Question 1

If $f ( x ) = x ^ { 2 } + 4 x$ , find $f ( x + h ) - f ( x )$ .

Accepted Answer

The answer of If \(f ( x ) = x...

Question 2

Find the slope of the line passing through the points (7,-5) and (9,-5) .

Accepted Answer

A)  0 
B)  undefined 
C)  5 
D)  $\frac { 1 } { 5 }$ 
A)  0 
B)  undefined 
C)  5 
D)  $\frac { 1 } { 5 }$

Question 3

U.S. POSTAGE The graph shown below gives the first-class postage rates in 2007 for mailing letters weighing up to 5 ounces. In the graph, the parallel lines crossing the vertical axis are a symbol which indicates a break in the labeling of the axis. The break enables us to omit a large portion of the grid that would not be used.   Find the cost of postage to mail a 1-oz letter. __________ cents

Accepted Answer

The answer of U.S. POSTAGE The graph shown below gives...

Question 4

The vertical number line is called the __________.

Accepted Answer

The answer of The vertical number line is called the...

Question 5

Which one of the following equations is the equation for the graph below?

Accepted Answer

A)  $x - 3 y = - 6$ 
B)  $x + 3 y = - 6$ 
C)  $x - 3 y = 2$ 
D)  $x + 3 y = 2$ 
A)  $x - 3 y = - 6$ 
B)  $x + 3 y = - 6$ 
C)  $x - 3 y = 2$ 
D)  $x + 3 y = 2$

Question 6

If $\left( 4 , - \frac { 3 } { 2 } \right)$ is the midpoint of segment PQ and the coordinates of P are $( a , b )$ . Find the coordinates of Q in terms of a and b .

Accepted Answer

The answer of If \(\left( 4 , - \frac {...

Question 7

If $f ( x ) = - x ^ { 2 } + 4$ , find $f ( - 3 )$ .

Accepted Answer

A)  13 
B)  -5 
C)  5 
D)  -2 
A)  13 
B)  -5 
C)  5 
D)  -2

Question 8

For the following function, first sketch the graph of its associated function, $g ( x ) = x ^ { 2 }$ . Then draw the graph using translation and/or a reflection. $f ( x ) = ( x + 1 ) ^ { 2 } - 1$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Graph the function by plotting points. $f ( x ) = | x - 2 |$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Find $g ( 11 )$ and $g ( 12 )$ . 
$g ( x ) = ( x - 12 ) ^ { 2 }$
$g ( 11 )$ __________ $g ( 12 )$ __________

Accepted Answer

The answer of Find $g ( 11 )$ and \(g...

Question 11

Find the domain of $f ( x ) = 3 x + 2$ .

Accepted Answer

A)  the set of all real numbers except 0 
B)  the set of all real numbers except $- \frac { 2 } { 3 }$ 
C)  the set of all real numbers except $\sqrt { 3 }$ 
D)  the set of all real numbers 
A)  the set of all real numbers except 0 
B)  the set of all real numbers except $- \frac { 2 } { 3 }$ 
C)  the set of all real numbers except $\sqrt { 3 }$ 
D)  the set of all real numbers

Question 12

Find the x -intercept and y -intercept for $- 14 x - 2 = 3 y$

Accepted Answer

A)  x -intercept: (-7,0) ; y -intercept: $\left( 0 , - \frac { 3 } { 2 } \right)$ 
B)  x -intercept: $\left( 0 , - \frac { 1 } { 7 } \right)$ ; y -intercept: $\left( - \frac { 2 } { 3 } , 0 \right)$ 
C)  x -intercept: (0,7) ; y -intercept: $\left( \frac { 3 } { 2 } , 0 \right)$ 
D)  x -intercept: $\left( - \frac { 1 } { 7 } , 0 \right)$ ; y -intercept: $\left( 0 , - \frac { 2 } { 3 } \right)$ 
A)  x -intercept: (-7,0) ; y -intercept: $\left( 0 , - \frac { 3 } { 2 } \right)$ 
B)  x -intercept: $\left( 0 , - \frac { 1 } { 7 } \right)$ ; y -intercept: $\left( - \frac { 2 } { 3 } , 0 \right)$ 
C)  x -intercept: (0,7) ; y -intercept: $\left( \frac { 3 } { 2 } , 0 \right)$ 
D)  x -intercept: $\left( - \frac { 1 } { 7 } , 0 \right)$ ; y -intercept: $\left( 0 , - \frac { 2 } { 3 } \right)$

Question 13

A carpet company purchased a new loom for $280,000. For income tax purposes, company accountants will use the straight-line depreciation model $y = - 17,500 x + 280,000$ to describe the declining value of the loom. When will the loom be one-half of its purchase price?

Accepted Answer

A)  4 years 
B)  8 years 
C)  12 years 
D)  16 years 
A)  4 years 
B)  8 years 
C)  12 years 
D)  16 years

Question 14

Write an equation of the line that passes through the point (-8,3) and has a slope of -2. Leave the answer in slope-intercept form.

Accepted Answer

A)  $y = - 2 x + 3$ 
B)  $y = - 2 x + 13$ 
C)  $y = - 2 x - 13$ 
D)  $y = - 2 x + 10$ 
A)  $y = - 2 x + 3$ 
B)  $y = - 2 x + 13$ 
C)  $y = - 2 x - 13$ 
D)  $y = - 2 x + 10$

Question 15

U.S. POSTAGE The graph shown below gives the first-class postage rates in 2007 for mailing letters weighing up to 5 ounces. In the graph, the parallel lines crossing the vertical axis are a symbol which indicates a break in the labeling of the axis. The break enables us to omit a large portion of the grid that would not be used. 
 
 Find the cost of postage to mail a 5-oz letter.

Accepted Answer

A)  106 cents 
B)  37 cents 
C)  60 cents 
D)  129 cents 
E)  83 cents 
A)  106 cents 
B)  37 cents 
C)  60 cents 
D)  129 cents 
E)  83 cents

Question 16

For the line segment with end points at $( a , b ) \text { and } ( c , d )$ , six points divide this segment into seven equal parts. Find the coordinates of the point closest to the endpoint $( a , b )$ .

Accepted Answer

The answer of For the line segment with end points...

Question 17

Find $h ( 7 )$ . $\eta ( x ) = \frac { 1 } { x + 8 }$

Accepted Answer

A)  $\frac { 1 } { 15 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $\frac { 1 } { 13 }$ 
D)  16 
E)  15 
A)  $\frac { 1 } { 15 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $\frac { 1 } { 13 }$ 
D)  16 
E)  15

Question 18

Refer to the graph to find the value.   $g ( 0 ) =$ __________

Accepted Answer

The answer of Refer to the graph to find the...

Question 19

Find the slope of the line graphed below.

Accepted Answer

The answer of Find the slope of the line graphed...

Question 20

The horizontal number line is called the __________.

Accepted Answer

The answer of The horizontal number line is called the...

If $f ( x ) = x ^ { 2 } + 4 x$ , find $f ( x + h ) - f ( x )$ .

Find the slope of the line passing through the points (7,-5) and (9,-5) .

The vertical number line is called the __________.

Which one of the following equations is the equation for the graph below?

If $\left( 4 , - \frac { 3 } { 2 } \right)$ is the midpoint of segment PQ and the coordinates of P are $( a , b )$ . Find the coordinates of Q in terms of a and b .

If $f ( x ) = - x ^ { 2 } + 4$ , find $f ( - 3 )$ .

For the following function, first sketch the graph of its associated function, $g ( x ) = x ^ { 2 }$ . Then draw the graph using translation and/or a reflection. $f ( x ) = ( x + 1 ) ^ { 2 } - 1$

Graph the function by plotting points. $f ( x ) = | x - 2 |$

Find $g ( 11 )$ and $g ( 12 )$ . $g ( x ) = ( x - 12 ) ^ { 2 }$ $g ( 11 )$ $g ( 12 )$

Find the domain of $f ( x ) = 3 x + 2$ .

Find the x -intercept and y -intercept for $- 14 x - 2 = 3 y$

A carpet company purchased a new loom for $280,000. For income tax purposes, company accountants will use the straight-line depreciation model $y = - 17,500 x + 280,000$ to describe the declining value of the loom. When will the loom be one-half of its purchase price?

Write an equation of the line that passes through the point (-8,3) and has a slope of -2. Leave the answer in slope-intercept form.

For the line segment with end points at $( a , b ) \text { and } ( c , d )$ , six points divide this segment into seven equal parts. Find the coordinates of the point closest to the endpoint $( a , b )$ .

Find $h ( 7 )$ . $\eta ( x ) = \frac { 1 } { x + 8 }$

Refer to the graph to find the value. $g ( 0 ) =$ __________

Find the slope of the line graphed below.

The horizontal number line is called the __________.

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

If f(x)=x2+4xf ( x ) = x ^ { 2 } + 4 xf(x)=x2+4x , find f(x+h)−f(x)f ( x + h ) - f ( x )f(x+h)−f(x) .

Find the slope of the line passing through the points (7,-5) and (9,-5) .

The vertical number line is called the __________.

Which one of the following equations is the equation for the graph below?

If (4,−32)\left( 4 , - \frac { 3 } { 2 } \right)(4,−23​) is the midpoint of segment PQ and the coordinates of P are (a,b)( a , b )(a,b) . Find the coordinates of Q in terms of a and b .

If f(x)=−x2+4f ( x ) = - x ^ { 2 } + 4f(x)=−x2+4 , find f(−3)f ( - 3 )f(−3) .

For the following function, first sketch the graph of its associated function, g(x)=x2g ( x ) = x ^ { 2 }g(x)=x2 . Then draw the graph using translation and/or a reflection. f(x)=(x+1)2−1f ( x ) = ( x + 1 ) ^ { 2 } - 1f(x)=(x+1)2−1

Graph the function by plotting points. f(x)=∣x−2∣f ( x ) = | x - 2 |f(x)=∣x−2∣

Find g(11)g ( 11 )g(11) and g(12)g ( 12 )g(12) . g(x)=(x−12)2g ( x ) = ( x - 12 ) ^ { 2 }g(x)=(x−12)2 g(11)g ( 11 )g(11) __________ g(12)g ( 12 )g(12) __________

Find the domain of f(x)=3x+2f ( x ) = 3 x + 2f(x)=3x+2 .

Find the x -intercept and y -intercept for −14x−2=3y- 14 x - 2 = 3 y−14x−2=3y

Write an equation of the line that passes through the point (-8,3) and has a slope of -2. Leave the answer in slope-intercept form.

For the line segment with end points at (a,b) and (c,d)( a , b ) \text { and } ( c , d )(a,b) and (c,d) , six points divide this segment into seven equal parts. Find the coordinates of the point closest to the endpoint (a,b)( a , b )(a,b) .

Find h(7)h ( 7 )h(7) . η(x)=1x+8\eta ( x ) = \frac { 1 } { x + 8 }η(x)=x+81​

Refer to the graph to find the value. g(0)=g ( 0 ) =g(0)= __________

Find the slope of the line graphed below.

The horizontal number line is called the __________.

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

If $f ( x ) = x ^ { 2 } + 4 x$ , find $f ( x + h ) - f ( x )$ .

If $\left( 4 , - \frac { 3 } { 2 } \right)$ is the midpoint of segment PQ and the coordinates of P are $( a , b )$ . Find the coordinates of Q in terms of a and b .

If $f ( x ) = - x ^ { 2 } + 4$ , find $f ( - 3 )$ .

For the following function, first sketch the graph of its associated function, $g ( x ) = x ^ { 2 }$ . Then draw the graph using translation and/or a reflection. $f ( x ) = ( x + 1 ) ^ { 2 } - 1$

Graph the function by plotting points. $f ( x ) = | x - 2 |$

Find $g ( 11 )$ and $g ( 12 )$ . $g ( x ) = ( x - 12 ) ^ { 2 }$ $g ( 11 )$ $g ( 12 )$

Find the domain of $f ( x ) = 3 x + 2$ .

Find the x -intercept and y -intercept for $- 14 x - 2 = 3 y$

For the line segment with end points at $( a , b ) \text { and } ( c , d )$ , six points divide this segment into seven equal parts. Find the coordinates of the point closest to the endpoint $( a , b )$ .

Find $h ( 7 )$ . $\eta ( x ) = \frac { 1 } { x + 8 }$

Refer to the graph to find the value. $g ( 0 ) =$ __________