Plot and interpret the appropriate scatter diagram. -The table gives the times spent watching TV and the grades of several students. \[\begin{array} { l | c c c c c c } \text { Weekly TV (h) } & 6 & 12 & 18 & 24 & 30 & 36 \\ \hline \text { Grade } ( \% ) & 92.5 & 87.5 & 72.5 & 77.5 & 62.5 & 57.5 \end{array}\] Which scatter diagram describes the data and the relationship, if any?

A) More hours spent watching TV may reduce grades. B) More hours spent watching TV may reduce grades. C) More hours spent watching TV may increase grades. D) none of these A) More hours spent watching TV may reduce grades. B) More hours spent watching TV may reduce grades. C) More hours spent watching TV may increase grades. D) none of these A

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -\[\begin{array} { c | c c c c c } \mathrm { x } & 2 & 4 & 6 & 8 & 10 \\ \hline \mathrm { y } & 15 & 37 & 60 & 75 & 94 \end{array}\]

A) y = 10x - 3 B) y = 9.8x - 2.6 C) y = 9.2x - 2.1 D) y = 9x - 3 A) y = 10x - 3 B) y = 9.8x - 2.6 C) y = 9.2x - 2.1 D) y = 9x - 3

Exam 2: Linear and Quadratic Functions

Plot and interpret the appropriate scatter diagram. -The table gives the times spent watching TV and the grades of several students. Weekly TV (h) 6 12 18 24 30 36 Grade (\%) 92.5 87.5 72.5 77.5 62.5 57.5 Which scatter diagram describes the data and the relationship, if any?

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Question 1

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Solve the problem. -Let f(x) be the function represented by the dashed line and g(x) be the function represented by the solid line. Solve the equation f(x) = g(x).

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Question 2

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Solve the problem. -The one-day temperatures for 12 world cities along with their latitudes are shown in the table below. Make a scatter diagram for the data. Then find the line of best fit and graph it on the scatter diagram. City Temperature (F) Latitude Oslo, Norway 3 5 Seattle, WA 5 4 Anchorage, AK 4 6 Paris, France 6 4 Vancouver, Canada 5 4 London, England 4 5 Tokyo, Japan 5 3 Cairo, Egypt 8 3 Mexico City, Mexico 8 1 Miami, FL 8 2 New Delhi, India 9 2 Manila, Philippines 9 1 Latitude (degrees) $Solve the problem. -The one-day temperatures for 12 world cities along with their latitudes are shown in the table below. Make a scatter diagram for the data. Then find the line of best fit and graph it on the scatter diagram. \begin{array}{l} \begin{array} { c | c | c } \text { City } & \text { Temperature (F) } & \text { Latitude } \\ \hline \text { Oslo, Norway } & 30 ^ { \circ } & 59 ^ { \circ } \\ \text { Seattle, WA } & 57 ^ { \circ } & 47 ^ { \circ } \\ \text { Anchorage, AK } & 40 ^ { \circ } & 61 ^ { \circ } \\ \text { Paris, France } & 61 ^ { \circ } & 48 ^ { \circ } \\ \text { Vancouver, Canada } & 54 ^ { \circ } & 49 ^ { \circ } \\ \text { London, England } & 48 ^ { \circ } & 51 ^ { \circ } \\ \text { Tokyo, Japan } & 55 ^ { \circ } & 35 ^ { \circ } \\ \text { Cairo, Egypt } & 82 ^ { \circ } & 30 ^ { \circ } \\ \text { Mexico City, Mexico } & 84 ^ { \circ } & 19 ^ { \circ } \\ \text { Miami, FL } & 81 ^ { \circ } & 25 ^ { \circ } \\ \text { New Delhi, India } & 95 ^ { \circ } & 28 ^ { \circ } \\ \text { Manila, Philippines } & 93 ^ { \circ } & 14 ^ { \circ } \end{array}\\ \text { Latitude (degrees) } \end{array} Temperature (F)°$ Temperature (F)°

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Question 3

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$\text { Latitude (degrees) }$
$\text { Latitude (degrees) } Temperature (F)° Line of best fit = -0.68x + 82.91$
Temperature (F)°
Line of best fit = -0.68x + 82.91

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=3x²

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Question 4

Determine the average rate of change for the function. -p(x) = -x - 4

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Question 5

Find the vertex and axis of symmetry of the graph of the function. -f(x)=x²+4x+3

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Question 6

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 3 k - 3 | \geq 7$ $Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - | 3 k - 3 | \geq 7$

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Question 7

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

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Question 8

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } + 6 x - 16$

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Question 9

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results.

(Multiple Choice)

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Question 10

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 4 x | > 32$

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Question 11

Determine where the function is increasing and where it is decreasing. - $f ( x ) = x ^ { 2 } - 2 x$

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Question 12

Determine the average rate of change for the function. - $f ( x ) = \frac { 2 } { 5 } x + 2$

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Question 13

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=6x²-12x+5

(Multiple Choice)

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Question 14

Graph the function. State whether it is increasing, decreasing, or constant.. -g(x)=3x-5

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Question 15

Determine the quadratic function whose graph is given. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = -9.8t² + 117.6t. During what interval of time will the rocket be higher than 343 m?

(Multiple Choice)

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Question 16

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=-x²+2x

(Multiple Choice)

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Question 17

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 2 4 6 8 10 15 37 60 75 94

(Multiple Choice)

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Question 18

Determine the slope and y-intercept of the function. - $f ( x ) = - \frac { 1 } { 2 } x + 3$

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Question 19

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on Entering the program versus their current GPAs. Entering GPA Current GPA 3.5 3.6 3.8 3.7 3.6 3.9 3.6 3.6 3.5 3.9 3.9 3.8 4.0 3.7 3.9 3.9 3.5 3.8 3.7 4.0

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Question 20

Showing 1 - 20 of 210

Plot and interpret the appropriate scatter diagram. -The table gives the times spent watching TV and the grades of several students. Weekly TV (h) 6 12 18 24 30 36 Grade (\%) 92.5 87.5 72.5 77.5 62.5 57.5 Which scatter diagram describes the data and the relationship, if any?

Solve the problem. -Let f(x) be the function represented by the dashed line and g(x) be the function represented by the solid line. Solve the equation f(x) = g(x).

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=3x²

Determine the average rate of change for the function. -p(x) = -x - 4

Find the vertex and axis of symmetry of the graph of the function. -f(x)=x²+4x+3

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

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } + 6 x - 16$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results.

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 4 x | > 32$

Determine where the function is increasing and where it is decreasing. - $f ( x ) = x ^ { 2 } - 2 x$

Determine the average rate of change for the function. - $f ( x ) = \frac { 2 } { 5 } x + 2$

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=6x²-12x+5

Graph the function. State whether it is increasing, decreasing, or constant.. -g(x)=3x-5

Determine the quadratic function whose graph is given. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = -9.8t² + 117.6t. During what interval of time will the rocket be higher than 343 m?

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=-x²+2x

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 2 4 6 8 10 15 37 60 75 94

Determine the slope and y-intercept of the function. - $f ( x ) = - \frac { 1 } { 2 } x + 3$

Functions and Their Graphs

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Exam 2: Linear and Quadratic Functions

Plot and interpret the appropriate scatter diagram. -The table gives the times spent watching TV and the grades of several students. Weekly TV (h) 6 12 18 24 30 36 Grade (\%) 92.5 87.5 72.5 77.5 62.5 57.5 Which scatter diagram describes the data and the relationship, if any?

Solve the problem. -Let f(x) be the function represented by the dashed line and g(x) be the function represented by the solid line. Solve the equation f(x) = g(x).

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=3x2

Determine the average rate of change for the function. -p(x) = -x - 4

Find the vertex and axis of symmetry of the graph of the function. -f(x)=x2+4x+3

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣3k−3∣≥7| 3 k - 3 | \geq 7∣3k−3∣≥7

Determine the domain and the range of the function. - f(x)=x2+2xf ( x ) = x ^ { 2 } + 2 xf(x)=x2+2x

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - f(x)=x2+6x−16f ( x ) = x ^ { 2 } + 6 x - 16f(x)=x2+6x−16

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results.

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣4x∣>32| 4 x | > 32∣4x∣>32

Determine where the function is increasing and where it is decreasing. - f(x)=x2−2xf ( x ) = x ^ { 2 } - 2 xf(x)=x2−2x

Determine the average rate of change for the function. - f(x)=25x+2f ( x ) = \frac { 2 } { 5 } x + 2f(x)=52​x+2

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=6x2-12x+5

Graph the function. State whether it is increasing, decreasing, or constant.. -g(x)=3x-5

Determine the quadratic function whose graph is given. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = -9.8t2 + 117.6t. During what interval of time will the rocket be higher than 343 m?

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=-x2+2x

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 2 4 6 8 10 15 37 60 75 94

Determine the slope and y-intercept of the function. - f(x)=−12x+3f ( x ) = - \frac { 1 } { 2 } x + 3f(x)=−21​x+3

Functions and Their Graphs

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=3x²

Find the vertex and axis of symmetry of the graph of the function. -f(x)=x²+4x+3

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

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } + 6 x - 16$

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 4 x | > 32$

Determine where the function is increasing and where it is decreasing. - $f ( x ) = x ^ { 2 } - 2 x$

Determine the average rate of change for the function. - $f ( x ) = \frac { 2 } { 5 } x + 2$

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=6x²-12x+5

Determine the quadratic function whose graph is given. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = -9.8t² + 117.6t. During what interval of time will the rocket be higher than 343 m?

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=-x²+2x

Determine the slope and y-intercept of the function. - $f ( x ) = - \frac { 1 } { 2 } x + 3$