Question 1

Graph the function. $f ( x ) = 2 ( x - 1 ) ^ { 3 } - 6$

Accepted Answer

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

Question 2

If f ( x ) = $-$ x 2 $-$ 5 x + 6, find f (3), f ( $-$ 1), f (6), f ( $-$ 4).

Accepted Answer

A)  f (3) = 0, f ( $-$ 1) = 12, f (6) = 12, f ( $-$ 4) = 42 
B)  f (3) = 2, f ( $-$ 1) = 15, f (6) = 14, f ( $-$ 4) = 45 
C)  f (3) = 1, f ( $-$ 1) = 13, f (6) = 13, f ( $-$ 4) = 43 
D)  f (3) = 3, f ( $-$ 1) = 14, f (6) = 15, f ( $-$ 4) = 44 
A)  f (3) = 0, f ( $-$ 1) = 12, f (6) = 12, f ( $-$ 4) = 42 
B)  f (3) = 2, f ( $-$ 1) = 15, f (6) = 14, f ( $-$ 4) = 45 
C)  f (3) = 1, f ( $-$ 1) = 13, f (6) = 13, f ( $-$ 4) = 43 
D)  f (3) = 3, f ( $-$ 1) = 14, f (6) = 15, f ( $-$ 4) = 44

Question 3

The simple interest earned by a certain amount of money varies jointly as the rate of interest and the time (in years) that the money is invested. If the money is invested at 15% for 5 years, $600 is earned. How much is earned if the money is invested at 20% for 7 years?

Accepted Answer

A)  I = $1134 
B)  I = $1117 
C)  I = $1126 
D)  I = $1113 
E)  I = $1120 
A)  I = $1134 
B)  I = $1117 
C)  I = $1126 
D)  I = $1113 
E)  I = $1120

Question 4

Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 6 x 2 $-$ x + 5 and g ( x ) = $-$ x + 9.

Accepted Answer

A)  $-$ 7 x + 4 
B)  $-$ 6 x 2 + x + 4 
C)  6 x 2 $-$ x $-$ 4 
D)  $-$ 6 x 2 + 4 x 
A)  $-$ 7 x + 4 
B)  $-$ 6 x 2 + x + 4 
C)  6 x 2 $-$ x $-$ 4 
D)  $-$ 6 x 2 + 4 x

Question 5

Specify the domain for the following relation. Please enter your answer as the numbers, separated by commas. {(1, 2), (7, 8), (14, 10), (16, 18)}

Accepted Answer

The answer of Specify the domain for the following relation....

Question 6

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

Accepted Answer

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

Question 7

For each of the quadratic functions find its graph. Match each function with the corresponding graph.
-

Accepted Answer

A)  $f ( x ) = - 3 x ^ { 2 }$ 
B)  $f ( x ) = 4 x ^ { 2 }$ 
A)  $f ( x ) = - 3 x ^ { 2 }$ 
B)  $f ( x ) = 4 x ^ { 2 }$

Question 8

To find $( g \circ f ) ( x )$ the function g will be substituted into the function f .

Accepted Answer

A) True 
 B)False

Question 9

The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 64 feet per second is a function of the time and is given by the equation f ( x ) = 64 x $-$ 16 x 2 , where x represents the time. Find the highest point reached by the projectile. __________ feet

Accepted Answer

The answer of The height of a projectile fired vertically...

Question 10

Graph the function. $f ( x ) = 6 | x | + 4$

Accepted Answer

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

Question 11

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

Accepted Answer

A)  56 x - 61 
B)  56 x + 61 
C)  56 $-$ 3 x 
D)  56 x 
A)  56 x - 61 
B)  56 x + 61 
C)  56 $-$ 3 x 
D)  56 x

Question 12

Find the constant of variation for the stated condition: y varies directly as the cube of x , and y = 2,160 when x = $-$ 6.

Accepted Answer

To find the constant of variation for th

Question 13

Find the constant of variation for the stated condition: y varies inversely as x , and y = $-$ 66 when $x = \frac { 7 } { 6 }$ .

Accepted Answer

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

Question 14

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 3,717 cubic centimeters when the radius of the base is 13 centimeters and its altitude is 7 centimeters, find the volume of a cylinder that has a base of radius 117 centimeters. The altitude of the cylinder is 42 centimeters.

Accepted Answer

A)  V = 1,806,406 cm 3 
B)  V = 1,806,477 cm 3 
C)  V = 1,806,433 cm 3 
D)  V = 1,806,462 cm 3 
E)  V = 1,806,572 cm 3 
A)  V = 1,806,406 cm 3 
B)  V = 1,806,477 cm 3 
C)  V = 1,806,433 cm 3 
D)  V = 1,806,462 cm 3 
E)  V = 1,806,572 cm 3

Question 15

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

Accepted Answer

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

Question 16

The composite function is sometimes called the substitution of functions.

Accepted Answer

A) True 
 B)False

Question 17

Find the x intercepts of $f ( x ) = 2 x ^ { 2 } - 11 x - 21$ .

Accepted Answer

A)  $- \frac { 3 } { 2 }$ and 7 
B)  $- 21$ 
C)  $- \frac { 3 } { 2 }$ and $- 7$ 
D)  $- \frac { 2 } { 3 }$ and 7 
A)  $- \frac { 3 } { 2 }$ and 7 
B)  $- 21$ 
C)  $- \frac { 3 } { 2 }$ and $- 7$ 
D)  $- \frac { 2 } { 3 }$ and 7

Question 18

Identify the graph of the function. f ( x ) = -5 x

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

The domain of the function $f ( x ) = \sqrt { x + 5 }$ is all real numbers greater than or equal to zero.

Accepted Answer

A) True 
 B)False

Graph the function. $f ( x ) = 2 ( x - 1 ) ^ { 3 } - 6$

If f ( x ) = $-$ x 2 $-$ 5 x + 6, find f (3), f ( $-$ 1), f (6), f ( $-$ 4).

The simple interest earned by a certain amount of money varies jointly as the rate of interest and the time (in years) that the money is invested. If the money is invested at 15% for 5 years, $600 is earned. How much is earned if the money is invested at 20% for 7 years?

Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 6 x 2 $-$ x + 5 and g ( x ) = $-$ x + 9.

Specify the domain for the following relation. Please enter your answer as the numbers, separated by commas. {(1, 2), (7, 8), (14, 10), (16, 18)}

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

For each of the quadratic functions find its graph. Match each function with the corresponding graph. -

To find $( g \circ f ) ( x )$ the function g will be substituted into the function f .

Graph the function. $f ( x ) = 6 | x | + 4$

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

Find the constant of variation for the stated condition: y varies directly as the cube of x , and y = 2,160 when x = $-$ 6.

Find the constant of variation for the stated condition: y varies inversely as x , and y = $-$ 66 when $x = \frac { 7 } { 6 }$ .

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

The composite function is sometimes called the substitution of functions.

Find the x intercepts of $f ( x ) = 2 x ^ { 2 } - 11 x - 21$ .

Identify the graph of the function. f ( x ) = -5 x

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

The domain of the function $f ( x ) = \sqrt { x + 5 }$ is all real numbers greater than or equal to zero.

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

Graph the function. f(x)=2(x−1)3−6f ( x ) = 2 ( x - 1 ) ^ { 3 } - 6f(x)=2(x−1)3−6

If f ( x ) = −-− x 2 −-− 5 x + 6, find f (3), f ( −-− 1), f (6), f ( −-− 4).

The simple interest earned by a certain amount of money varies jointly as the rate of interest and the time (in years) that the money is invested. If the money is invested at 15% for 5 years, $600 is earned. How much is earned if the money is invested at 20% for 7 years?

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f ( x ) = 6 x 2 −-− x + 5 and g ( x ) = −-− x + 9.

Specify the domain for the following relation. Please enter your answer as the numbers, separated by commas. {(1, 2), (7, 8), (14, 10), (16, 18)}

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

For each of the quadratic functions find its graph. Match each function with the corresponding graph. -

To find (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) the function g will be substituted into the function f .

Graph the function. f(x)=6∣x∣+4f ( x ) = 6 | x | + 4f(x)=6∣x∣+4

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

Find the constant of variation for the stated condition: y varies directly as the cube of x , and y = 2,160 when x = −-− 6.

Find the constant of variation for the stated condition: y varies inversely as x , and y = −-− 66 when x=76x = \frac { 7 } { 6 }x=67​ .

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

The composite function is sometimes called the substitution of functions.

Find the x intercepts of f(x)=2x2−11x−21f ( x ) = 2 x ^ { 2 } - 11 x - 21f(x)=2x2−11x−21 .

Identify the graph of the function. f ( x ) = -5 x

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

The domain of the function f(x)=x+5f ( x ) = \sqrt { x + 5 }f(x)=x+5​ is all real numbers greater than or equal to zero.

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

Graph the function. $f ( x ) = 2 ( x - 1 ) ^ { 3 } - 6$

If f ( x ) = $-$ x 2 $-$ 5 x + 6, find f (3), f ( $-$ 1), f (6), f ( $-$ 4).

Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 6 x 2 $-$ x + 5 and g ( x ) = $-$ x + 9.

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

To find $( g \circ f ) ( x )$ the function g will be substituted into the function f .

Graph the function. $f ( x ) = 6 | x | + 4$

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

Find the constant of variation for the stated condition: y varies directly as the cube of x , and y = 2,160 when x = $-$ 6.

Find the constant of variation for the stated condition: y varies inversely as x , and y = $-$ 66 when $x = \frac { 7 } { 6 }$ .

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

Find the x intercepts of $f ( x ) = 2 x ^ { 2 } - 11 x - 21$ .

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

The domain of the function $f ( x ) = \sqrt { x + 5 }$ is all real numbers greater than or equal to zero.