Question 1

Variation that involves more than two variables is called joint variation.

Accepted Answer

A) True 
 B)False

Question 2

Identify the graph of the function. f ( x ) = 2 x $-$ 1

Accepted Answer

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

Question 3

Specify the domain for the function. $f ( x ) = \frac { - 2 } { x ^ { 2 } + 3 x }$

Accepted Answer

A)  $D = ( - \infty , - 3 ) \cup ( - 3,0 ) \cup ( 0 , \infty )$ 
B)  $D = ( - \infty , \infty )$ 
C)  $D = ( - \infty , 0 ) \cup ( 0 , \infty )$ 
D)  $D = ( - \infty , - 3 ) \cup ( - 3 , \infty )$ 
A)  $D = ( - \infty , - 3 ) \cup ( - 3,0 ) \cup ( 0 , \infty )$ 
B)  $D = ( - \infty , \infty )$ 
C)  $D = ( - \infty , 0 ) \cup ( 0 , \infty )$ 
D)  $D = ( - \infty , - 3 ) \cup ( - 3 , \infty )$

Question 4

If y is directly proportional to x , and y = 225 when x = 200, find the value of y when x = 64.

Accepted Answer

A)  y = 82 
B)  y = 69 
C)  y = 74 
D)  y = 72 
E)  y = 67 
A)  y = 82 
B)  y = 69 
C)  y = 74 
D)  y = 72 
E)  y = 67

Question 5

Find $\frac { f ( a + h ) - f ( a ) } { h }$ for f ( x ) = $-$ x 2 $-$ 6.

Accepted Answer

The answer of Find \(\frac { f ( a +...

Question 6

The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 1,900 feet in 10 seconds, how far will it fall in 11 seconds?

Accepted Answer

A)  d = 2,286 feet 
B)  d = 2,326 feet 
C)  d = 2,308 feet 
D)  d = 2,314 feet 
E)  d = 2,299 feet 
A)  d = 2,286 feet 
B)  d = 2,326 feet 
C)  d = 2,308 feet 
D)  d = 2,314 feet 
E)  d = 2,299 feet

Question 7

Find the constant of variation for the stated condition: A varies jointly as b and h , and A = 150 when b = 40 and h = 5. Please enter your answer as a fraction.

Accepted Answer

The answer of Find the constant of variation for the...

Question 8

Graph the function. $f ( x ) = \frac { 5 } { x - 6 } + 6$

Accepted Answer

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

Question 9

Graph the function. $f ( x ) = \frac { x - 3 } { x }$

Accepted Answer

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

Question 10

y varies inversely as the n th power of x $( n > 0 )$ means $y = \frac { x ^ { n } } { k }$ .

Accepted Answer

A) True 
 B)False

Question 11

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \sqrt { x + 7 } \text { and } g ( x ) = 9 x + 7$ . Please enter your answer in interval notation.

Accepted Answer

The answer of Specify the domain of \(( g \circ...

Question 12

Specify the domain for the function. $h ( x ) = \sqrt { x + 9 }$

Accepted Answer

A)  $D = [ - 9 , \infty )$ 
B)  $D = ( - 9,9 )$ 
C)  $D = ( 9 , \infty )$ 
D)  $D = ( - \infty , 9 ]$ 
A)  $D = [ - 9 , \infty )$ 
B)  $D = ( - 9,9 )$ 
C)  $D = ( 9 , \infty )$ 
D)  $D = ( - \infty , 9 ]$

Question 13

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

Accepted Answer

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

Question 14

Graph the function. $f ( x ) = - ( x - 3 ) ^ { 2 } + 1$

Accepted Answer

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

Question 15

Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 4 x + 8 and g ( x ) = x 2 + 3.

Accepted Answer

A)  (4 x + 8) 2 + 3 
B)  4 x + 11 
C)  (8 x + 4) 2 $-$ 3 
D)  (4 x $-$ 8) 2 $-$ 3 
A)  (4 x + 8) 2 + 3 
B)  4 x + 11 
C)  (8 x + 4) 2 $-$ 3 
D)  (4 x $-$ 8) 2 $-$ 3

Question 16

The time required for a car to travel a certain distance varies inversely as the rate at which it travels. If it takes 9 hours at 40 miles per hour to travel the distance, how long will it take at 90 miles per hour?

Accepted Answer

A)  t = 7 hours 
B)  t = 4 hours 
C)  t = 2 hours 
D)  t = 8 hours 
E)  t = 3 hours 
A)  t = 7 hours 
B)  t = 4 hours 
C)  t = 2 hours 
D)  t = 8 hours 
E)  t = 3 hours

Question 17

Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 3 x 2 $-$ x + 7 and g ( x ) = $-$ x + 8.

Accepted Answer

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

Question 18

Identify the graph of the function. f ( x ) = $-$ ( x $-$ 1) 2 + 1

Accepted Answer

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

Question 19

If $f ( x ) = \frac { 2 } { x - 5 }$ find $f ( - 5 ) , f ( 0 ) , f ( 5 ) , f ( - 3 )$ .

Accepted Answer

A)  $f ( - 5 ) = - \frac { 1 } { 5 } , f ( 0 ) = - \frac { 2 } { 5 } , f ( 5 ) \text { does not exist, } f ( - 3 ) = - \frac { 1 } { 4 }$ 
B)  $f ( - 5 ) \text { does not exist, } f ( 0 ) = - \frac { 2 } { 5 } , f ( 5 ) = \frac { 1 } { 5 } , f ( - 3 ) = - \frac { 1 } { 4 }$ 
C)  $f ( - 5 ) = \frac { 1 } { 5 } , f ( 0 ) = - \frac { 2 } { 5 } , f ( 5 ) \text { does not exist, } f ( - 3 ) = - \frac { 1 } { 4 }$ 
D)  $f ( - 5 ) = - \frac { 1 } { 5 } , f ( 0 ) = - \frac { 2 } { 5 } , f ( 5 ) = \frac { 1 } { 5 } , f ( - 3 ) = \frac { 1 } { 4 }$ 
A)  $f ( - 5 ) = - \frac { 1 } { 5 } , f ( 0 ) = - \frac { 2 } { 5 } , f ( 5 ) \text { does not exist, } f ( - 3 ) = - \frac { 1 } { 4 }$ 
B)  $f ( - 5 ) \text { does not exist, } f ( 0 ) = - \frac { 2 } { 5 } , f ( 5 ) = \frac { 1 } { 5 } , f ( - 3 ) = - \frac { 1 } { 4 }$ 
C)  $f ( - 5 ) = \frac { 1 } { 5 } , f ( 0 ) = - \frac { 2 } { 5 } , f ( 5 ) \text { does not exist, } f ( - 3 ) = - \frac { 1 } { 4 }$ 
D)  $f ( - 5 ) = - \frac { 1 } { 5 } , f ( 0 ) = - \frac { 2 } { 5 } , f ( 5 ) = \frac { 1 } { 5 } , f ( - 3 ) = \frac { 1 } { 4 }$

Question 20

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 2 } { x } \text { and } g ( x ) = 8 x - 3$

Accepted Answer

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

Variation that involves more than two variables is called joint variation.

Identify the graph of the function. f ( x ) = 2 x $-$ 1

Specify the domain for the function. $f ( x ) = \frac { - 2 } { x ^ { 2 } + 3 x }$

If y is directly proportional to x , and y = 225 when x = 200, find the value of y when x = 64.

Find $\frac { f ( a + h ) - f ( a ) } { h }$ for f ( x ) = $-$ x 2 $-$ 6.

The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 1,900 feet in 10 seconds, how far will it fall in 11 seconds?

Find the constant of variation for the stated condition: A varies jointly as b and h , and A = 150 when b = 40 and h = 5. Please enter your answer as a fraction.

Graph the function. $f ( x ) = \frac { 5 } { x - 6 } + 6$

Graph the function. $f ( x ) = \frac { x - 3 } { x }$

y varies inversely as the n th power of x $( n > 0 )$ means $y = \frac { x ^ { n } } { k }$ .

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \sqrt { x + 7 } \text { and } g ( x ) = 9 x + 7$ . Please enter your answer in interval notation.

Specify the domain for the function. $h ( x ) = \sqrt { x + 9 }$

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

Graph the function. $f ( x ) = - ( x - 3 ) ^ { 2 } + 1$

Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 4 x + 8 and g ( x ) = x 2 + 3.

The time required for a car to travel a certain distance varies inversely as the rate at which it travels. If it takes 9 hours at 40 miles per hour to travel the distance, how long will it take at 90 miles per hour?

Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 3 x 2 $-$ x + 7 and g ( x ) = $-$ x + 8.

Identify the graph of the function. f ( x ) = $-$ ( x $-$ 1) 2 + 1

If $f ( x ) = \frac { 2 } { x - 5 }$ find $f ( - 5 ) , f ( 0 ) , f ( 5 ) , f ( - 3 )$ .

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 2 } { x } \text { and } g ( x ) = 8 x - 3$

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

Variation that involves more than two variables is called joint variation.

Identify the graph of the function. f ( x ) = 2 x −-− 1

Specify the domain for the function. f(x)=−2x2+3xf ( x ) = \frac { - 2 } { x ^ { 2 } + 3 x }f(x)=x2+3x−2​

If y is directly proportional to x , and y = 225 when x = 200, find the value of y when x = 64.

Find f(a+h)−f(a)h\frac { f ( a + h ) - f ( a ) } { h }hf(a+h)−f(a)​ for f ( x ) = −-− x 2 −-− 6.

The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 1,900 feet in 10 seconds, how far will it fall in 11 seconds?

Find the constant of variation for the stated condition: A varies jointly as b and h , and A = 150 when b = 40 and h = 5. Please enter your answer as a fraction.

Graph the function. f(x)=5x−6+6f ( x ) = \frac { 5 } { x - 6 } + 6f(x)=x−65​+6

Graph the function. f(x)=x−3xf ( x ) = \frac { x - 3 } { x }f(x)=xx−3​

y varies inversely as the n th power of x (n>0)( n > 0 )(n>0) means y=xnky = \frac { x ^ { n } } { k }y=kxn​ .

Specify the domain of (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f(x)=x+7 and g(x)=9x+7f ( x ) = \sqrt { x + 7 } \text { and } g ( x ) = 9 x + 7f(x)=x+7​ and g(x)=9x+7 . Please enter your answer in interval notation.

Specify the domain for the function. h(x)=x+9h ( x ) = \sqrt { x + 9 }h(x)=x+9​

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

Graph the function. f(x)=−(x−3)2+1f ( x ) = - ( x - 3 ) ^ { 2 } + 1f(x)=−(x−3)2+1

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f ( x ) = 4 x + 8 and g ( x ) = x 2 + 3.

The time required for a car to travel a certain distance varies inversely as the rate at which it travels. If it takes 9 hours at 40 miles per hour to travel the distance, how long will it take at 90 miles per hour?

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f ( x ) = 3 x 2 −-− x + 7 and g ( x ) = −-− x + 8.

Identify the graph of the function. f ( x ) = −-− ( x −-− 1) 2 + 1

If f(x)=2x−5f ( x ) = \frac { 2 } { x - 5 }f(x)=x−52​ find f(−5),f(0),f(5),f(−3)f ( - 5 ) , f ( 0 ) , f ( 5 ) , f ( - 3 )f(−5),f(0),f(5),f(−3) .

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f(x)=2x and g(x)=8x−3f ( x ) = \frac { 2 } { x } \text { and } g ( x ) = 8 x - 3f(x)=x2​ and g(x)=8x−3

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

Identify the graph of the function. f ( x ) = 2 x $-$ 1

Specify the domain for the function. $f ( x ) = \frac { - 2 } { x ^ { 2 } + 3 x }$

Find $\frac { f ( a + h ) - f ( a ) } { h }$ for f ( x ) = $-$ x 2 $-$ 6.

Graph the function. $f ( x ) = \frac { 5 } { x - 6 } + 6$

Graph the function. $f ( x ) = \frac { x - 3 } { x }$

y varies inversely as the n th power of x $( n > 0 )$ means $y = \frac { x ^ { n } } { k }$ .

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \sqrt { x + 7 } \text { and } g ( x ) = 9 x + 7$ . Please enter your answer in interval notation.

Specify the domain for the function. $h ( x ) = \sqrt { x + 9 }$

Graph the function. $f ( x ) = - ( x - 3 ) ^ { 2 } + 1$

Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 4 x + 8 and g ( x ) = x 2 + 3.

Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 3 x 2 $-$ x + 7 and g ( x ) = $-$ x + 8.

Identify the graph of the function. f ( x ) = $-$ ( x $-$ 1) 2 + 1

If $f ( x ) = \frac { 2 } { x - 5 }$ find $f ( - 5 ) , f ( 0 ) , f ( 5 ) , f ( - 3 )$ .

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 2 } { x } \text { and } g ( x ) = 8 x - 3$