Question 1

Specify the domain for the function. f ( x ) = 2 x $-$ 8

Accepted Answer

A)  $D = ( 8 , \infty )$ 
B)  $D = ( - \infty , 8 )$ 
C)  $D = ( - \infty , \infty )$ 
D)  $D = ( - 8,2 )$ 
A)  $D = ( 8 , \infty )$ 
B)  $D = ( - \infty , 8 )$ 
C)  $D = ( - \infty , \infty )$ 
D)  $D = ( - 8,2 )$

Question 2

Graph the function. $f ( x ) = 4 x ^ { 3 } + 1$

Accepted Answer

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

Question 3

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

Accepted Answer

A)  $- \frac { 3 } { | x | }$ 
B)  $\frac { 3 } { x }$ 
C)  $\frac { 3 } { | x | }$ 
D)  $\frac { | x | } { 3 }$ 
A)  $- \frac { 3 } { | x | }$ 
B)  $\frac { 3 } { x }$ 
C)  $\frac { 3 } { | x | }$ 
D)  $\frac { | x | } { 3 }$

Question 4

Specify the range for the relation. {( x , y ) | 2 x 2 = 8 y 3}

Accepted Answer

A)  $D = ( - \infty , \infty )$ 
B)  $D = ( - 2,8 )$ 
C)  $D = ( 2 , \infty )$ 
D)  $D = ( - \infty , 2 )$ 
A)  $D = ( - \infty , \infty )$ 
B)  $D = ( - 2,8 )$ 
C)  $D = ( 2 , \infty )$ 
D)  $D = ( - \infty , 2 )$

Question 5

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

Accepted Answer

A)  6 a 
B)  $-$ 6 
C)  h + a 
D)  $-$ 2 a $-$ h 
A)  6 a 
B)  $-$ 6 
C)  h + a 
D)  $-$ 2 a $-$ h

Question 6

If f ( x ) = $-$ 7| x | + 8, find f (0), f ( $-$ 4), f (2), f ( $-$ 6).

Accepted Answer

A)  f (0) = 8, f ( $-$ 4) = $-$ 20, f (2) = 6, f ( $-$ 6) = $-$ 34 
B)  f (0) = 9, f ( $-$ 4) = $-$ 21, f (2) = 5, f ( $-$ 6) = $-$ 35 
C)  f (0) = 8, f ( $-$ 4) = 20, f (2) = 6, f ( $-$ 6) = 34 
D)  f (0) = 11, f ( $-$ 4) = $-$ 22, f (2) = 3, f ( $-$ 6) = $-$ 36 
A)  f (0) = 8, f ( $-$ 4) = $-$ 20, f (2) = 6, f ( $-$ 6) = $-$ 34 
B)  f (0) = 9, f ( $-$ 4) = $-$ 21, f (2) = 5, f ( $-$ 6) = $-$ 35 
C)  f (0) = 8, f ( $-$ 4) = 20, f (2) = 6, f ( $-$ 6) = 34 
D)  f (0) = 11, f ( $-$ 4) = $-$ 22, f (2) = 3, f ( $-$ 6) = $-$ 36

Question 7

The axis of symmetry for a parabola passes through the center of the parabola.

Accepted Answer

A) True 
 B)False

Question 8

Graph the function. $f ( x ) = - 4 | x + 5 | + 3$

Accepted Answer

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

Question 9

If f ( x ) = 3 x $-$ 2 and g ( x ) = $-$ 6 x + 3, find $( f \circ g ) ( 8 ) \text { and } ( g \circ f ) ( 8 )$ . Match each expression with the corresponding answer.
-$- 129$

Accepted Answer

A)  $( f \circ g ) ( 8 )$ 
B)  $( g \circ f ) ( 8 )$ 
A)  $( f \circ g ) ( 8 )$ 
B)  $( g \circ f ) ( 8 )$

Question 10

Find $\frac { f ( a + h ) - f ( a ) } { h }$ for f ( x ) = x 2 $-$ 5 x + 2.

Accepted Answer

A)  2 a + h 
B)  2 a + h $-$ 5 
C)  $-$ 2 a $-$ h + 5 
D)  a + h $-$ 2 
A)  2 a + h 
B)  2 a + h $-$ 5 
C)  $-$ 2 a $-$ h + 5 
D)  a + h $-$ 2

Question 11

If $f ( x ) = \sqrt { x + 2 } \text { and } g ( x ) = 6 x - 6 \text {, }$ find $( g \circ f ) ( 62 )$ .

Accepted Answer

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

Question 12

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 8 x and g ( x ) = 4 x $-$ 9. Please enter your answer in interval notation.

Accepted Answer

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

Question 13

Find the x intercepts of $f ( x ) = 3 x ^ { 2 } + 20 x - 7$ .

Accepted Answer

The answer of Find the x intercepts of \(f (...

Question 14

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 3 } { 13 x } \text { and } g ( x ) = \frac { 1 } { x + 3 }$ . Please enter your answer in interval notation.

Accepted Answer

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

Question 15

If y is inversely proportional to x , and $y = \frac { 1 } { 30 }$ when x = 4, find the value of y when x = 16. Please enter your answer as a fraction.

Accepted Answer

The answer of If y is inversely proportional to x...

Question 16

The domain for $( f \circ g ) ( x )$ is always the same as the domain for f .

Accepted Answer

A) True 
 B)False

Question 17

Find the constant of variation for the stated condition: A varies jointly as b and h , and A = 135 when b = 24 and h = 9.

Accepted Answer

A)  $k = 5$ 
B)  $k = - \frac { 8 } { 5 }$ 
C)  $k = 7$ 
D)  $k = \frac { 8 } { 5 }$ 
E)  $k = \frac { 5 } { 8 }$ 
A)  $k = 5$ 
B)  $k = - \frac { 8 } { 5 }$ 
C)  $k = 7$ 
D)  $k = \frac { 8 } { 5 }$ 
E)  $k = \frac { 5 } { 8 }$

Question 18

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

Accepted Answer

A)  $\frac { 3 } { \sqrt { x } }$ 
B)  $\frac { 3 } { x ^ { 2 } }$ 
C)  $\sqrt { \frac { 3 } { x } }$ 
D)  $\frac { \sqrt { x } } { 3 }$ 
A)  $\frac { 3 } { \sqrt { x } }$ 
B)  $\frac { 3 } { x ^ { 2 } }$ 
C)  $\sqrt { \frac { 3 } { x } }$ 
D)  $\frac { \sqrt { x } } { 3 }$

Question 19

If $f ( x ) = \sqrt { x + 6 } \text { and } g ( x ) = 3 x - 3$ find $( g \circ f ) ( 10 )$ .

Accepted Answer

A)  $-$ 9 
B)  10 
C)  9 
D)  $-$ 11 
A)  $-$ 9 
B)  10 
C)  9 
D)  $-$ 11

Question 20

Identify the graph of the function. f ( x ) = x 2 + 4 x + 3

Accepted Answer

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

Specify the domain for the function. f ( x ) = 2 x $-$ 8

Graph the function. $f ( x ) = 4 x ^ { 3 } + 1$

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

Specify the range for the relation. {( x , y ) | 2 x ² = 8 y ³}

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

If f ( x ) = $-$ 7| x | + 8, find f (0), f ( $-$ 4), f (2), f ( $-$ 6).

The axis of symmetry for a parabola passes through the center of the parabola.

Graph the function. $f ( x ) = - 4 | x + 5 | + 3$

If f ( x ) = 3 x $-$ 2 and g ( x ) = $-$ 6 x + 3, find $( f \circ g ) ( 8 ) \text { and } ( g \circ f ) ( 8 )$ . Match each expression with the corresponding answer. - $- 129$

Find $\frac { f ( a + h ) - f ( a ) } { h }$ for f ( x ) = x 2 $-$ 5 x + 2.

If $f ( x ) = \sqrt { x + 2 } \text { and } g ( x ) = 6 x - 6 \text {, }$ find $( g \circ f ) ( 62 )$ .

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 8 x and g ( x ) = 4 x $-$ 9. Please enter your answer in interval notation.

Find the x intercepts of $f ( x ) = 3 x ^ { 2 } + 20 x - 7$ .

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 3 } { 13 x } \text { and } g ( x ) = \frac { 1 } { x + 3 }$ . Please enter your answer in interval notation.

If y is inversely proportional to x , and $y = \frac { 1 } { 30 }$ when x = 4, find the value of y when x = 16. Please enter your answer as a fraction.

The domain for $( f \circ g ) ( x )$ is always the same as the domain for f .

Find the constant of variation for the stated condition: A varies jointly as b and h , and A = 135 when b = 24 and h = 9.

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

If $f ( x ) = \sqrt { x + 6 } \text { and } g ( x ) = 3 x - 3$ find $( g \circ f ) ( 10 )$ .

Identify the graph of the function. f ( x ) = x ² + 4 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

Specify the domain for the function. f ( x ) = 2 x −-− 8

Graph the function. f(x)=4x3+1f ( x ) = 4 x ^ { 3 } + 1f(x)=4x3+1

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f(x)=3x and g(x)=∣x∣f ( x ) = \frac { 3 } { x } \text { and } g ( x ) = | x |f(x)=x3​ and g(x)=∣x∣

Specify the range for the relation. {( x , y ) | 2 x 2 = 8 y 3}

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.

If f ( x ) = −-− 7| x | + 8, find f (0), f ( −-− 4), f (2), f ( −-− 6).

The axis of symmetry for a parabola passes through the center of the parabola.

Graph the function. f(x)=−4∣x+5∣+3f ( x ) = - 4 | x + 5 | + 3f(x)=−4∣x+5∣+3

If f ( x ) = 3 x −-− 2 and g ( x ) = −-− 6 x + 3, find (f∘g)(8) and (g∘f)(8)( f \circ g ) ( 8 ) \text { and } ( g \circ f ) ( 8 )(f∘g)(8) and (g∘f)(8) . Match each expression with the corresponding answer. - −129- 129−129

Find f(a+h)−f(a)h\frac { f ( a + h ) - f ( a ) } { h }hf(a+h)−f(a)​ for f ( x ) = x 2 −-− 5 x + 2.

If f(x)=x+2 and g(x)=6x−6, f ( x ) = \sqrt { x + 2 } \text { and } g ( x ) = 6 x - 6 \text {, }f(x)=x+2​ and g(x)=6x−6, find (g∘f)(62)( g \circ f ) ( 62 )(g∘f)(62) .

Specify the domain of (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f ( x ) = 8 x and g ( x ) = 4 x −-− 9. Please enter your answer in interval notation.

Find the x intercepts of f(x)=3x2+20x−7f ( x ) = 3 x ^ { 2 } + 20 x - 7f(x)=3x2+20x−7 .

Specify the domain of (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f(x)=313x and g(x)=1x+3f ( x ) = \frac { 3 } { 13 x } \text { and } g ( x ) = \frac { 1 } { x + 3 }f(x)=13x3​ and g(x)=x+31​ . Please enter your answer in interval notation.

If y is inversely proportional to x , and y=130y = \frac { 1 } { 30 }y=301​ when x = 4, find the value of y when x = 16. Please enter your answer as a fraction.

The domain for (f∘g)(x)( f \circ g ) ( x )(f∘g)(x) is always the same as the domain for f .

Find the constant of variation for the stated condition: A varies jointly as b and h , and A = 135 when b = 24 and h = 9.

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f(x)=x and g(x)=3xf ( x ) = \sqrt { x } \text { and } g ( x ) = \frac { 3 } { x }f(x)=x​ and g(x)=x3​

If f(x)=x+6 and g(x)=3x−3f ( x ) = \sqrt { x + 6 } \text { and } g ( x ) = 3 x - 3f(x)=x+6​ and g(x)=3x−3 find (g∘f)(10)( g \circ f ) ( 10 )(g∘f)(10) .

Identify the graph of the function. f ( x ) = x 2 + 4 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

Specify the domain for the function. f ( x ) = 2 x $-$ 8

Graph the function. $f ( x ) = 4 x ^ { 3 } + 1$

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

Specify the range for the relation. {( x , y ) | 2 x ² = 8 y ³}

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

If f ( x ) = $-$ 7| x | + 8, find f (0), f ( $-$ 4), f (2), f ( $-$ 6).

Graph the function. $f ( x ) = - 4 | x + 5 | + 3$

If f ( x ) = 3 x $-$ 2 and g ( x ) = $-$ 6 x + 3, find $( f \circ g ) ( 8 ) \text { and } ( g \circ f ) ( 8 )$ . Match each expression with the corresponding answer. - $- 129$

Find $\frac { f ( a + h ) - f ( a ) } { h }$ for f ( x ) = x 2 $-$ 5 x + 2.

If $f ( x ) = \sqrt { x + 2 } \text { and } g ( x ) = 6 x - 6 \text {, }$ find $( g \circ f ) ( 62 )$ .

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 8 x and g ( x ) = 4 x $-$ 9. Please enter your answer in interval notation.

Find the x intercepts of $f ( x ) = 3 x ^ { 2 } + 20 x - 7$ .

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 3 } { 13 x } \text { and } g ( x ) = \frac { 1 } { x + 3 }$ . Please enter your answer in interval notation.

If y is inversely proportional to x , and $y = \frac { 1 } { 30 }$ when x = 4, find the value of y when x = 16. Please enter your answer as a fraction.

The domain for $( f \circ g ) ( x )$ is always the same as the domain for f .

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

If $f ( x ) = \sqrt { x + 6 } \text { and } g ( x ) = 3 x - 3$ find $( g \circ f ) ( 10 )$ .

Identify the graph of the function. f ( x ) = x ² + 4 x + 3