Question 1

Using the grid provided, sketch the graph of the given function in the interval (-5, 5) and then determine the x-intercepts, if any.

Accepted Answer

A) (-3,0) and (1,0) 
B) (-2,0) 
C) (-2,0) and (2,0) 
D) no x-intercepts 
E) (-4,0), (0,0), and (4,0) 
A) (-3,0) and (1,0) 
B) (-2,0) 
C) (-2,0) and (2,0) 
D) no x-intercepts 
E) (-4,0), (0,0), and (4,0)

Question 2

Find the average rate of change of the function from x1 = 1 to x2 = 3. ​   ​

Accepted Answer

A) The average rate of change from x1 = 1 to x2 = 3 is 19. 
B) The average rate of change from x1 = 1 to x2 = 3 is -20. 
C) The average rate of change from x1 = 1 to x2 = 3 is 8. 
D) The average rate of change from x1 = 1 to x2 = 3 is -14. 
E) The average rate of change from x1 = 1 to x2 = 3 is 14. 
A) The average rate of change from x1 = 1 to x2 = 3 is 19. 
B) The average rate of change from x1 = 1 to x2 = 3 is -20. 
C) The average rate of change from x1 = 1 to x2 = 3 is 8. 
D) The average rate of change from x1 = 1 to x2 = 3 is -14. 
E) The average rate of change from x1 = 1 to x2 = 3 is 14.

Question 3

Use the graph of   to write an equation for the function whose graph is shown.

Accepted Answer

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

Question 4

Evaluate the function for the indicated values. f (x) = 5[[x + 3]] - 5
(i) f (3) (ii) f (-63.30) (iii) f (   )
​

Accepted Answer

A) (i) 25 (ii) -305 (iii) 15 
B) ​(i) 25 (ii) -305 (iii) 10 
C) ​(i) 26 (ii) -310 (iii) 15 
D) ​(i) 26 (ii) -310 (iii) 10 
E) ​(i) 25 (ii) -310 (iii) 10 
A) (i) 25 (ii) -305 (iii) 15 
B) ​(i) 25 (ii) -305 (iii) 10 
C) ​(i) 26 (ii) -310 (iii) 15 
D) ​(i) 26 (ii) -310 (iii) 10 
E) ​(i) 25 (ii) -310 (iii) 10

Question 5

Determine the intervals over which the function is increasing, decreasing, or constant.

Accepted Answer

A) ​constant on (-∞, 0) increasing on (0, ∞)
​ 
B) increasing on (-∞, 0), (1, ∞) descreasing on (0, 1) 
C) ​​constant on (-∞, 1) increasing on (1, ∞)
​ 
D) ​constant on (-∞, 1) descreasing on (1, ∞)
​ 
E) ​constant on (-∞, 0) descreasing on (0, 1)
​ 
A) ​constant on (-∞, 0) increasing on (0, ∞)
​ 
B) increasing on (-∞, 0), (1, ∞) descreasing on (0, 1) 
C) ​​constant on (-∞, 1) increasing on (1, ∞)
​ 
D) ​constant on (-∞, 1) descreasing on (1, ∞)
​ 
E) ​constant on (-∞, 0) descreasing on (0, 1)
​

Question 6

Find the domain of the function.

Accepted Answer

A) -9 ≤ p ≤ 9 
B) p ≤ -9 or p ≥ 9 
C) p ≥ 0 
D) p ≤ 9 
E) all real numbers 
A) -9 ≤ p ≤ 9 
B) p ≤ -9 or p ≥ 9 
C) p ≥ 0 
D) p ≤ 9 
E) all real numbers

Question 7

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ​
P(4,   ), m = 0
​

Accepted Answer

A)      ​ 
B) y = 4x +     
C) y =   ​  
​ 
D) x = 4y +     
E)      
A)      ​ 
B) y = 4x +     
C) y =   ​  
​ 
D) x = 4y +     
E)

Question 8

Use a calculator to approximate the number.(Round your answer to three decimal places.)   ​

Accepted Answer

A) 2.828 
B) 256.000 
C) 8.000 
D) 16.000 
E) 68.000 
A) 2.828 
B) 256.000 
C) 8.000 
D) 16.000 
E) 68.000

Question 9

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. ​   ​

Accepted Answer

A) x- intercept: (   , 0) y- intercept: (0, ±6)
No symmetry   
B) x- intercept: (   , 0) y- intercept: (0, -6)
No symmetry
​   
C) x- intercept: (   , 0) y- intercept: (0, 6)
No symmetry   
D) x- intercept: (   , 0) y- intercept: (0, 6)
No symmetry
​   
E) x- intercept: (   , 0) y- intercept: (0, ±6)
No symmetry  
​ 
A) x- intercept: (   , 0) y- intercept: (0, ±6)
No symmetry   
B) x- intercept: (   , 0) y- intercept: (0, -6)
No symmetry
​   
C) x- intercept: (   , 0) y- intercept: (0, 6)
No symmetry   
D) x- intercept: (   , 0) y- intercept: (0, 6)
No symmetry
​   
E) x- intercept: (   , 0) y- intercept: (0, ±6)
No symmetry  
​

Question 10

Does the function have an inverse function? ​   ​

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 11

Select the graph of the function. ​   ​

Accepted Answer

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

Question 12

Simplify the expression.   ​

Accepted Answer

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

Question 13

Select the graph of the function and find the zeros of the function. ​   ​

Accepted Answer

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

Question 14

Graphically estimate the x- and y-intercepts of the graph. ​   ​   ​

Accepted Answer

A) x-intercept: (0, 1) y-intercept: (0, 3) 
B) x-intercept: (1, 0) y-intercept: (3, 0) 
C) x-intercept: (0, 1) y-intercept: (3, 0) 
D) x-intercept: (1, 0) y-intercept: (0, 3) 
E) x-intercept: (1, 0) y-intercept: (0, -3) 
A) x-intercept: (0, 1) y-intercept: (0, 3) 
B) x-intercept: (1, 0) y-intercept: (3, 0) 
C) x-intercept: (0, 1) y-intercept: (3, 0) 
D) x-intercept: (1, 0) y-intercept: (0, 3) 
E) x-intercept: (1, 0) y-intercept: (0, -3)

Question 15

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. ​   ​

Accepted Answer

A) x-intercept: (2, 0) y-intercept: none
No symmetry
​   
B) x-intercept: (2, 0) y-intercept: none
No symmetry​   
C) x-intercept: (2, 0) y-intercept: (0,   )
No symmetry   ​ 
D) x-intercept: (-2, 0) y-intercept: none
No symmetry
​   ​ 
E) x-intercept: (-2, 0) y-intercept: none
No symmetry
​   
A) x-intercept: (2, 0) y-intercept: none
No symmetry
​   
B) x-intercept: (2, 0) y-intercept: none
No symmetry​   
C) x-intercept: (2, 0) y-intercept: (0,   )
No symmetry   ​ 
D) x-intercept: (-2, 0) y-intercept: none
No symmetry
​   ​ 
E) x-intercept: (-2, 0) y-intercept: none
No symmetry
​

Question 16

Find   . ​   ​

Accepted Answer

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

Question 17

Find the value(s) of x for which f (x) = g (x). f(x) = x2 + x - 13 g(x) = -5x + 3

Accepted Answer

A) x= -8, 2 
B) x= 8, -2 
C) x= -13, 1,   
D) x= -13, -14,   
E) x= 12,   
A) x= -8, 2 
B) x= 8, -2 
C) x= -13, 1,   
D) x= -13, -14,   
E) x= 12,

Question 18

The number N of bacteria in a refrigerated food is given by   where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by   where t is the time in hours. Find the bacteria count after 0.5 hour.
​

Accepted Answer

A) About 565 bacteria 
B) About 793 bacteria 
C) About 653 bacteria 
D) About 390 bacteria 
E) About 705 bacteria 
A) About 565 bacteria 
B) About 793 bacteria 
C) About 653 bacteria 
D) About 390 bacteria 
E) About 705 bacteria

Question 19

Graph the function. ​   ​

Accepted Answer

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

Question 20

Evaluate the expression. ​
|4 - 10|
​

Accepted Answer

A) 20 
B) 6 
C) -8 
D) 14 
E) -6 
A) 20 
B) 6 
C) -8 
D) 14 
E) -6

Using the grid provided, sketch the graph of the given function in the interval (-5, 5) and then determine the x-intercepts, if any.

Find the average rate of change of the function from x₁ = 1 to x₂ = 3.

Use the graph of to write an equation for the function whose graph is shown.

Evaluate the function for the indicated values. f (x) = 5[[x + 3]] - 5 (i) f (3) (ii) f (-63.30) (iii) f ( )

Determine the intervals over which the function is increasing, decreasing, or constant.

Find the domain of the function.

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. P(4, ), m = 0

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.

Does the function have an inverse function?

Select the graph of the function.

Simplify the expression.

Select the graph of the function and find the zeros of the function.

Graphically estimate the x- and y-intercepts of the graph.

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.

Find .

Find the value(s) of x for which f (x) = g (x). f(x) = x² + x - 13 g(x) = -5x + 3

The number N of bacteria in a refrigerated food is given by where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by where t is the time in hours. Find the bacteria count after 0.5 hour.

Graph the function.

Evaluate the expression. |4 - 10|

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

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Exam 7: Prerequisites

Using the grid provided, sketch the graph of the given function in the interval (-5, 5) and then determine the x-intercepts, if any.

Find the average rate of change of the function from x1 = 1 to x2 = 3. ​ ​

Use the graph of to write an equation for the function whose graph is shown.

Evaluate the function for the indicated values. f (x) = 5[[x + 3]] - 5 (i) f (3) (ii) f (-63.30) (iii) f ( ) ​

Determine the intervals over which the function is increasing, decreasing, or constant.

Find the domain of the function.

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ​ P(4, ), m = 0 ​

Use a calculator to approximate the number.(Round your answer to three decimal places.) ​

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. ​ ​

Does the function have an inverse function? ​ ​

Select the graph of the function. ​ ​

Simplify the expression. ​

Select the graph of the function and find the zeros of the function. ​ ​

Graphically estimate the x- and y-intercepts of the graph. ​ ​ ​

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. ​ ​

Find . ​ ​

Find the value(s) of x for which f (x) = g (x). f(x) = x2 + x - 13 g(x) = -5x + 3

The number N of bacteria in a refrigerated food is given by where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by where t is the time in hours. Find the bacteria count after 0.5 hour. ​

Graph the function. ​ ​

Evaluate the expression. ​ |4 - 10| ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Find the average rate of change of the function from x₁ = 1 to x₂ = 3.

Evaluate the function for the indicated values. f (x) = 5[[x + 3]] - 5 (i) f (3) (ii) f (-63.30) (iii) f ( )

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. P(4, ), m = 0

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.

Does the function have an inverse function?

Select the graph of the function.

Simplify the expression.

Select the graph of the function and find the zeros of the function.

Graphically estimate the x- and y-intercepts of the graph.

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.

Find .

Find the value(s) of x for which f (x) = g (x). f(x) = x² + x - 13 g(x) = -5x + 3

The number N of bacteria in a refrigerated food is given by where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by where t is the time in hours. Find the bacteria count after 0.5 hour.

Graph the function.

Evaluate the expression. |4 - 10|