Match each domain and range of the functions with the corresponding answer. $\begin{array} { l } \{ ( - 2,8 ) , ( 4,5 ) , ( 7,8 ) \} \\ \{ ( 2,3 ) , ( - 4 , - 5 ) , ( - 7,8 ) \} \end{array}$ -$\{ 5,8 \}$

A) domain of (2) B) domain of (1) C) range of (1) D) range of (2) A) domain of (2) B) domain of (1) C) range of (1) D) range of (2)

Write an equation in slope-intercept form of the line with the given properties. $\begin{array}{|l|l|} \hline \text { x } & \text { y } \\ \hline 2 & 3 \\ \hline 0 & -4\\ \hline \end{array}$

A) $y = \frac { 2 } { 7 } x - 4$ B) $y = \frac { 2 } { 7 } x + 4$ C) $y = \frac { 7 } { 2 } x + 4$ D) $y = x - 4$ E) $y = \frac { 7 } { 2 } x - 4$ A) $y = \frac { 2 } { 7 } x - 4$ B) $y = \frac { 2 } { 7 } x + 4$ C) $y = \frac { 7 } { 2 } x + 4$ D) $y = x - 4$ E) $y = \frac { 7 } { 2 } x - 4$

Exam 2: Graphs, Equations of Lines, and Functions

Determine whether the line that passes through the two given points is parallel or perpendicular (or neither ) to a line with a slope of - 2. (3, 2), (4, 4)

Free

(Multiple Choice)

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Question 1

Correct Answer:

Verified

A

Find the domain and range of the function. $\{ ( - 3,8 ) , ( 4,5 ) , ( 7,8 ) \}$

Free

(Multiple Choice)

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Question 2

Correct Answer:

Verified

D

The graph in the following illustration shows the depths of a submarine at certain times. What is the sub doing as t increases from 1 to 2?

Free

(Multiple Choice)

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Question 3

Correct Answer:

Verified

B

If $f ( x ) = - 5 x + 3$ , find $\frac { f ( x + h ) - f ( x ) } { h }$ .

(Short Answer)

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Question 4

Write an equation in slope-intercept form of the line that passes through the points (-3,4) and (7,6) .

(Multiple Choice)

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Question 5

Match each domain and range of the functions with the corresponding answer. \{(-2,8),(4,5),(7,8)\} \{(2,3),(-4,-5),(-7,8)\} - $\{ 5,8 \}$

(Multiple Choice)

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Question 6

Consider the points $A ( 0,4 ) , B ( 3,0 ) , C ( 4,7 ) \text {, and } D ( 7,3 )$ . Let $L _ { 1 }$ be the segment connecting the midpoint of segment AB to the midpoint of segment BC. Let $L _ { 2 }$ be the segment connecting the midpoint of segment BC to the midpoint of segment CD. Is $L _ { 1 }$ perpendicular to $L _ { 2 }$ ?

(Multiple Choice)

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Question 7

Use the slope-intercept form to write an equation of the line with the given properties. slope -5 ; $y \text {-intercept } ( 0,11 )$

(Essay)

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Question 8

Write the equation in $x = a$ form. $- 2 x + 7 = 13$

(Multiple Choice)

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Question 9

Give the coordinates of point E . ( , )

(Essay)

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Question 10

The graph of $f ( x ) = x ^ { 2 }$ is a cuplike shape called a(n) __________.

(Short Answer)

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Question 11

A comparison of two numbers using a quotient is called a(n) __________.

(Short Answer)

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Question 12

Graph $3 y - 9 = 0$ . Give the slope and y -intercept.

(Essay)

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Question 13

If $\left( - \frac { 5 } { 2 } , 5 \right)$ is the midpoint of segment PQ and the coordinates of Q are (3,6) , find the coordinates of P.

(Multiple Choice)

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Question 14

The x - and y -axes divide the coordinate plane into four regions called __________.

(Multiple Choice)

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Question 15

Find $f ( 3 )$ . $f ( x ) = 15 - 2 x$

(Multiple Choice)

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Question 16

Consider the linear equation $6 x - 10 y = - 30$ . Find the x -intercept of its graph.

(Multiple Choice)

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Question 17

Write an equation in slope-intercept form of the line with the given properties. x y 2 3 0 -4

(Multiple Choice)

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Question 18

Write an equation of the line that is perpendicular to the line $y = \frac { 1 } { 6 } x - 4$ and passing through the point (0,-7) . Leave answer in slope-intercept form.

(Multiple Choice)

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Question 19

Sketch the graph of the associated function, $g ( x ) = | x |$ then draw the graph of the function f using a translation and/or a reflection. $f ( x ) = | x | - 3$

(Multiple Choice)

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Question 20

Determine whether the line that passes through the two given points is parallel or perpendicular (or neither ) to a line with a slope of - 2. (3, 2), (4, 4)

Find the domain and range of the function. $\{ ( - 3,8 ) , ( 4,5 ) , ( 7,8 ) \}$

The graph in the following illustration shows the depths of a submarine at certain times. What is the sub doing as t increases from 1 to 2?

If $f ( x ) = - 5 x + 3$ , find $\frac { f ( x + h ) - f ( x ) } { h }$ .

Write an equation in slope-intercept form of the line that passes through the points (-3,4) and (7,6) .

Match each domain and range of the functions with the corresponding answer. \{(-2,8),(4,5),(7,8)\} \{(2,3),(-4,-5),(-7,8)\} - $\{ 5,8 \}$

Use the slope-intercept form to write an equation of the line with the given properties. slope -5 ; $y \text {-intercept } ( 0,11 )$

Write the equation in $x = a$ form. $- 2 x + 7 = 13$

Give the coordinates of point E . ( , )

The graph of $f ( x ) = x ^ { 2 }$ is a cuplike shape called a(n) __________.

A comparison of two numbers using a quotient is called a(n) __________.

Graph $3 y - 9 = 0$ . Give the slope and y -intercept.

If $\left( - \frac { 5 } { 2 } , 5 \right)$ is the midpoint of segment PQ and the coordinates of Q are (3,6) , find the coordinates of P.

The x - and y -axes divide the coordinate plane into four regions called __________.

Find $f ( 3 )$ . $f ( x ) = 15 - 2 x$

Consider the linear equation $6 x - 10 y = - 30$ . Find the x -intercept of its graph.

Write an equation in slope-intercept form of the line with the given properties. x y 2 3 0 -4

Write an equation of the line that is perpendicular to the line $y = \frac { 1 } { 6 } x - 4$ and passing through the point (0,-7) . Leave answer in slope-intercept form.

Sketch the graph of the associated function, $g ( x ) = | x |$ then draw the graph of the function f using a translation and/or a reflection. $f ( x ) = | x | - 3$

A Review of Basic Algebra

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 2: Graphs, Equations of Lines, and Functions

Determine whether the line that passes through the two given points is parallel or perpendicular (or neither ) to a line with a slope of - 2. (3, 2), (4, 4)

Find the domain and range of the function. {(−3,8),(4,5),(7,8)}\{ ( - 3,8 ) , ( 4,5 ) , ( 7,8 ) \}{(−3,8),(4,5),(7,8)}

The graph in the following illustration shows the depths of a submarine at certain times. What is the sub doing as t increases from 1 to 2?

If f(x)=−5x+3f ( x ) = - 5 x + 3f(x)=−5x+3 , find f(x+h)−f(x)h\frac { f ( x + h ) - f ( x ) } { h }hf(x+h)−f(x)​ .

Write an equation in slope-intercept form of the line that passes through the points (-3,4) and (7,6) .

Match each domain and range of the functions with the corresponding answer. \{(-2,8),(4,5),(7,8)\} \{(2,3),(-4,-5),(-7,8)\} - {5,8}\{ 5,8 \}{5,8}

Use the slope-intercept form to write an equation of the line with the given properties. slope -5 ; y-intercept (0,11)y \text {-intercept } ( 0,11 )y-intercept (0,11)

Write the equation in x=ax = ax=a form. −2x+7=13- 2 x + 7 = 13−2x+7=13

Give the coordinates of point E . (________ , ________)

The graph of f(x)=x2f ( x ) = x ^ { 2 }f(x)=x2 is a cuplike shape called a(n) __________.

A comparison of two numbers using a quotient is called a(n) __________.

Graph 3y−9=03 y - 9 = 03y−9=0 . Give the slope and y -intercept.

If (−52,5)\left( - \frac { 5 } { 2 } , 5 \right)(−25​,5) is the midpoint of segment PQ and the coordinates of Q are (3,6) , find the coordinates of P.

The x - and y -axes divide the coordinate plane into four regions called __________.

Find f(3)f ( 3 )f(3) . f(x)=15−2xf ( x ) = 15 - 2 xf(x)=15−2x

Consider the linear equation 6x−10y=−306 x - 10 y = - 306x−10y=−30 . Find the x -intercept of its graph.

Write an equation in slope-intercept form of the line with the given properties. x y 2 3 0 -4

Write an equation of the line that is perpendicular to the line y=16x−4y = \frac { 1 } { 6 } x - 4y=61​x−4 and passing through the point (0,-7) . Leave answer in slope-intercept form.

Sketch the graph of the associated function, g(x)=∣x∣g ( x ) = | x |g(x)=∣x∣ then draw the graph of the function f using a translation and/or a reflection. f(x)=∣x∣−3f ( x ) = | x | - 3f(x)=∣x∣−3

A Review of Basic Algebra

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Find the domain and range of the function. $\{ ( - 3,8 ) , ( 4,5 ) , ( 7,8 ) \}$

If $f ( x ) = - 5 x + 3$ , find $\frac { f ( x + h ) - f ( x ) } { h }$ .

Match each domain and range of the functions with the corresponding answer. \{(-2,8),(4,5),(7,8)\} \{(2,3),(-4,-5),(-7,8)\} - $\{ 5,8 \}$

Use the slope-intercept form to write an equation of the line with the given properties. slope -5 ; $y \text {-intercept } ( 0,11 )$

Write the equation in $x = a$ form. $- 2 x + 7 = 13$

Give the coordinates of point E . ( , )

The graph of $f ( x ) = x ^ { 2 }$ is a cuplike shape called a(n) __________.

Graph $3 y - 9 = 0$ . Give the slope and y -intercept.

If $\left( - \frac { 5 } { 2 } , 5 \right)$ is the midpoint of segment PQ and the coordinates of Q are (3,6) , find the coordinates of P.

Find $f ( 3 )$ . $f ( x ) = 15 - 2 x$

Consider the linear equation $6 x - 10 y = - 30$ . Find the x -intercept of its graph.

Write an equation of the line that is perpendicular to the line $y = \frac { 1 } { 6 } x - 4$ and passing through the point (0,-7) . Leave answer in slope-intercept form.

Sketch the graph of the associated function, $g ( x ) = | x |$ then draw the graph of the function f using a translation and/or a reflection. $f ( x ) = | x | - 3$