Question 1

A relation is a special type of function.

Accepted Answer

A) True 
 B)False

Question 2

Specify the domain for the function. Please enter your answer in interval notation. $f ( x ) = \sqrt { x ^ { 2 } + 2 x - 48 }$

Accepted Answer

The answer of Specify the domain for the function. Please...

Question 3

Suppose that the cost function for producing a certain item is given by C ( n ) = 3 n + 4 where n represents the number of items produced. Find C (150), C (570), C (770), C (1,580).

Accepted Answer

A)  C (150) = 474, C (570) = 1,734, C (770) = 2,334, C (1,580) = 4,764 
B)  C (150) = 464, C (570) = 1,724, C (770) = 2,324, C (1,580) = 4,754 
C)  C (150) = 484, C (570) = 1,744, C (770) = 2,344, C (1,580) = 4,774 
D)  C (150) = 454, C (570) = 1,714, C (770) = 2,314, C (1,580) = 4,744 
A)  C (150) = 474, C (570) = 1,734, C (770) = 2,334, C (1,580) = 4,764 
B)  C (150) = 464, C (570) = 1,724, C (770) = 2,324, C (1,580) = 4,754 
C)  C (150) = 484, C (570) = 1,744, C (770) = 2,344, C (1,580) = 4,774 
D)  C (150) = 454, C (570) = 1,714, C (770) = 2,314, C (1,580) = 4,744

Question 4

If f ( x ) = 8 x $-$ 5 and g ( x ) = $-$ 5 x + 9, find $( g \circ f ) ( 5 )$ .

Accepted Answer

A)  166 
B)  133 
C)  $-$ 166 
D)  $-$ 133 
A)  166 
B)  133 
C)  $-$ 166 
D)  $-$ 133

Question 5

The graph of $f ( x ) = ( - x ) ^ { 2 }$ is the graph of $f ( x ) = x ^ { 2 }$ reflected across the y axis.

Accepted Answer

A) True 
 B)False

Question 6

Specify the domain for the relation. {( x , y ) | 8 y $-$ 5 x = 15}

Accepted Answer

A)  $D = ( 8 , \infty )$ 
B)  $D = ( - \infty , \infty )$ 
C)  $D = ( - \infty , 8 )$ 
D)  $D = ( - 8,5 )$ 
A)  $D = ( 8 , \infty )$ 
B)  $D = ( - \infty , \infty )$ 
C)  $D = ( - \infty , 8 )$ 
D)  $D = ( - 8,5 )$

Question 7

Specify the range for the relation. {(3, 1), (9, 7), (11, 12), (15, 18)}

Accepted Answer

A)  R = {1, 7, 12, 18} 
B)  R = ( $-$ 3, 15) 
C)  R = {3, 9, 11, 15, 1, 7, 12, 18} 
D)  R = {3, 9, 11, 15} 
A)  R = {1, 7, 12, 18} 
B)  R = ( $-$ 3, 15) 
C)  R = {3, 9, 11, 15, 1, 7, 12, 18} 
D)  R = {3, 9, 11, 15}

Question 8

The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 144 feet per second is a function of the time and is given by the equation f ( x ) = 144 x $-$ 16 x 2 , where x represents the time. Find the highest point reached by the projectile.

Accepted Answer

A)  144 feet 
B)  324 feet 
C)  648 feet 
A)  144 feet 
B)  324 feet 
C)  648 feet

Question 9

The graph of a linear function of the form $f ( x ) = b$ is a vertical line.

Accepted Answer

A) True 
 B)False

Question 10

Translate the statement of variation into an equation and use k as the constant of variation. v varies directly as the cube of w .

Accepted Answer

The answer of Translate the statement of variation into an...

Question 11

The volume of a cylinder varies jointly as its altitude and the square of the radius of its base. If the volume of a cylinder is 760 cubic centimeters when the radius of the base is 11 centimeters and its altitude is 2 centimeters, find the volume of a cylinder that has a base of radius 99 centimeters. The altitude of the cylinder is 14 centimeters. __________ cubic centimeters

Accepted Answer

The answer of The volume of a cylinder varies jointly...

Question 12

Translate the statement of variation into an equation and use k as the constant of variation. D varies jointly as l and w .

Accepted Answer

A)  $D = \frac { k w } { l }$ 
B)  l = k Dw 
C)  D = k lw 
D)  D = lw 
E)  $D = \frac { k } { l w }$ 
A)  $D = \frac { k w } { l }$ 
B)  l = k Dw 
C)  D = k lw 
D)  D = lw 
E)  $D = \frac { k } { l w }$

Question 13

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 9 } { x } \text { and } g ( x ) = | x |$ .

Accepted Answer

The answer of Determine \(( g \circ f ) (...

Question 14

Graph the function. $f ( x ) = x ^ { 3 } - 6$

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 15

Find the constant of variation for the stated condition: r varies inversely as the cube of t , and $r = \frac { 1 } { 100 }$ when t = 10.

Accepted Answer

A)  $k = - \frac { 1 } { 1,000 }$ 
B)  $k = \frac { 1 } { 10 }$ 
C)  k = 10 
D)  $k = \frac { 1 } { 100 }$ 
E)  $k = \frac { 1 } { 1,000 }$ 
A)  $k = - \frac { 1 } { 1,000 }$ 
B)  $k = \frac { 1 } { 10 }$ 
C)  k = 10 
D)  $k = \frac { 1 } { 100 }$ 
E)  $k = \frac { 1 } { 1,000 }$

Question 16

Identify the graph of the function. f ( x ) = 3

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 17

Find $\frac { f ( a + h ) - f ( a ) } { h }$ for f ( x ) = $-$ 9 x + 3.

Accepted Answer

A)  9 a 
B)  h + a 
C)  $-$ 9 
D)  $-$ 3 
A)  9 a 
B)  h + a 
C)  $-$ 9 
D)  $-$ 3

Question 18

Graph the function. $f ( x ) = - 5 x ^ { 3 } - 6$

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 19

The constant k can be referred to as the constant of proportionality.

Accepted Answer

A) True 
 B)False

Question 20

Specify the domain for the function. $f ( x ) = \frac { 8 } { x - 7 }$

Accepted Answer

A)  $D = ( - \infty , 7 )$ 
B)  $D = ( - \infty , \infty )$ 
C)  $D = ( 7 , \infty )$ 
D)  $D = ( - \infty , 7 ) \cup ( 7 , \infty )$ 
A)  $D = ( - \infty , 7 )$ 
B)  $D = ( - \infty , \infty )$ 
C)  $D = ( 7 , \infty )$ 
D)  $D = ( - \infty , 7 ) \cup ( 7 , \infty )$

A relation is a special type of function.

Specify the domain for the function. Please enter your answer in interval notation. $f ( x ) = \sqrt { x ^ { 2 } + 2 x - 48 }$

Suppose that the cost function for producing a certain item is given by C ( n ) = 3 n + 4 where n represents the number of items produced. Find C (150), C (570), C (770), C (1,580).

If f ( x ) = 8 x $-$ 5 and g ( x ) = $-$ 5 x + 9, find $( g \circ f ) ( 5 )$ .

The graph of $f ( x ) = ( - x ) ^ { 2 }$ is the graph of $f ( x ) = x ^ { 2 }$ reflected across the y axis.

Specify the domain for the relation. {( x , y ) | 8 y $-$ 5 x = 15}

Specify the range for the relation. {(3, 1), (9, 7), (11, 12), (15, 18)}

The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 144 feet per second is a function of the time and is given by the equation f ( x ) = 144 x $-$ 16 x 2 , where x represents the time. Find the highest point reached by the projectile.

The graph of a linear function of the form $f ( x ) = b$ is a vertical line.

Translate the statement of variation into an equation and use k as the constant of variation. v varies directly as the cube of w .

Translate the statement of variation into an equation and use k as the constant of variation. D varies jointly as l and w .

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 9 } { x } \text { and } g ( x ) = | x |$ .

Graph the function. $f ( x ) = x ^ { 3 } - 6$

Find the constant of variation for the stated condition: r varies inversely as the cube of t , and $r = \frac { 1 } { 100 }$ when t = 10.

Identify the graph of the function. f ( x ) = 3

Find $\frac { f ( a + h ) - f ( a ) } { h }$ for f ( x ) = $-$ 9 x + 3.

Graph the function. $f ( x ) = - 5 x ^ { 3 } - 6$

The constant k can be referred to as the constant of proportionality.

Specify the domain for the function. $f ( x ) = \frac { 8 } { x - 7 }$

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 13: Functions

A relation is a special type of function.

Specify the domain for the function. Please enter your answer in interval notation. f(x)=x2+2x−48f ( x ) = \sqrt { x ^ { 2 } + 2 x - 48 }f(x)=x2+2x−48​

Suppose that the cost function for producing a certain item is given by C ( n ) = 3 n + 4 where n represents the number of items produced. Find C (150), C (570), C (770), C (1,580).

If f ( x ) = 8 x −-− 5 and g ( x ) = −-− 5 x + 9, find (g∘f)(5)( g \circ f ) ( 5 )(g∘f)(5) .

The graph of f(x)=(−x)2f ( x ) = ( - x ) ^ { 2 }f(x)=(−x)2 is the graph of f(x)=x2f ( x ) = x ^ { 2 }f(x)=x2 reflected across the y axis.

Specify the domain for the relation. {( x , y ) | 8 y −-− 5 x = 15}

Specify the range for the relation. {(3, 1), (9, 7), (11, 12), (15, 18)}

The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 144 feet per second is a function of the time and is given by the equation f ( x ) = 144 x −-− 16 x 2 , where x represents the time. Find the highest point reached by the projectile.

The graph of a linear function of the form f(x)=bf ( x ) = bf(x)=b is a vertical line.

Translate the statement of variation into an equation and use k as the constant of variation. v varies directly as the cube of w .

Translate the statement of variation into an equation and use k as the constant of variation. D varies jointly as l and w .

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f(x)=9x and g(x)=∣x∣f ( x ) = \frac { 9 } { x } \text { and } g ( x ) = | x |f(x)=x9​ and g(x)=∣x∣ .

Graph the function. f(x)=x3−6f ( x ) = x ^ { 3 } - 6f(x)=x3−6

Find the constant of variation for the stated condition: r varies inversely as the cube of t , and r=1100r = \frac { 1 } { 100 }r=1001​ when t = 10.

Identify the graph of the function. f ( x ) = 3

Find f(a+h)−f(a)h\frac { f ( a + h ) - f ( a ) } { h }hf(a+h)−f(a)​ for f ( x ) = −-− 9 x + 3.

Graph the function. f(x)=−5x3−6f ( x ) = - 5 x ^ { 3 } - 6f(x)=−5x3−6

The constant k can be referred to as the constant of proportionality.

Specify the domain for the function. f(x)=8x−7f ( x ) = \frac { 8 } { x - 7 }f(x)=x−78​

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Specify the domain for the function. Please enter your answer in interval notation. $f ( x ) = \sqrt { x ^ { 2 } + 2 x - 48 }$

If f ( x ) = 8 x $-$ 5 and g ( x ) = $-$ 5 x + 9, find $( g \circ f ) ( 5 )$ .

The graph of $f ( x ) = ( - x ) ^ { 2 }$ is the graph of $f ( x ) = x ^ { 2 }$ reflected across the y axis.

Specify the domain for the relation. {( x , y ) | 8 y $-$ 5 x = 15}

The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 144 feet per second is a function of the time and is given by the equation f ( x ) = 144 x $-$ 16 x 2 , where x represents the time. Find the highest point reached by the projectile.

The graph of a linear function of the form $f ( x ) = b$ is a vertical line.

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 9 } { x } \text { and } g ( x ) = | x |$ .

Graph the function. $f ( x ) = x ^ { 3 } - 6$

Find the constant of variation for the stated condition: r varies inversely as the cube of t , and $r = \frac { 1 } { 100 }$ when t = 10.

Find $\frac { f ( a + h ) - f ( a ) } { h }$ for f ( x ) = $-$ 9 x + 3.

Graph the function. $f ( x ) = - 5 x ^ { 3 } - 6$

Specify the domain for the function. $f ( x ) = \frac { 8 } { x - 7 }$