Complete the table below by determining both the slope and the y-intercept of each of the lines. \[\begin{array} { | c | c | c | } \hline \text { equation of the line } & \text { slope } & y \text {-intercept } \\ \hline x + y = 2 & & \\ \hline 2 x + y = 4 & & \\ \hline 3 y + 6 = 0 & & \\ \hline 4 x - 2 y = 0 & & \\ \hline \end{array}\]

The answer of Complete the table below by determining both...

Fill in the table of values for the function \[x y = 7\] . $\begin{array}{ll} x&-4&-1&2&4&7\\y\\\hline \end{array}$

The answer of Fill in the table of values for...

Calculate the y-coordinates in the table below for the function $y = 3 x ^ { 2 } + 7$ . \[\begin{array} { | c | c | } \hline x & y \\ \hline - 4 & \\ \hline - 2 & \\ \hline 2 & \\ \hline 3 & \\ \hline 5 & \\ \hline \end{array}\]

The answer of Calculate the y-coordinates in the table below...

Exam 2: Functions

The stopping distance D of a car after the brakes have been applied varies directly as the square of the speed s. A certain car traveling at 50 mi/h can stop in 240 ft. What is the maximum speed it can be traveling if it needs to stop in 180 ft? Round your answer to one decimal place.

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(Short Answer)

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Question 1

Correct Answer:

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43.3 mi/h

Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there? $y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,4 ] \text { by } [ - 15,15 ]$

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(Short Answer)

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Question 2

Correct Answer:

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they intersect once

Determine the correct equation for the line passing through the point (2,22) with a slope of 7.

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(Multiple Choice)

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Question 3

Correct Answer:

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B

Complete the table below by determining both the slope and the y-intercept of each of the lines. equation of the line slope y -intercept x+y=2 2x+y=4 3y+6=0 4x-2y=0

(Short Answer)

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Question 4

Solve the equation $x - \sqrt { x } + 7 = 0$ graphically in the interval [- 7, 6].

(Multiple Choice)

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Question 5

Fill in the table of values for the function $x y = 7$ . x -4 -1 2 4 7 y

(Short Answer)

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Question 6

If $M ( 2,3 )$ is the midpoint of the line segment AB, and if A has coordinates $( 6,8 )$ find the coordinates of B.

(Short Answer)

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Question 7

Find the center and radius of the circle. $x ^ { 2 } - x + \frac { 5 } { 4 } + y ^ { 2 } - 2 y = \frac { 1 } { 4 }$

(Short Answer)

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Question 8

Solve the equation $x - \sqrt { x } + 7 = 0$ graphically in the interval $[ - 7,6 ]$ .

(Multiple Choice)

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Question 9

Solve the equation $x ^ { 3 } - 12 x ^ { 2 } + 41 x - 30 = 0$ graphically in the interval [- 1, 7].

(Multiple Choice)

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Question 10

Find an equation of the circle with the center at (-5, 1) and the radius of 1.

(Multiple Choice)

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Question 11

Find the distance between the points (4,7) and (8,11).

(Short Answer)

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Question 12

Calculate the y-coordinates in the table below for the function $y = 3 x ^ { 2 } + 7$ . x y -4 -2 2 3 5

(Short Answer)

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Question 13

Determine the sketch of the region given by the set. $\{ ( x , y ) \mid x \geq - 3 \text { and } y < 0 \}$

(Multiple Choice)

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Question 14

Express the statement as a formula.M varies directly as x and inversely as y Use the information that if x = 24 and y = -4 then M = 36 to find the constant of proportionality.

(Short Answer)

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Question 15

Write the equation for the line passing through the point (8,-11) and parallel to the line x + 2y = 8.

(Short Answer)

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Question 16

Test the equation $y = 9 x ^ { 3 } + 7 x$ for symmetry

(Multiple Choice)

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Question 17

Find the x- and y-intercepts of the graph of the equation. $y = \sqrt { 2 x + 7 }$

(Multiple Choice)

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Question 18

Find the approximate solution(s) of the equation $2 x ^ { 2 } + 3 x - 8 = 0$ in the interval $[ - 3,3 ]$ by drawing a graph in an appropriate viewing rectangle. State each answer correct to two decimals.

(Short Answer)

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Question 19

Determine which point is on the graph of the equation y = 5x + 6

(Multiple Choice)

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Question 20

The stopping distance D of a car after the brakes have been applied varies directly as the square of the speed s. A certain car traveling at 50 mi/h can stop in 240 ft. What is the maximum speed it can be traveling if it needs to stop in 180 ft? Round your answer to one decimal place.

Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there? $y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,4 ] \text { by } [ - 15,15 ]$

Determine the correct equation for the line passing through the point (2,22) with a slope of 7.

Complete the table below by determining both the slope and the y-intercept of each of the lines. equation of the line slope y -intercept x+y=2 2x+y=4 3y+6=0 4x-2y=0

Solve the equation $x - \sqrt { x } + 7 = 0$ graphically in the interval [- 7, 6].

Fill in the table of values for the function $x y = 7$ . x -4 -1 2 4 7 y

If $M ( 2,3 )$ is the midpoint of the line segment AB, and if A has coordinates $( 6,8 )$ find the coordinates of B.

Find the center and radius of the circle. $x ^ { 2 } - x + \frac { 5 } { 4 } + y ^ { 2 } - 2 y = \frac { 1 } { 4 }$

Solve the equation $x - \sqrt { x } + 7 = 0$ graphically in the interval $[ - 7,6 ]$ .

Solve the equation $x ^ { 3 } - 12 x ^ { 2 } + 41 x - 30 = 0$ graphically in the interval [- 1, 7].

Find an equation of the circle with the center at (-5, 1) and the radius of 1.

Find the distance between the points (4,7) and (8,11).

Calculate the y-coordinates in the table below for the function $y = 3 x ^ { 2 } + 7$ . x y -4 -2 2 3 5

Determine the sketch of the region given by the set. $\{ ( x , y ) \mid x \geq - 3 \text { and } y < 0 \}$

Express the statement as a formula.M varies directly as x and inversely as y Use the information that if x = 24 and y = -4 then M = 36 to find the constant of proportionality.

Write the equation for the line passing through the point (8,-11) and parallel to the line x + 2y = 8.

Test the equation $y = 9 x ^ { 3 } + 7 x$ for symmetry

Find the x- and y-intercepts of the graph of the equation. $y = \sqrt { 2 x + 7 }$

Find the approximate solution(s) of the equation $2 x ^ { 2 } + 3 x - 8 = 0$ in the interval $[ - 3,3 ]$ by drawing a graph in an appropriate viewing rectangle. State each answer correct to two decimals.

Determine which point is on the graph of the equation y = 5x + 6

Equations and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Trigonometric Functions: Unit Circle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences and Series

Counting and Probability

Filters

Exam 2: Functions

The stopping distance D of a car after the brakes have been applied varies directly as the square of the speed s. A certain car traveling at 50 mi/h can stop in 240 ft. What is the maximum speed it can be traveling if it needs to stop in 180 ft? Round your answer to one decimal place.

Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there? y=x3−3x,y=x+6;[−4,4] by [−15,15]y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,4 ] \text { by } [ - 15,15 ]y=x3−3x,y=x+6;[−4,4] by [−15,15]

Determine the correct equation for the line passing through the point (2,22) with a slope of 7.

Complete the table below by determining both the slope and the y-intercept of each of the lines. equation of the line slope y -intercept x+y=2 2x+y=4 3y+6=0 4x-2y=0

Solve the equation x−x+7=0x - \sqrt { x } + 7 = 0x−x​+7=0 graphically in the interval [- 7, 6].

Fill in the table of values for the function xy=7x y = 7xy=7 . x -4 -1 2 4 7 y

If M(2,3)M ( 2,3 )M(2,3) is the midpoint of the line segment AB, and if A has coordinates (6,8)( 6,8 )(6,8) find the coordinates of B.

Find the center and radius of the circle. x2−x+54+y2−2y=14x ^ { 2 } - x + \frac { 5 } { 4 } + y ^ { 2 } - 2 y = \frac { 1 } { 4 }x2−x+45​+y2−2y=41​

Solve the equation x−x+7=0x - \sqrt { x } + 7 = 0x−x​+7=0 graphically in the interval [−7,6][ - 7,6 ][−7,6] .

Solve the equation x3−12x2+41x−30=0x ^ { 3 } - 12 x ^ { 2 } + 41 x - 30 = 0x3−12x2+41x−30=0 graphically in the interval [- 1, 7].

Find an equation of the circle with the center at (-5, 1) and the radius of 1.

Find the distance between the points (4,7) and (8,11).

Calculate the y-coordinates in the table below for the function y=3x2+7y = 3 x ^ { 2 } + 7y=3x2+7 . x y -4 -2 2 3 5

Determine the sketch of the region given by the set. {(x,y)∣x≥−3 and y<0}\{ ( x , y ) \mid x \geq - 3 \text { and } y < 0 \}{(x,y)∣x≥−3 and y<0}

Express the statement as a formula.M varies directly as x and inversely as y Use the information that if x = 24 and y = -4 then M = 36 to find the constant of proportionality.

Write the equation for the line passing through the point (8,-11) and parallel to the line x + 2y = 8.

Test the equation y=9x3+7xy = 9 x ^ { 3 } + 7 xy=9x3+7x for symmetry

Find the x- and y-intercepts of the graph of the equation. y=2x+7y = \sqrt { 2 x + 7 }y=2x+7​

Find the approximate solution(s) of the equation 2x2+3x−8=02 x ^ { 2 } + 3 x - 8 = 02x2+3x−8=0 in the interval [−3,3][ - 3,3 ][−3,3] by drawing a graph in an appropriate viewing rectangle. State each answer correct to two decimals.

Determine which point is on the graph of the equation y = 5x + 6

Equations and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Trigonometric Functions: Unit Circle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences and Series

Counting and Probability

Filters

Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there? $y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,4 ] \text { by } [ - 15,15 ]$

Solve the equation $x - \sqrt { x } + 7 = 0$ graphically in the interval [- 7, 6].

Fill in the table of values for the function $x y = 7$ . x -4 -1 2 4 7 y

If $M ( 2,3 )$ is the midpoint of the line segment AB, and if A has coordinates $( 6,8 )$ find the coordinates of B.

Find the center and radius of the circle. $x ^ { 2 } - x + \frac { 5 } { 4 } + y ^ { 2 } - 2 y = \frac { 1 } { 4 }$

Solve the equation $x - \sqrt { x } + 7 = 0$ graphically in the interval $[ - 7,6 ]$ .

Solve the equation $x ^ { 3 } - 12 x ^ { 2 } + 41 x - 30 = 0$ graphically in the interval [- 1, 7].

Calculate the y-coordinates in the table below for the function $y = 3 x ^ { 2 } + 7$ . x y -4 -2 2 3 5

Determine the sketch of the region given by the set. $\{ ( x , y ) \mid x \geq - 3 \text { and } y < 0 \}$

Test the equation $y = 9 x ^ { 3 } + 7 x$ for symmetry

Find the x- and y-intercepts of the graph of the equation. $y = \sqrt { 2 x + 7 }$

Find the approximate solution(s) of the equation $2 x ^ { 2 } + 3 x - 8 = 0$ in the interval $[ - 3,3 ]$ by drawing a graph in an appropriate viewing rectangle. State each answer correct to two decimals.