Give the domain and range of the relation. -Annual New Telemarketing Companies \[\begin{array} { c | c } \text { Year } & \text { Number } \\ \hline 1993 & 52 \\ 1994 & 102 \\ 1995 & 187 \\ 1996 & 170 \\ 1997 & 218 \end{array}\]

A) domain: {Year}; range: {Number} B) domain: {1993, 1994, 1995, 1996, 1997}; range: {52, 102, 170, 187, 218} C) None of these D) domain: {52, 102, 170, 187, 218}; range: {1993, 1994, 1995, 1996, 1997} A) domain: {Year}; range: {Number} B) domain: {1993, 1994, 1995, 1996, 1997}; range: {52, 102, 170, 187, 218} C) None of these D) domain: {52, 102, 170, 187, 218}; range: {1993, 1994, 1995, 1996, 1997}

Exam 3: Graphs and Functions

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=(2 x)^{2}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=(2 x)^{2}$

(Multiple Choice)

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Question 401

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what time was the temperature the highest?

(Multiple Choice)

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Question 402

Graph the line described. -through $( - 2,9 )$ ; undefined slope

(Multiple Choice)

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Question 403

Give the domain and range of the relation. -

(Multiple Choice)

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Question 404

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=5 x^{2}-1$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=5 x^{2}-1$

(Multiple Choice)

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Question 405

Give the domain and range of the relation. -Find $f ( 4 )$ when $f ( x ) = 5 x ^ { 2 } + 2 x - 2$

(Multiple Choice)

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Question 406

Give the domain and range of the relation. -Annual New Telemarketing Companies Year Number 1993 52 1994 102 1995 187 1996 170 1997 218

(Multiple Choice)

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Question 407

A circle has a diameter with endpoints $( - 2,1 )$ and $( 22,11 )$ . Find the radius.

(Multiple Choice)

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Question 408

Find the requested value. - $f ( 8 )$ for $f ( x ) = \left\{ \begin{array} { l l } 6 x + 1 , & \text { if } x < 1 \\ 8 x , & \text { if } 8 \leq x \leq 11 \\ 8 - 4 x , & \text { if } x > 11 \end{array} \right.$

(Multiple Choice)

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Question 409

Graph the point symmetric to the given point. - $\text { Plot the point } ( - 5,0 ) \text {, then plot the point that is symmetric to } ( - 5,0 ) \text { with respect to the } x \text {-axis. }$ $Graph the point symmetric to the given point. - \text { Plot the point } ( - 5,0 ) \text {, then plot the point that is symmetric to } ( - 5,0 ) \text { with respect to the } x \text {-axis. }$

(Multiple Choice)

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Question 410

Determine whether the three points are the vertices of a right triangle. - $( - 1 , - 1 ) , ( 5,1 ) , ( 4 , - 4 )$

(True/False)

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Question 411

The graphs of functions $\mathrm { f }$ and $\mathrm { g }$ are shown. Use these graphs to find $( \mathrm { fg } ) ( 1 )$ . $The graphs of functions \mathrm { f } and \mathrm { g } are shown. Use these graphs to find ( \mathrm { fg } ) ( 1 ) . y = f ( x ) y = g ( x )$ $y = f ( x )$ $y = g ( x )$

(Multiple Choice)

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Question 412

Graph the line and give the domain and the range. - $x+4=0$

(Multiple Choice)

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Question 413

Find the requested function value. -Find $( g \circ f ) ( - 5 )$ when $f ( x ) = - 9 x - 5$ and $g ( x ) = 9 x ^ { 2 } - 9 x - 1$ .

(Multiple Choice)

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Question 414

Describe the transformations and give the equation for the graph. -Find $( f g ) ( 2 )$ when $f ( x ) = x - 6$ and $g ( x ) = - 3 x ^ { 2 } + 11 x - 7$

(Multiple Choice)

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Question 415

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - $x ^ { 2 } + y ^ { 2 } + 16 x + 12 y + 211 = 0$

(Multiple Choice)

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Question 416

Graph the point symmetric to the given point. - $\text { Plot the point } ( 0 , - 1 ) \text {, then plot the point that is symmetric to } ( 0 , - 1 ) \text { with respect to the } y \text {-axis. }$ $Graph the point symmetric to the given point. - \text { Plot the point } ( 0 , - 1 ) \text {, then plot the point that is symmetric to } ( 0 , - 1 ) \text { with respect to the } y \text {-axis. }$

(Multiple Choice)

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Question 417

Determine the intervals of the domain over which the function is continuous. -

(Multiple Choice)

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Question 418

Find the specified domain. -Find the domain of $( f + g ) ( x )$ when $f ( x ) = \sqrt { 8 x - 2 }$ and $g ( x ) = \frac { 1 } { x }$

(Multiple Choice)

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Question 419

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = | 2 x + 2 |$

(Multiple Choice)

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Question 420

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=(2 x)^{2}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=(2 x)^{2}$

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what time was the temperature the highest?

Graph the line described. -through $( - 2,9 )$ ; undefined slope

Give the domain and range of the relation. -

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=5 x^{2}-1$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=5 x^{2}-1$

Give the domain and range of the relation. -Find $f ( 4 )$ when $f ( x ) = 5 x ^ { 2 } + 2 x - 2$

Give the domain and range of the relation. -Annual New Telemarketing Companies Year Number 1993 52 1994 102 1995 187 1996 170 1997 218

A circle has a diameter with endpoints $( - 2,1 )$ and $( 22,11 )$ . Find the radius.

Find the requested value. - $f ( 8 )$ for $f ( x ) = \left\{ \begin{array} { l l } 6 x + 1 , & \text { if } x < 1 \\ 8 x , & \text { if } 8 \leq x \leq 11 \\ 8 - 4 x , & \text { if } x > 11 \end{array} \right.$

Determine whether the three points are the vertices of a right triangle. - $( - 1 , - 1 ) , ( 5,1 ) , ( 4 , - 4 )$

The graphs of functions $\mathrm { f }$ and $\mathrm { g }$ are shown. Use these graphs to find $( \mathrm { fg } ) ( 1 )$ . $The graphs of functions \mathrm { f } and \mathrm { g } are shown. Use these graphs to find ( \mathrm { fg } ) ( 1 ) . y = f ( x ) y = g ( x )$ $y = f ( x )$ $y = g ( x )$

Graph the line and give the domain and the range. - $x+4=0$

Find the requested function value. -Find $( g \circ f ) ( - 5 )$ when $f ( x ) = - 9 x - 5$ and $g ( x ) = 9 x ^ { 2 } - 9 x - 1$ .

Describe the transformations and give the equation for the graph. -Find $( f g ) ( 2 )$ when $f ( x ) = x - 6$ and $g ( x ) = - 3 x ^ { 2 } + 11 x - 7$

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - $x ^ { 2 } + y ^ { 2 } + 16 x + 12 y + 211 = 0$

Determine the intervals of the domain over which the function is continuous. -

Find the specified domain. -Find the domain of $( f + g ) ( x )$ when $f ( x ) = \sqrt { 8 x - 2 }$ and $g ( x ) = \frac { 1 } { x }$

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = | 2 x + 2 |$

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Exam 3: Graphs and Functions

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - f(x)=(2x)2f(x)=(2 x)^{2}f(x)=(2x)2

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what time was the temperature the highest?

Graph the line described. -through (−2,9)( - 2,9 )(−2,9) ; undefined slope

Give the domain and range of the relation. -

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - y=5x2−1y=5 x^{2}-1y=5x2−1

Give the domain and range of the relation. -Find f(4)f ( 4 )f(4) when f(x)=5x2+2x−2f ( x ) = 5 x ^ { 2 } + 2 x - 2f(x)=5x2+2x−2

Give the domain and range of the relation. -Annual New Telemarketing Companies Year Number 1993 52 1994 102 1995 187 1996 170 1997 218

A circle has a diameter with endpoints (−2,1)( - 2,1 )(−2,1) and (22,11)( 22,11 )(22,11) . Find the radius.

Determine whether the three points are the vertices of a right triangle. - (−1,−1),(5,1),(4,−4)( - 1 , - 1 ) , ( 5,1 ) , ( 4 , - 4 )(−1,−1),(5,1),(4,−4)

The graphs of functions f\mathrm { f }f and g\mathrm { g }g are shown. Use these graphs to find (fg)(1)( \mathrm { fg } ) ( 1 )(fg)(1) . y=f(x)y = f ( x )y=f(x) y=g(x)y = g ( x )y=g(x)

Graph the line and give the domain and the range. - x+4=0x+4=0x+4=0

Find the requested function value. -Find (g∘f)(−5)( g \circ f ) ( - 5 )(g∘f)(−5) when f(x)=−9x−5f ( x ) = - 9 x - 5f(x)=−9x−5 and g(x)=9x2−9x−1g ( x ) = 9 x ^ { 2 } - 9 x - 1g(x)=9x2−9x−1 .

Describe the transformations and give the equation for the graph. -Find (fg)(2)( f g ) ( 2 )(fg)(2) when f(x)=x−6f ( x ) = x - 6f(x)=x−6 and g(x)=−3x2+11x−7g ( x ) = - 3 x ^ { 2 } + 11 x - 7g(x)=−3x2+11x−7

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - x2+y2+16x+12y+211=0x ^ { 2 } + y ^ { 2 } + 16 x + 12 y + 211 = 0x2+y2+16x+12y+211=0

Determine the intervals of the domain over which the function is continuous. -

Find the specified domain. -Find the domain of (f+g)(x)( f + g ) ( x )(f+g)(x) when f(x)=8x−2f ( x ) = \sqrt { 8 x - 2 }f(x)=8x−2​ and g(x)=1xg ( x ) = \frac { 1 } { x }g(x)=x1​

Consider the function h as defined. Find functions f and g so tha (f∘g)(x)=h(x)( f \circ g ) ( x ) = h ( x )(f∘g)(x)=h(x) - h(x)=∣2x+2∣h ( x ) = | 2 x + 2 |h(x)=∣2x+2∣

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=(2 x)^{2}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=(2 x)^{2}$

Graph the line described. -through $( - 2,9 )$ ; undefined slope

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=5 x^{2}-1$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=5 x^{2}-1$

Give the domain and range of the relation. -Find $f ( 4 )$ when $f ( x ) = 5 x ^ { 2 } + 2 x - 2$

A circle has a diameter with endpoints $( - 2,1 )$ and $( 22,11 )$ . Find the radius.

Determine whether the three points are the vertices of a right triangle. - $( - 1 , - 1 ) , ( 5,1 ) , ( 4 , - 4 )$

The graphs of functions $\mathrm { f }$ and $\mathrm { g }$ are shown. Use these graphs to find $( \mathrm { fg } ) ( 1 )$ . $The graphs of functions \mathrm { f } and \mathrm { g } are shown. Use these graphs to find ( \mathrm { fg } ) ( 1 ) . y = f ( x ) y = g ( x )$ $y = f ( x )$ $y = g ( x )$

Graph the line and give the domain and the range. - $x+4=0$

Find the requested function value. -Find $( g \circ f ) ( - 5 )$ when $f ( x ) = - 9 x - 5$ and $g ( x ) = 9 x ^ { 2 } - 9 x - 1$ .

Describe the transformations and give the equation for the graph. -Find $( f g ) ( 2 )$ when $f ( x ) = x - 6$ and $g ( x ) = - 3 x ^ { 2 } + 11 x - 7$

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - $x ^ { 2 } + y ^ { 2 } + 16 x + 12 y + 211 = 0$

Find the specified domain. -Find the domain of $( f + g ) ( x )$ when $f ( x ) = \sqrt { 8 x - 2 }$ and $g ( x ) = \frac { 1 } { x }$

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = | 2 x + 2 |$