Question 1

Give a verbal description of the subset of real numbers represented by the following inequality and sketch the subset on the real number line. ​
X ≤ 3
​

Accepted Answer

A) x ≤ 3 denotes the set of all real numbers less than or equal to 3.   
B) x ≤ 3 denotes the set of all real numbers greater than or equal to 3.   
C) x ≤ 3 denotes the set of all real numbers less than or equal to 3.   
D) x > 3 denotes the set of all real numbers greater than 3.   
E) x ≤ 3 denotes the set of all real numbers less than or equal to 3.   
A) x ≤ 3 denotes the set of all real numbers less than or equal to 3.   
B) x ≤ 3 denotes the set of all real numbers greater than or equal to 3.   
C) x ≤ 3 denotes the set of all real numbers less than or equal to 3.   
D) x > 3 denotes the set of all real numbers greater than 3.   
E) x ≤ 3 denotes the set of all real numbers less than or equal to 3.

Question 2

Determine whether the function is even, odd, or neither. ​
​   ​

Accepted Answer

A) neither 
B) even 
C) odd 
A) neither 
B) even 
C) odd

Question 3

Select the correct graph, showing f and g are inverse functions. ​   ​

Accepted Answer

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

Question 4

Graph the circle   . ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   ​
​
​ 
E) None of the above. 
A) ​   
B) ​   
C) ​   
D) ​   ​
​
​ 
E) None of the above.

Question 5

Tell whether the slope of the line is positive, negative, 0, or undefined.
Choose the correct letter for each question.
-zero slope

Accepted Answer

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

Question 6

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. ​
The line has a slope of m = -20.
​

Accepted Answer

A) Sales increasing 20 units/yr 
B) Sales decreasing 20 units/yr 
C) No change in sales 
D) None of the above 
A) Sales increasing 20 units/yr 
B) Sales decreasing 20 units/yr 
C) No change in sales 
D) None of the above

Question 7

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval [0, 2π). ​   ​

Accepted Answer

A) x = 1.624, 1.932, 5.776, 5.997 
B) ​x = 1.101, 2.118, 3.982, 5.104 
C) ​x = 1.571, 3.990, 4.712, 5.435 
D) ​x = 1.055, 3.785, 4.652, 5.721 
E) ​x = 1.484, 3.799, 4.626, 5.490 
A) x = 1.624, 1.932, 5.776, 5.997 
B) ​x = 1.101, 2.118, 3.982, 5.104 
C) ​x = 1.571, 3.990, 4.712, 5.435 
D) ​x = 1.055, 3.785, 4.652, 5.721 
E) ​x = 1.484, 3.799, 4.626, 5.490

Question 8

Evaluate f(-7) if f(x) = 12x - 8. ​

Accepted Answer

A) f(-7) = -89 
B) f(-7) = -91 
C) f(-7) = -88 
D) f(-7) = -92 
E) f(-7) = -90 
A) f(-7) = -89 
B) f(-7) = -91 
C) f(-7) = -88 
D) f(-7) = -92 
E) f(-7) = -90

Question 9

Find the inverse of the one-to-one function.
​
y = 6x
​
f -1(x) = __________

Accepted Answer

Question 10

Use the bar graph, which shows the receipts of the federal government (in billions of dollars) for selected years from 1996 through 2006.In this exercise you are given the expenditures of the federal government.Find the magnitude of the surplus or deficit for the year 2006. (Source: U.S.Office of Management and Budget)
​   Year
Receipts
Expenditures
|Receipts - Expenditures|
​2006
​
​2655.4
​
​

Accepted Answer

Question 11

Solve the multiple-angle equation.

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E)    
A) ​   
B) ​   
C) ​   
D) ​   
E)

Question 12

Let f (x) = 2x + 1, g(x) = 3x - 2.Find the function. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E) none of the above 
A)    
B)    
C)    
D)    
E) none of the above

Question 13

Perform the operation(s).(Write fractional answers in simplest form.) ​
​   ​

Accepted Answer

A) 4 
B)    
C) 10 
D)    
E)    
A) 4 
B)    
C) 10 
D)    
E)

Question 14

Use absolute value notation to describe the situation. ​
The temperature in Bismarck, North Dakota was 72°F at noon, then 33°F at midnight.What was the change in temperature over the 12-hour period?
​

Accepted Answer

A) |72°F - 33°F| ≥ 39°F 
B) |72°F - 33°F| = 39°F 
C) |72°F - 33°F| ≤ 39°F 
D) |72°F - 33°F|  39°F 
A) |72°F - 33°F| ≥ 39°F 
B) |72°F - 33°F| = 39°F 
C) |72°F - 33°F| ≤ 39°F 
D) |72°F - 33°F|  39°F

Question 15

Determine which numbers in the set are irrational numbers. 6.111...,   , 0,   ,   , -8.050550555..., -9π

Accepted Answer

A)    , 0,   ,   , -9π 
B) 6.111...,   ,   ,   , -8.050550555..., -9π 
C)    ,   , -8.050550555..., -9π 
D)    ,   , -9π 
E)    ,   ,   , -9π 
A)    , 0,   ,   , -9π 
B) 6.111...,   ,   ,   , -8.050550555..., -9π 
C)    ,   , -8.050550555..., -9π 
D)    ,   , -9π 
E)    ,   ,   , -9π

Question 16

Perform the operations and simplify.​ ​   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 17

Determine whether the function has an inverse function.If it does, find the inverse function. ​
G(x) = x7
​

Accepted Answer

A)    
B) g-1(x) = -7x 
C) ​   
D) g-1(x) = 7x 
E) The inverse exists, but none of the above 
A)    
B) g-1(x) = -7x 
C) ​   
D) g-1(x) = 7x 
E) The inverse exists, but none of the above

Question 18

Find   and the domain of the composite function. ​   ​

Accepted Answer

A)    Domain of   : all real numbers x 
B)    Domain of   : all real numbers x 
C)    Domain of   : all real numbers x 
D)    Domain of   : all real numbers x 
E)    Domain of   : all real numbers x 
A)    Domain of   : all real numbers x 
B)    Domain of   : all real numbers x 
C)    Domain of   : all real numbers x 
D)    Domain of   : all real numbers x 
E)    Domain of   : all real numbers x

Question 19

Use inequality notation to describe the set. s is at least -22 but less than -16

Accepted Answer

A) -22 ≤ s ≤ -16 
B) -22 ≤ s < -16 
C) -16 ≤ s < -22 
D) -16 < s ≤ -22 
E) -22 < s < -16 
A) -22 ≤ s ≤ -16 
B) -22 ≤ s < -16 
C) -16 ≤ s < -22 
D) -16 < s ≤ -22 
E) -22 < s < -16

Question 20

Estimate the slope of the line. ​   ​

Accepted Answer

A) 5.5 
B) 3.5 
C) 4.5 
D) 6.5 
E) Undefined 
A) 5.5 
B) 3.5 
C) 4.5 
D) 6.5 
E) Undefined

Give a verbal description of the subset of real numbers represented by the following inequality and sketch the subset on the real number line. X ≤ 3

Determine whether the function is even, odd, or neither.

Select the correct graph, showing f and g are inverse functions.

Graph the circle .

Tell whether the slope of the line is positive, negative, 0, or undefined. Choose the correct letter for each question. -zero slope

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. The line has a slope of m = -20.

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval [0, 2π).

Evaluate f(-7) if f(x) = 12x - 8.

Find the inverse of the one-to-one function. y = 6x f ^-1(x) = __________

Solve the multiple-angle equation.

Let f (x) = 2x + 1, g(x) = 3x - 2.Find the function.

Perform the operation(s).(Write fractional answers in simplest form.) $Perform the operation(s).(Write fractional answers in simplest form.) $

Use absolute value notation to describe the situation. The temperature in Bismarck, North Dakota was 72°F at noon, then 33°F at midnight.What was the change in temperature over the 12-hour period?

Determine which numbers in the set are irrational numbers. 6.111..., , 0, , , -8.050550555..., -9π

Perform the operations and simplify.

Determine whether the function has an inverse function.If it does, find the inverse function. G(x) = x⁷

Find and the domain of the composite function.

Use inequality notation to describe the set. s is at least -22 but less than -16

Estimate the slope of the line.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Give a verbal description of the subset of real numbers represented by the following inequality and sketch the subset on the real number line. ​ X ≤ 3 ​

Determine whether the function is even, odd, or neither. ​ ​ ​

Select the correct graph, showing f and g are inverse functions. ​ ​

Graph the circle . ​

Tell whether the slope of the line is positive, negative, 0, or undefined. Choose the correct letter for each question. -zero slope

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. ​ The line has a slope of m = -20. ​

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval [0, 2π). ​ ​

Evaluate f(-7) if f(x) = 12x - 8. ​

Find the inverse of the one-to-one function. ​ y = 6x ​ f -1(x) = __________

Solve the multiple-angle equation.

Let f (x) = 2x + 1, g(x) = 3x - 2.Find the function. ​ ​

Perform the operation(s).(Write fractional answers in simplest form.) ​ ​ ​

Use absolute value notation to describe the situation. ​ The temperature in Bismarck, North Dakota was 72°F at noon, then 33°F at midnight.What was the change in temperature over the 12-hour period? ​

Determine which numbers in the set are irrational numbers. 6.111..., , 0, , , -8.050550555..., -9π

Perform the operations and simplify.​ ​ ​

Determine whether the function has an inverse function.If it does, find the inverse function. ​ G(x) = x7 ​

Find and the domain of the composite function. ​ ​

Use inequality notation to describe the set. s is at least -22 but less than -16

Estimate the slope of the line. ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Give a verbal description of the subset of real numbers represented by the following inequality and sketch the subset on the real number line. X ≤ 3

Determine whether the function is even, odd, or neither.

Select the correct graph, showing f and g are inverse functions.

Graph the circle .

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. The line has a slope of m = -20.

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval [0, 2π).

Evaluate f(-7) if f(x) = 12x - 8.

Find the inverse of the one-to-one function. y = 6x f ^-1(x) = __________

Let f (x) = 2x + 1, g(x) = 3x - 2.Find the function.

Perform the operation(s).(Write fractional answers in simplest form.) $Perform the operation(s).(Write fractional answers in simplest form.) $

Use absolute value notation to describe the situation. The temperature in Bismarck, North Dakota was 72°F at noon, then 33°F at midnight.What was the change in temperature over the 12-hour period?

Perform the operations and simplify.

Determine whether the function has an inverse function.If it does, find the inverse function. G(x) = x⁷

Find and the domain of the composite function.

Estimate the slope of the line.