Question 1

Evaluate the function f(x) = [[3x + 1]] for x = 4. ​

Accepted Answer

A) f(x) = -4 
B) ​ f(x) = 4 
C) ​ f(x) = 11 
D) ​ f(x) = 13 
E) ​ f(x) = 12 
A) f(x) = -4 
B) ​ f(x) = 4 
C) ​ f(x) = 11 
D) ​ f(x) = 13 
E) ​ f(x) = 12

Question 2

Evaluate the following expression without using a calculator.(Round to the tenth decimal place). ​   ​

Accepted Answer

A) 1.0 × 10-4 ​ 
B) 1.0 × 10-5 
C) 1.0 × 1011 
D) 1.0 × 109 
E) 1.0 × 10-9 
A) 1.0 × 10-4 ​ 
B) 1.0 × 10-5 
C) 1.0 × 1011 
D) 1.0 × 109 
E) 1.0 × 10-9

Question 3

Select the graph of the function: f(x) = [[x + 3]]. ​
​

Accepted Answer

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

Question 4

Evaluate the function f(x) = 2[[x]] + 7 for x = -7. ​

Accepted Answer

A) ​ f(x) = -21 
B) ​ f(x) = 2 
C) ​ f(x) = -2 
D) ​ f(x) = -7 
E) ​ f(x) = 7 
A) ​ f(x) = -21 
B) ​ f(x) = 2 
C) ​ f(x) = -2 
D) ​ f(x) = -7 
E) ​ f(x) = 7

Question 5

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol () between them. -2, -3

Accepted Answer

A) -2 > -3 B) -2 < -3 A) -2 > -3 B) -2 < -3

Question 6

Find the y-intercept of the graph of the equation y = 3x + 18. ​

Accepted Answer

A) (0, 3) 
B) (18, 0) 
C) (-6, 0) 
D) (0, 18) 
E) (0, -6) 
A) (0, 3) 
B) (18, 0) 
C) (-6, 0) 
D) (0, 18) 
E) (0, -6)

Question 7

Write the standard form of the equation of the circle with the given characteristics. center: (-1, -5); radius: 6

Accepted Answer

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

Question 8

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. ​
(4, 3)
​

Accepted Answer

A) (-4, -3) 
B) (-4, 3) 
C) (4, 3) ​ 
D) ​(4, -3) ​ 
E) None of the above 
A) (-4, -3) 
B) (-4, 3) 
C) (4, 3) ​ 
D) ​(4, -3) ​ 
E) None of the above

Question 9

Graph the function and determine the interval(s) for which f (x) ≥ 0.

Accepted Answer

A)    
B)    
C)    
D) {-2} 
E)    
A)    
B)    
C)    
D) {-2} 
E)

Question 10

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 11

Is the interval bounded or unbounded? -6 < x < -1

Accepted Answer

A) bounded 
B) unbounded 
A) bounded 
B) unbounded

Question 12

Find the x- and y-intercepts of the graph of the equation y = 36 - 6x.

Accepted Answer

A) x-intercept: (6, 0) y-intercept: (0, -6) 
B) x-intercept: (36, 0) y-intercept: (0, 6) 
C) x-intercept: (-6, 0) y-intercept: (0, -36) 
D) x-intercept: (36, 0) y-intercept: (0, 36) 
E) x-intercept: (6, 0) y-intercept: (0, 36) 
A) x-intercept: (6, 0) y-intercept: (0, -6) 
B) x-intercept: (36, 0) y-intercept: (0, 6) 
C) x-intercept: (-6, 0) y-intercept: (0, -36) 
D) x-intercept: (36, 0) y-intercept: (0, 36) 
E) x-intercept: (6, 0) y-intercept: (0, 36)

Question 13

Sketch the subset on the real number line, and state whether the interval is bounded or unbounded. ​
(-∞, 3)
​

Accepted Answer

A)    The interval is unbounded. 
B)    The interval is unbounded. 
C)    The interval is unbounded. 
D)    The interval is bounded. 
E)    The interval is unbounded. 
A)    The interval is unbounded. 
B)    The interval is unbounded. 
C)    The interval is unbounded. 
D)    The interval is bounded. 
E)    The interval is unbounded.

Question 14

Find   . ​   ​

Accepted Answer

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

Question 15

Find the value of y that corresponds to x = -4 in the graph of the equation 2x + 3y = 13. ​

Accepted Answer

A) 9 
B) -7 
C) -9 
D) 21 
E) 7 
A) 9 
B) -7 
C) -9 
D) 21 
E) 7

Question 16

Select the correct graph for the given function. ​   ​

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. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E) No inverse 
A)    
B)    
C)    
D)    
E) No inverse

Question 18

Find all real values of x such that f(x) = 0. ​
F(x) = x3 - x2 - 9x + 9
​

Accepted Answer

A) x = 0, 3 
B) x = 1, -3 
C) x = 0, -3 
D) x = 1, 3 
E) x = 1, ±3 
A) x = 0, 3 
B) x = 1, -3 
C) x = 0, -3 
D) x = 1, 3 
E) x = 1, ±3

Question 19

The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by   where t is the time (in months), with t = 1 corresponding to January.Determine the months when sales exceed 7700 units at any time during the month.

Accepted Answer

A) April through August 
B) July through May 
C) June through August 
D) April through July 
E) May through July 
A) April through August 
B) July through May 
C) June through August 
D) April through July 
E) May through July

Question 20

Evaluate the function at the specified value of the independent variable and simplify. g(s) = 3s + 1
G(-18)

Accepted Answer

A) g(-18) = -55 
B) g(-18) = -54s + 3 
C) g(-18) = -18s - 1 
D) g(-18) = -18s + 1 
E) g(-18) = -53 
A) g(-18) = -55 
B) g(-18) = -54s + 3 
C) g(-18) = -18s - 1 
D) g(-18) = -18s + 1 
E) g(-18) = -53

Evaluate the function f(x) = [[3x + 1]] for x = 4.

Evaluate the following expression without using a calculator.(Round to the tenth decimal place).

Select the graph of the function: f(x) = [[x + 3]].

Evaluate the function f(x) = 2[[x]] + 7 for x = -7.

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them. -2, -3

Find the y-intercept of the graph of the equation y = 3x + 18.

Write the standard form of the equation of the circle with the given characteristics. center: (-1, -5); radius: 6

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. (4, 3)

Graph the function and determine the interval(s) for which f (x) ≥ 0.

Find and the domain of the composite function.

Is the interval bounded or unbounded? -6 < x < -1

Find the x- and y-intercepts of the graph of the equation y = 36 - 6x.

Sketch the subset on the real number line, and state whether the interval is bounded or unbounded. (-∞, 3)

Find .

Find the value of y that corresponds to x = -4 in the graph of the equation 2x + 3y = 13.

Select the correct graph for the given function.

Determine whether the function has an inverse function.If it does, find the inverse function.

Find all real values of x such that f(x) = 0. F(x) = x³ - x² - 9x + 9

The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by where t is the time (in months), with t = 1 corresponding to January.Determine the months when sales exceed 7700 units at any time during the month.

Evaluate the function at the specified value of the independent variable and simplify. g(s) = 3s + 1 G(-18)

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Evaluate the function f(x) = [[3x + 1]] for x = 4. ​

Evaluate the following expression without using a calculator.(Round to the tenth decimal place). ​ ​

Select the graph of the function: f(x) = [[x + 3]]. ​ ​

Evaluate the function f(x) = 2[[x]] + 7 for x = -7. ​

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them. -2, -3

Find the y-intercept of the graph of the equation y = 3x + 18. ​

Write the standard form of the equation of the circle with the given characteristics. center: (-1, -5); radius: 6

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. ​ (4, 3) ​

Graph the function and determine the interval(s) for which f (x) ≥ 0.

Find and the domain of the composite function. ​ ​

Is the interval bounded or unbounded? -6 < x < -1

Find the x- and y-intercepts of the graph of the equation y = 36 - 6x.

Sketch the subset on the real number line, and state whether the interval is bounded or unbounded. ​ (-∞, 3) ​

Find . ​ ​

Find the value of y that corresponds to x = -4 in the graph of the equation 2x + 3y = 13. ​

Select the correct graph for the given function. ​ ​

Determine whether the function has an inverse function.If it does, find the inverse function. ​ ​

Find all real values of x such that f(x) = 0. ​ F(x) = x3 - x2 - 9x + 9 ​

The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by where t is the time (in months), with t = 1 corresponding to January.Determine the months when sales exceed 7700 units at any time during the month.

Evaluate the function at the specified value of the independent variable and simplify. g(s) = 3s + 1 G(-18)

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Evaluate the function f(x) = [[3x + 1]] for x = 4.

Evaluate the following expression without using a calculator.(Round to the tenth decimal place).

Select the graph of the function: f(x) = [[x + 3]].

Evaluate the function f(x) = 2[[x]] + 7 for x = -7.

Find the y-intercept of the graph of the equation y = 3x + 18.

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. (4, 3)

Find and the domain of the composite function.

Sketch the subset on the real number line, and state whether the interval is bounded or unbounded. (-∞, 3)

Find .

Find the value of y that corresponds to x = -4 in the graph of the equation 2x + 3y = 13.

Select the correct graph for the given function.

Determine whether the function has an inverse function.If it does, find the inverse function.

Find all real values of x such that f(x) = 0. F(x) = x³ - x² - 9x + 9