Fill in the blank with one of the words or phrases listed below. \[\begin{array} { l l l } \text { slope-intercept } & \text { directly } & \text { slope } \\ \text { jointly } & \text { parallel } & \text { perpendicular } \\ \text { function } & \text { inversely } & \text { linear function } \end{array}\] -In the equation $\mathrm { y } = \frac { \mathrm { k } } { \mathrm { x } }$, $\mathrm { y }$ varies_______ as $X$.

A) jointly B) inversely C) parallel D) directly A) jointly B) inversely C) parallel D) directly

Exam 8: More on Functions and Graphs

Solve the problem. -Sales for a small clothing company can be modeled by the linear function S(x) = 4200x + 57,400, where x is the number of years since 2005 and S(x) is in dollars. Predict the first whole year that Sales will exceed $120,000.

(Multiple Choice)

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Question 141

Find the domain and range of the relation. Also determine whether the relation is a function. -

(Multiple Choice)

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Question 142

Graph the function. State the domain and range of the function. - $f(x)=x^{2}+4$ $Graph the function. State the domain and range of the function. - f(x)=x^{2}+4$

(Multiple Choice)

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Question 143

Find an equation of the line. Write the equation using function notation. -Through $( 2,3 )$ ; perpendicular to $f ( x ) = 4 x - 2$

(Multiple Choice)

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Question 144

Solve. -When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 294 cubic inches of a gas at a pressure of 14 pounds per square Inch, find the new pressure of the gas if the volume is decreased to 42 cubic inches.

(Multiple Choice)

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Question 145

Write an equation to describe the variation. Use k for the constant of proportionality. - $\mathrm { s }$ varies directly as $\mathrm { t }$ and inversely as the square of $\mathrm { u }$ .

(Multiple Choice)

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Question 146

Graph the function. - $f ( x ) = \sqrt { x - 5 }$ $Graph the function. - f ( x ) = \sqrt { x - 5 }$

(Multiple Choice)

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Question 147

Graph the piecewise defined function. - $f ( x ) = \left\{ \begin{array} { l l } x + 5 & \text { if } x < 1 \\- 4 & \text { if } x \geq 1\end{array} \right.$ $Graph the piecewise defined function. - f ( x ) = \left\{ \begin{array} { l l } x + 5 & \text { if } x < 1 \\ - 4 & \text { if } x \geq 1 \end{array} \right.$

(Multiple Choice)

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Question 148

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope $\frac { 4 } { 3 } ; y$ -intercept $( 0 , - 1 )$

(Multiple Choice)

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Question 149

Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -In the equation $\mathrm { y } = \frac { \mathrm { k } } { \mathrm { x } }$ , $\mathrm { y }$ varies_______ as $X$ .

(Multiple Choice)

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Question 150

Graph the function. - $f(x)=-|x|+2$

(Multiple Choice)

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Question 151

Find the variation equation for the variation statement. - $y$ varies directly as the square of $x ; y = - \frac { 81 } { 5 }$ when $x = 9$

(Multiple Choice)

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Question 152

Graph the function. State the domain and range of the function. - $f ( x ) = \left\{ \begin{array} { l l } 4 x + 1 & \text { if } x \leq 0 \\ \frac { 1 } { 2 } x - 4 & \text { if } x > 0 \end{array} \right.$ $Graph the function. State the domain and range of the function. - f ( x ) = \left\{ \begin{array} { l l } 4 x + 1 & \text { if } x \leq 0 \\ \frac { 1 } { 2 } x - 4 & \text { if } x > 0 \end{array} \right.$

(Multiple Choice)

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Question 153

Graph the function. - $f(x)=-\sqrt{x}-1$ $Graph the function. - f(x)=-\sqrt{x}-1$

(Multiple Choice)

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Question 154

Find an equation of the line satisfying the given conditions. Write the equation in standard form. -Horizontal; through $( - 4 , - 2 )$

(Multiple Choice)

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Question 155

Find the equation of the line. Write the equation using standard notation. -Through $( 10 , - 10 )$ ; perpendicular to $\mathrm { y } = 8$

(Multiple Choice)

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Question 156

Graph the function. - $f(x)=(x-7)^{2}+5$ $Graph the function. - f(x)=(x-7)^{2}+5$

(Multiple Choice)

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Question 157

Solve. -Suppose that $Q$ is jointly proportional to $R$ and the square of $S$ . If $Q = 16$ when $R = 2$ and $S = 2$ , find Q when $R = 6$ and $S = 3$ .

(Multiple Choice)

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Question 158

Find an equation of the line with the given slope and containing the given point. Write the equation using function notation. -Slope $\frac { 4 } { 3 } ;$ through $( 0,2 )$

(Multiple Choice)

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Question 159

Graph the function. - $f(x)=-x^{2}-4$ $Graph the function. - f(x)=-x^{2}-4$

(Multiple Choice)

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Question 160

Showing 141 - 160 of 192

Solve the problem. -Sales for a small clothing company can be modeled by the linear function S(x) = 4200x + 57,400, where x is the number of years since 2005 and S(x) is in dollars. Predict the first whole year that Sales will exceed $120,000.

Find the domain and range of the relation. Also determine whether the relation is a function. -

Graph the function. State the domain and range of the function. - $f(x)=x^{2}+4$ $Graph the function. State the domain and range of the function. - f(x)=x^{2}+4$

Find an equation of the line. Write the equation using function notation. -Through $( 2,3 )$ ; perpendicular to $f ( x ) = 4 x - 2$

Solve. -When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 294 cubic inches of a gas at a pressure of 14 pounds per square Inch, find the new pressure of the gas if the volume is decreased to 42 cubic inches.

Write an equation to describe the variation. Use k for the constant of proportionality. - $\mathrm { s }$ varies directly as $\mathrm { t }$ and inversely as the square of $\mathrm { u }$ .

Graph the function. - $f ( x ) = \sqrt { x - 5 }$ $Graph the function. - f ( x ) = \sqrt { x - 5 }$

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope $\frac { 4 } { 3 } ; y$ -intercept $( 0 , - 1 )$

Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -In the equation $\mathrm { y } = \frac { \mathrm { k } } { \mathrm { x } }$ , $\mathrm { y }$ varies_______ as $X$ .

Graph the function. - $f(x)=-|x|+2$

Find the variation equation for the variation statement. - $y$ varies directly as the square of $x ; y = - \frac { 81 } { 5 }$ when $x = 9$

Graph the function. - $f(x)=-\sqrt{x}-1$ $Graph the function. - f(x)=-\sqrt{x}-1$

Find an equation of the line satisfying the given conditions. Write the equation in standard form. -Horizontal; through $( - 4 , - 2 )$

Find the equation of the line. Write the equation using standard notation. -Through $( 10 , - 10 )$ ; perpendicular to $\mathrm { y } = 8$

Graph the function. - $f(x)=(x-7)^{2}+5$ $Graph the function. - f(x)=(x-7)^{2}+5$

Solve. -Suppose that $Q$ is jointly proportional to $R$ and the square of $S$ . If $Q = 16$ when $R = 2$ and $S = 2$ , find Q when $R = 6$ and $S = 3$ .

Find an equation of the line with the given slope and containing the given point. Write the equation using function notation. -Slope $\frac { 4 } { 3 } ;$ through $( 0,2 )$

Graph the function. - $f(x)=-x^{2}-4$ $Graph the function. - f(x)=-x^{2}-4$

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 8: More on Functions and Graphs

Solve the problem. -Sales for a small clothing company can be modeled by the linear function S(x) = 4200x + 57,400, where x is the number of years since 2005 and S(x) is in dollars. Predict the first whole year that Sales will exceed $120,000.

Find the domain and range of the relation. Also determine whether the relation is a function. -

Graph the function. State the domain and range of the function. - f(x)=x2+4f(x)=x^{2}+4f(x)=x2+4

Find an equation of the line. Write the equation using function notation. -Through (2,3)( 2,3 )(2,3) ; perpendicular to f(x)=4x−2f ( x ) = 4 x - 2f(x)=4x−2

Solve. -When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 294 cubic inches of a gas at a pressure of 14 pounds per square Inch, find the new pressure of the gas if the volume is decreased to 42 cubic inches.

Write an equation to describe the variation. Use k for the constant of proportionality. - s\mathrm { s }s varies directly as t\mathrm { t }t and inversely as the square of u\mathrm { u }u .

Graph the function. - f(x)=x−5f ( x ) = \sqrt { x - 5 }f(x)=x−5​

Graph the piecewise defined function. - f(x)={x+5 if x<1−4 if x≥1f ( x ) = \left\{ \begin{array} { l l } x + 5 & \text { if } x < 1 \\- 4 & \text { if } x \geq 1\end{array} \right.f(x)={x+5−4​ if x<1 if x≥1​

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope 43;y\frac { 4 } { 3 } ; y34​;y -intercept (0,−1)( 0 , - 1 )(0,−1)

Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -In the equation y=kx\mathrm { y } = \frac { \mathrm { k } } { \mathrm { x } }y=xk​ , y\mathrm { y }y varies_______ as XXX .

Graph the function. - f(x)=−∣x∣+2f(x)=-|x|+2f(x)=−∣x∣+2

Find the variation equation for the variation statement. - yyy varies directly as the square of x;y=−815x ; y = - \frac { 81 } { 5 }x;y=−581​ when x=9x = 9x=9

Graph the function. State the domain and range of the function. - f(x)={4x+1 if x≤012x−4 if x>0f ( x ) = \left\{ \begin{array} { l l } 4 x + 1 & \text { if } x \leq 0 \\ \frac { 1 } { 2 } x - 4 & \text { if } x > 0 \end{array} \right.f(x)={4x+121​x−4​ if x≤0 if x>0​

Graph the function. - f(x)=−x−1f(x)=-\sqrt{x}-1f(x)=−x​−1

Find an equation of the line satisfying the given conditions. Write the equation in standard form. -Horizontal; through (−4,−2)( - 4 , - 2 )(−4,−2)

Find the equation of the line. Write the equation using standard notation. -Through (10,−10)( 10 , - 10 )(10,−10) ; perpendicular to y=8\mathrm { y } = 8y=8

Graph the function. - f(x)=(x−7)2+5f(x)=(x-7)^{2}+5f(x)=(x−7)2+5

Solve. -Suppose that QQQ is jointly proportional to RRR and the square of SSS . If Q=16Q = 16Q=16 when R=2R = 2R=2 and S=2S = 2S=2 , find Q when R=6R = 6R=6 and S=3S = 3S=3 .

Find an equation of the line with the given slope and containing the given point. Write the equation using function notation. -Slope 43;\frac { 4 } { 3 } ;34​; through (0,2)( 0,2 )(0,2)

Graph the function. - f(x)=−x2−4f(x)=-x^{2}-4f(x)=−x2−4

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Graph the function. State the domain and range of the function. - $f(x)=x^{2}+4$ $Graph the function. State the domain and range of the function. - f(x)=x^{2}+4$

Find an equation of the line. Write the equation using function notation. -Through $( 2,3 )$ ; perpendicular to $f ( x ) = 4 x - 2$

Write an equation to describe the variation. Use k for the constant of proportionality. - $\mathrm { s }$ varies directly as $\mathrm { t }$ and inversely as the square of $\mathrm { u }$ .

Graph the function. - $f ( x ) = \sqrt { x - 5 }$ $Graph the function. - f ( x ) = \sqrt { x - 5 }$

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope $\frac { 4 } { 3 } ; y$ -intercept $( 0 , - 1 )$

Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -In the equation $\mathrm { y } = \frac { \mathrm { k } } { \mathrm { x } }$ , $\mathrm { y }$ varies_______ as $X$ .

Graph the function. - $f(x)=-|x|+2$

Find the variation equation for the variation statement. - $y$ varies directly as the square of $x ; y = - \frac { 81 } { 5 }$ when $x = 9$

Graph the function. - $f(x)=-\sqrt{x}-1$ $Graph the function. - f(x)=-\sqrt{x}-1$

Find an equation of the line satisfying the given conditions. Write the equation in standard form. -Horizontal; through $( - 4 , - 2 )$

Find the equation of the line. Write the equation using standard notation. -Through $( 10 , - 10 )$ ; perpendicular to $\mathrm { y } = 8$

Graph the function. - $f(x)=(x-7)^{2}+5$ $Graph the function. - f(x)=(x-7)^{2}+5$

Solve. -Suppose that $Q$ is jointly proportional to $R$ and the square of $S$ . If $Q = 16$ when $R = 2$ and $S = 2$ , find Q when $R = 6$ and $S = 3$ .

Find an equation of the line with the given slope and containing the given point. Write the equation using function notation. -Slope $\frac { 4 } { 3 } ;$ through $( 0,2 )$

Graph the function. - $f(x)=-x^{2}-4$ $Graph the function. - f(x)=-x^{2}-4$