr} x & -3 & -2 & -1 & 2 & 4 \\ \mathrm{y} \mid & -3 & 3 & 5 & 9 & 12 \end{array} \text { (Quartic) }$

A) $y = - 0.05 x ^ { 4 } + 0.18 x ^ { 3 } + 0.25 x ^ { 2 } + 0.80 x + 5.77$ B) $y = 0.05 x ^ { 4 } - 0.18 x ^ { 3 } + 0.25 x ^ { 2 } + 0.80 x + 5.77$ C) $y = - 0.05 x ^ { 4 } + 0.12 x ^ { 3 } - 0.24 x ^ { 2 } - 0.80 x + 5.77$ D) $y = - 0.05 x ^ { 4 } + 0.12 x ^ { 3 } + 0.24 x ^ { 2 } + 0.80 x + 5.75$ A) $y = - 0.05 x ^ { 4 } + 0.18 x ^ { 3 } + 0.25 x ^ { 2 } + 0.80 x + 5.77$ B) $y = 0.05 x ^ { 4 } - 0.18 x ^ { 3 } + 0.25 x ^ { 2 } + 0.80 x + 5.77$ C) $y = - 0.05 x ^ { 4 } + 0.12 x ^ { 3 } - 0.24 x ^ { 2 } - 0.80 x + 5.77$ D) $y = - 0.05 x ^ { 4 } + 0.12 x ^ { 3 } + 0.24 x ^ { 2 } + 0.80 x + 5.75$

Find the cubic or quartic function that models the data in the table. -$\begin{array}{l|ccccc} \mathrm{x} & -3 & 1 & 4 & 6 & 8 \\ \hline \mathrm{y} & 0 & 3 & 5 & 9 & 12 \end{array} \text { (Quartic) }$

A) $y = - 0.01 x ^ { 4 } + 0.29 x ^ { 3 } - 0.06 x ^ { 2 } - 0.23 x + 3.23$ B) $y = - 0.01 x ^ { 4 } + 0.29 x ^ { 3 } - 0.16 x ^ { 2 } - 0.23 x + 2.26$ C) $y = 0.01 x ^ { 4 } - 0.09 x ^ { 3 } - 0.08 x ^ { 2 } - 0.23 x + 3.23$ D) $y = - 0.01 x ^ { 4 } + 0.09 x ^ { 3 } - 0.08 x ^ { 2 } - 0.23 x + 3.23$ A) $y = - 0.01 x ^ { 4 } + 0.29 x ^ { 3 } - 0.06 x ^ { 2 } - 0.23 x + 3.23$ B) $y = - 0.01 x ^ { 4 } + 0.29 x ^ { 3 } - 0.16 x ^ { 2 } - 0.23 x + 2.26$ C) $y = 0.01 x ^ { 4 } - 0.09 x ^ { 3 } - 0.08 x ^ { 2 } - 0.23 x + 3.23$ D) $y = - 0.01 x ^ { 4 } + 0.09 x ^ { 3 } - 0.08 x ^ { 2 } - 0.23 x + 3.23$

Exam 6: Higher-Degree Polynomial and Rational Functions

Use the given graph of the polynomial function to state whether the leading coefficient is positive or negative and whether the polynomial function is cubic or quartic. -

(Multiple Choice)

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Question 181

Use a graphing calculator to estimate the local maximum and local minimum values of the function to the nearest hundredth. - $f ( x ) = x ^ { 3 } - x ^ { 2 } - 3 x + 2$

(Multiple Choice)

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Question 182

Use the graph of f(x) to solve the inequality. - $f(x)<0$

(Multiple Choice)

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Question 183

Provide an appropriate response. -Suppose that the total-cost function for a certain company to produce x units of a product is given by $C ( x ) = 3 x ^ { 2 } + 45$ Graph the average cost function $\mathrm { A } ( \mathrm { x } ) = \mathrm { C } ( \mathrm { x } ) / \mathrm { x }$ . $Provide an appropriate response. -Suppose that the total-cost function for a certain company to produce x units of a product is given by C ( x ) = 3 x ^ { 2 } + 45 Graph the average cost function \mathrm { A } ( \mathrm { x } ) = \mathrm { C } ( \mathrm { x } ) / \mathrm { x } .$

(Multiple Choice)

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Question 184

Use the graph of the polynomial function f(x) to solve f( $f ( x ) \text { to solve } f ( x ) = 0$ - $Use the graph of the polynomial function f(x) to solve f( f ( x ) \text { to solve } f ( x ) = 0 -$

(Multiple Choice)

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Question 185

x -3 -2 -1 2 4 \mid -3 3 5 9 12 start text left parenthesisQuarticright parenthesis end text

(Multiple Choice)

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Question 186

Use algebraic and/or graphical methods to solve the inequality. - $( x + 4 ) ( x - 4 ) ^ { 2 } > 0$

(Multiple Choice)

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Question 187

Give the equations of any horizontal asymptotes for the graphs of the rational functions. - $f ( x ) = \frac { 7 x ^ { 2 } + 2 } { 7 x ^ { 2 } - 2 }$

(Multiple Choice)

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Question 188

Graph the function. - $f ( x ) = \frac { x ^ { 2 } - 9 } { x - 3 }$ $Graph the function. - f ( x ) = \frac { x ^ { 2 } - 9 } { x - 3 }$

(Multiple Choice)

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Question 189

Predict the end behavior of the graph of the function. - $f ( x ) = - 8 ( x - 3 ) ^ { 2 } ( x + 3 ) ^ { 2 }$

(Multiple Choice)

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Question 190

Match the function with its graph. - $f ( x ) = - \frac { 2 } { x ^ { 2 } - 9 }$

(Multiple Choice)

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Question 191

$S ( x ) = - x ^ { 3 } + 6 x ^ { 2 } + 288 x + 4000,4 \leq x \leq 20$ 0 is an approximation of the number of salmon swimming upstream to spawn, where x represents the water temperature in degrees Celsius. Find the temperature that produces the Maximum number of salmon.

(Multiple Choice)

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Question 192

$6 x ^ { 4 } + 12 x ^ { 3 } + 6 x ^ { 2 } = 0$

(Multiple Choice)

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Question 193

$\frac { 5 - x } { x } + \frac { 3 } { 4 } = \frac { 7 } { x }$

(Multiple Choice)

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Question 194

$\frac { 1 } { x - 2 } + \frac { 1 } { x + 2 } \leq - \frac { 2 } { 3 }$

(Multiple Choice)

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Question 195

Use algebraic and/or graphical methods to solve the inequality. - $7 x ^ { 5 } < 70 x ^ { 3 }$

(Multiple Choice)

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Question 196

Find the cubic or quartic function that models the data in the table. - -3 1 4 6 8 0 3 5 9 12 start text left parenthesisQuarticright parenthesis end text

(Multiple Choice)

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Question 197

Find one solution graphically and then find the remaining solutions using synthetic division. --2x4 + 6x3 + 14x2 - 54x + 36 = 0

(Multiple Choice)

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Question 198

Use the given graph of the polynomial function to state whether the leading coefficient is positive or negative and whether the polynomial function is cubic or quartic. -

(Multiple Choice)

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Question 199

The percent of concentration of a certain drug in the bloodstream x hr after the drug is administered is given by K(x) = 4x . At what time is the concentration a maximum? X2 + 49

(Multiple Choice)

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Question 200

Showing 181 - 200 of 262

Use the given graph of the polynomial function to state whether the leading coefficient is positive or negative and whether the polynomial function is cubic or quartic. -

Use a graphing calculator to estimate the local maximum and local minimum values of the function to the nearest hundredth. - $f ( x ) = x ^ { 3 } - x ^ { 2 } - 3 x + 2$

Use the graph of f(x) to solve the inequality. - $f(x)<0$

Use the graph of the polynomial function f(x) to solve f( $f ( x ) \text { to solve } f ( x ) = 0$ - $Use the graph of the polynomial function f(x) to solve f( f ( x ) \text { to solve } f ( x ) = 0 -$

x -3 -2 -1 2 4 \mid -3 3 5 9 12 start text left parenthesisQuarticright parenthesis end text

Use algebraic and/or graphical methods to solve the inequality. - $( x + 4 ) ( x - 4 ) ^ { 2 } > 0$

Give the equations of any horizontal asymptotes for the graphs of the rational functions. - $f ( x ) = \frac { 7 x ^ { 2 } + 2 } { 7 x ^ { 2 } - 2 }$

Graph the function. - $f ( x ) = \frac { x ^ { 2 } - 9 } { x - 3 }$ $Graph the function. - f ( x ) = \frac { x ^ { 2 } - 9 } { x - 3 }$

Predict the end behavior of the graph of the function. - $f ( x ) = - 8 ( x - 3 ) ^ { 2 } ( x + 3 ) ^ { 2 }$

Match the function with its graph. - $f ( x ) = - \frac { 2 } { x ^ { 2 } - 9 }$

$S ( x ) = - x ^ { 3 } + 6 x ^ { 2 } + 288 x + 4000,4 \leq x \leq 20$ 0 is an approximation of the number of salmon swimming upstream to spawn, where x represents the water temperature in degrees Celsius. Find the temperature that produces the Maximum number of salmon.

$6 x ^ { 4 } + 12 x ^ { 3 } + 6 x ^ { 2 } = 0$

$\frac { 5 - x } { x } + \frac { 3 } { 4 } = \frac { 7 } { x }$

$\frac { 1 } { x - 2 } + \frac { 1 } { x + 2 } \leq - \frac { 2 } { 3 }$

Use algebraic and/or graphical methods to solve the inequality. - $7 x ^ { 5 } < 70 x ^ { 3 }$

Find the cubic or quartic function that models the data in the table. - -3 1 4 6 8 0 3 5 9 12 start text left parenthesisQuarticright parenthesis end text

Find one solution graphically and then find the remaining solutions using synthetic division. --2x4 + 6x3 + 14x2 - 54x + 36 = 0

Use the given graph of the polynomial function to state whether the leading coefficient is positive or negative and whether the polynomial function is cubic or quartic. -

The percent of concentration of a certain drug in the bloodstream x hr after the drug is administered is given by K(x) = 4x . At what time is the concentration a maximum? X2 + 49

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Exam 6: Higher-Degree Polynomial and Rational Functions

Use the given graph of the polynomial function to state whether the leading coefficient is positive or negative and whether the polynomial function is cubic or quartic. -

Use a graphing calculator to estimate the local maximum and local minimum values of the function to the nearest hundredth. - f(x)=x3−x2−3x+2f ( x ) = x ^ { 3 } - x ^ { 2 } - 3 x + 2f(x)=x3−x2−3x+2

Use the graph of f(x) to solve the inequality. - f(x)<0f(x)<0f(x)<0

Use the graph of the polynomial function f(x) to solve f( f(x) to solve f(x)=0f ( x ) \text { to solve } f ( x ) = 0f(x) to solve f(x)=0 -

x -3 -2 -1 2 4 \mid -3 3 5 9 12 start text left parenthesisQuarticright parenthesis end text

Use algebraic and/or graphical methods to solve the inequality. - (x+4)(x−4)2>0( x + 4 ) ( x - 4 ) ^ { 2 } > 0(x+4)(x−4)2>0

Give the equations of any horizontal asymptotes for the graphs of the rational functions. - f(x)=7x2+27x2−2f ( x ) = \frac { 7 x ^ { 2 } + 2 } { 7 x ^ { 2 } - 2 }f(x)=7x2−27x2+2​

Graph the function. - f(x)=x2−9x−3f ( x ) = \frac { x ^ { 2 } - 9 } { x - 3 }f(x)=x−3x2−9​

Predict the end behavior of the graph of the function. - f(x)=−8(x−3)2(x+3)2f ( x ) = - 8 ( x - 3 ) ^ { 2 } ( x + 3 ) ^ { 2 }f(x)=−8(x−3)2(x+3)2

Match the function with its graph. - f(x)=−2x2−9f ( x ) = - \frac { 2 } { x ^ { 2 } - 9 }f(x)=−x2−92​

6x4+12x3+6x2=06 x ^ { 4 } + 12 x ^ { 3 } + 6 x ^ { 2 } = 06x4+12x3+6x2=0

5−xx+34=7x\frac { 5 - x } { x } + \frac { 3 } { 4 } = \frac { 7 } { x }x5−x​+43​=x7​

1x−2+1x+2≤−23\frac { 1 } { x - 2 } + \frac { 1 } { x + 2 } \leq - \frac { 2 } { 3 }x−21​+x+21​≤−32​

Use algebraic and/or graphical methods to solve the inequality. - 7x5<70x37 x ^ { 5 } < 70 x ^ { 3 }7x5<70x3

Find the cubic or quartic function that models the data in the table. - -3 1 4 6 8 0 3 5 9 12 start text left parenthesisQuarticright parenthesis end text

Find one solution graphically and then find the remaining solutions using synthetic division. --2x4 + 6x3 + 14x2 - 54x + 36 = 0

Use the given graph of the polynomial function to state whether the leading coefficient is positive or negative and whether the polynomial function is cubic or quartic. -

The percent of concentration of a certain drug in the bloodstream x hr after the drug is administered is given by K(x) = 4x . At what time is the concentration a maximum? X2 + 49

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Use a graphing calculator to estimate the local maximum and local minimum values of the function to the nearest hundredth. - $f ( x ) = x ^ { 3 } - x ^ { 2 } - 3 x + 2$

Use the graph of f(x) to solve the inequality. - $f(x)<0$

Use the graph of the polynomial function f(x) to solve f( $f ( x ) \text { to solve } f ( x ) = 0$ - $Use the graph of the polynomial function f(x) to solve f( f ( x ) \text { to solve } f ( x ) = 0 -$

Use algebraic and/or graphical methods to solve the inequality. - $( x + 4 ) ( x - 4 ) ^ { 2 } > 0$

Give the equations of any horizontal asymptotes for the graphs of the rational functions. - $f ( x ) = \frac { 7 x ^ { 2 } + 2 } { 7 x ^ { 2 } - 2 }$

Graph the function. - $f ( x ) = \frac { x ^ { 2 } - 9 } { x - 3 }$ $Graph the function. - f ( x ) = \frac { x ^ { 2 } - 9 } { x - 3 }$

Predict the end behavior of the graph of the function. - $f ( x ) = - 8 ( x - 3 ) ^ { 2 } ( x + 3 ) ^ { 2 }$

Match the function with its graph. - $f ( x ) = - \frac { 2 } { x ^ { 2 } - 9 }$

$6 x ^ { 4 } + 12 x ^ { 3 } + 6 x ^ { 2 } = 0$

$\frac { 5 - x } { x } + \frac { 3 } { 4 } = \frac { 7 } { x }$

$\frac { 1 } { x - 2 } + \frac { 1 } { x + 2 } \leq - \frac { 2 } { 3 }$

Use algebraic and/or graphical methods to solve the inequality. - $7 x ^ { 5 } < 70 x ^ { 3 }$