Question 1

Suppose that f is a function whose domain is the interval 
   , with f(x) = x2 + 2x + 6. Find a formula for f -1.

Accepted Answer

Question 2

Suppose the weekend rental of a car is $144 plus $5 per 100 miles driven. 
A) What is the total cost of rental for a weekend when 300 miles are driven?
B) Find the linear function c such that c(d) is the cost in dollars of a weekend rental in which d miles are driven.
C). If you have only $159 to spend on a weekend rental, what is the maximum number of miles you can afford to drive?

Accepted Answer

A) $159
B)

Question 3

Find a formula for (f    g)(x) assuming that f and g are the indicated functions.   and   .

Accepted Answer

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

Question 4

Find the vertex of the graph of the function 
   
 .

Accepted Answer

The answer of Find the vertex of the graph of...

Question 5

Find the slope of the line that contains the points (-3, 3) and (-1, 7).

Accepted Answer

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

Question 6

Identify the conic section as a parabola, ellipse, circle, or hyperbola.
The set of all points equidistant from the point (13, -18) and from the line x = -13

Accepted Answer

The answer of Identify the conic section as a parabola,...

Question 7

Find the equation of the line with slope 8 that contains the point (1, 16).

Accepted Answer

A)  y = 8x + 8 
B)  y = 8x - 8 
C)  y = x + 8 
D)  y = -8x + 8 
A)  y = 8x + 8 
B)  y = 8x - 8 
C)  y = x + 8 
D)  y = -8x + 8

Question 8

Find the center and radius of the circle with equation (x - 3)2 + (y + 6)2 = 81.

Accepted Answer

A)  center = (3, -6), r = 81 
B)  center = (3, -6), r = 9 
C)  center = (-3, 6), r = 9 
D)  center = (-3, 6), r = 81 
A)  center = (3, -6), r = 81 
B)  center = (3, -6), r = 9 
C)  center = (-3, 6), r = 9 
D)  center = (-3, 6), r = 81

Question 9

Evaluate the indicated quantity.(-512)5/3

Accepted Answer

A)  32,768 
B)  -32,768 
C)  512 
D)  Undefined 
A)  32,768 
B)  -32,768 
C)  512 
D)  Undefined

Question 10

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.
50x2 - 31y2 = 29

Accepted Answer

Question 11

If x and y are irrational numbers, then x + y may be a rational number.

Accepted Answer

A) True 
 B)False

Question 12

What is the range of s, where s is defined by 
   ?

Accepted Answer

The answer of What is the range of s, where...

Question 13

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.
x2 - y = -6

Accepted Answer

Question 14

Simplify the given expression.

Accepted Answer

The answer of Simplify the given expression.
  ...

Question 15

Suppose 
    . Write the expression   as a ratio, with the numerator and denominator each written as a sum of terms of the form cxm.

Accepted Answer

Question 16

Find a number t such that the line in the xy-plane containing the points (6, t) and (30, 6) is perpendicular to the line containing the points (6, 2) and (7, 6).

Accepted Answer

The answer of Find a number t such that the...

Question 17

Simplify the given expression by writing it as a power of a single variable.

Accepted Answer

The answer of Simplify the given expression by writing it...

Question 18

Find the vertex of the graph of the function f(x) = (3x - 7)2 + 6.

Accepted Answer

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

Question 19

Which of the following points belongs to the line that connects the points (0, 2) and (2, 6)?

Accepted Answer

A)  (0, 1) 
B)  (-1, 1) 
C)  (1, 4) 
D)  (-1, 2) 
A)  (0, 1) 
B)  (-1, 1) 
C)  (1, 4) 
D)  (-1, 2)

Question 20

Find the distance between the points (13, 6) and (37, 13).

Accepted Answer

The answer of Find the distance between the points (13,...

Suppose that f is a function whose domain is the interval , with f(x) = x² + 2x + 6. Find a formula for f^-1.

Find a formula for (f g)(x) assuming that f and g are the indicated functions. and .

Find the vertex of the graph of the function .

Find the slope of the line that contains the points (-3, 3) and (-1, 7).

Identify the conic section as a parabola, ellipse, circle, or hyperbola. The set of all points equidistant from the point (13, -18) and from the line x = -13

Find the equation of the line with slope 8 that contains the point (1, 16).

Find the center and radius of the circle with equation (x - 3)² + (y + 6)² = 81.

Evaluate the indicated quantity.(-512)^5/3

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. 50x² - 31y² = 29

If x and y are irrational numbers, then x + y may be a rational number.

What is the range of s, where s is defined by ?

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. x² - y = -6

Simplify the given expression.

Suppose . Write the expression as a ratio, with the numerator and denominator each written as a sum of terms of the form cx^m.

Find a number t such that the line in the xy-plane containing the points (6, t) and (30, 6) is perpendicular to the line containing the points (6, 2) and (7, 6).

Simplify the given expression by writing it as a power of a single variable.

Find the vertex of the graph of the function f(x) = (3x - 7)² + 6.

Which of the following points belongs to the line that connects the points (0, 2) and (2, 6)?

Find the distance between the points (13, 6) and (37, 13).

The Real Numbers

Functions and Their Graphs

Exponential Functions, Logarithms, and E

Trigonometric Functions

Trigonometric Algebra and Geometry

Sequences, Series, and Limits

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Exam 3: Linear, Quadratic, Polynomial, and Rational Functions

Suppose that f is a function whose domain is the interval , with f(x) = x2 + 2x + 6. Find a formula for f -1.

Find a formula for (f g)(x) assuming that f and g are the indicated functions. and .

Find the vertex of the graph of the function .

Find the slope of the line that contains the points (-3, 3) and (-1, 7).

Identify the conic section as a parabola, ellipse, circle, or hyperbola. The set of all points equidistant from the point (13, -18) and from the line x = -13

Find the equation of the line with slope 8 that contains the point (1, 16).

Find the center and radius of the circle with equation (x - 3)2 + (y + 6)2 = 81.

Evaluate the indicated quantity.(-512)5/3

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. 50x2 - 31y2 = 29

If x and y are irrational numbers, then x + y may be a rational number.

What is the range of s, where s is defined by ?

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. x2 - y = -6

Simplify the given expression.

Suppose . Write the expression as a ratio, with the numerator and denominator each written as a sum of terms of the form cxm.

Find a number t such that the line in the xy-plane containing the points (6, t) and (30, 6) is perpendicular to the line containing the points (6, 2) and (7, 6).

Simplify the given expression by writing it as a power of a single variable.

Find the vertex of the graph of the function f(x) = (3x - 7)2 + 6.

Which of the following points belongs to the line that connects the points (0, 2) and (2, 6)?

Find the distance between the points (13, 6) and (37, 13).

The Real Numbers

Functions and Their Graphs

Exponential Functions, Logarithms, and E

Trigonometric Functions

Trigonometric Algebra and Geometry

Sequences, Series, and Limits

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Suppose that f is a function whose domain is the interval , with f(x) = x² + 2x + 6. Find a formula for f^-1.

Find the center and radius of the circle with equation (x - 3)² + (y + 6)² = 81.

Evaluate the indicated quantity.(-512)^5/3

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. 50x² - 31y² = 29

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. x² - y = -6

Suppose . Write the expression as a ratio, with the numerator and denominator each written as a sum of terms of the form cx^m.

Find the vertex of the graph of the function f(x) = (3x - 7)² + 6.