Question 1

Which equation does not represent y as a function of x ?

Accepted Answer

A)  $y = \sqrt { 6 + 3 x }$ 
B) y = |-2 + 7x2| 
C) x = -6y - 2 
D) x = -8 
E) y = -3x + 5 
A)  $y = \sqrt { 6 + 3 x }$ 
B) y = |-2 + 7x2| 
C) x = -6y - 2 
D) x = -8 
E) y = -3x + 5

Question 2

Find the zeros of the function algebraically. 
$f ( x ) = \frac { x } { 9 x ^ { 2 } - 5 }$

Accepted Answer

A) x = 5 
B) x = 10 
C) x = 9 
D) x = 8 
E) x = 0 
A) x = 5 
B) x = 10 
C) x = 9 
D) x = 8 
E) x = 0

Question 3

Assume the graph has the indicated type of symmetry.Sketch the complete graph.   symmetric with respect to the origin.

Accepted Answer

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

Question 4

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select the correct answer for the line.  
P(3, -7), m is undefined.

Accepted Answer

A)  $x = 3 y - 7$   
B)  $y = 3$   
C)  $x = - 7$   
D)  $x = 3$   
E)  $y = 3 x - 7$   
A)  $x = 3 y - 7$   
B)  $y = 3$   
C)  $x = - 7$   
D)  $x = 3$   
E)  $y = 3 x - 7$

Question 5

Find a mathematical model representing the statement.(Determine the constant of proportionality.)  
F is jointly proportional to r and the third power of s. $( F = 24750 \text { when } r = 18 \text { and } s = 5 . )$

Accepted Answer

A)  $F = \frac { 11 r } { s ^ { 3 } }$ 
B)  $F = \frac { r s ^ { 3 } } { 11 }$ 
C)  $F = 11 r s ^ { 3 }$ 
D)  $F = \frac { 11 } { r s ^ { 3 } }$ 
E)  $F = \frac { 11 s ^ { 3 } } { r }$ 
A)  $F = \frac { 11 r } { s ^ { 3 } }$ 
B)  $F = \frac { r s ^ { 3 } } { 11 }$ 
C)  $F = 11 r s ^ { 3 }$ 
D)  $F = \frac { 11 } { r s ^ { 3 } }$ 
E)  $F = \frac { 11 s ^ { 3 } } { r }$

Question 6

The number of people playing tennis T (in millions) in the United States from 2000 through 2007 can be approximated by the function 
 $T ( t ) = 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8$  
And the U.S.population P (in millions) from 2000 through 2007 can be approximated by the function $P ( t ) = 5.78 t + 221.5$ , where t represents the year, with t = 0 corresponding to 2000.
Find $h ( t ) = \frac { T ( t ) } { P ( t ) }$ .

Accepted Answer

A)  $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } - 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$ 
B)  $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$ 
C)  $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } - 6.556 t ^ { 2 } - 2.86 t - 26.8 } { 5.78 t - 221.5 }$ 
D)  $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t - 221.5 }$ 
E)  $h ( t ) = \frac { 0.0236 t ^ { 4 } + 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$ 
A)  $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } - 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$ 
B)  $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$ 
C)  $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } - 6.556 t ^ { 2 } - 2.86 t - 26.8 } { 5.78 t - 221.5 }$ 
D)  $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t - 221.5 }$ 
E)  $h ( t ) = \frac { 0.0236 t ^ { 4 } + 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$

Question 7

Select the graph of the function and determine whether it is even, odd, or neither. ​
F(x) = 6x - 5
​

Accepted Answer

A) ​   Even 
B) ​   Even 
C) ​   Odd 
D) ​   Neither 
E) ​   Odd 
A) ​   Even 
B) ​   Even 
C) ​   Odd 
D) ​   Neither 
E) ​   Odd

Question 8

Find the inverse function of f informally.  
F(x) = 6x

Accepted Answer

A) f-1(x) = 6 - x 
B) f-1(x) = 6 + x 
C)  $f ^ { - 1 } ( x ) = \frac { 1 } { 6 } x$ 
D) f-1(x) = x - 6 
E) f(x) = 6x 
A) f-1(x) = 6 - x 
B) f-1(x) = 6 + x 
C)  $f ^ { - 1 } ( x ) = \frac { 1 } { 6 } x$ 
D) f-1(x) = x - 6 
E) f(x) = 6x

Question 9

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

Accepted Answer

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

Question 10

From 2003 through 2008, the sales $R _ { 1 }$ (in thousands of dollars) for one of two restaurants owned by the same parent company can be modeled by 
 $R _ { 1 } = 480 - 6 t - 0.6 t ^ { 2 } , t = 3,4,5,6,7,8$

Where t = 3 represents 2003.During the same six-year period, the sales $R _ { 2 }$ (in thousands of dollars) for the second restaurant can be modeled by
  $R _ { 2 } = 259 + 0.77 t , t = 3,4,5,6,7,8$

Write a function $R _ { 3 }$ that represents the total sales of the two restaurants owned by the same parent company.

Accepted Answer

A)   $R _ { 3 } = 739 - 5.23 t ^ { 2 } - 0.6 t$ 
B)  $R _ { 3 } = 739 - 5.23 t + 0.6 t ^ { 2 }$ 
C)   $R _ { 3 } = 221 - 6.77 t ^ { 2 } - 0.6 t$ 
D)   $R _ { 3 } = 739 - 5.23 t ^ { 2 } + 0.6 t$ 
E)   $R _ { 3 } = 739 - 5.23 t - 0.6 t ^ { 2 }$ 
A)   $R _ { 3 } = 739 - 5.23 t ^ { 2 } - 0.6 t$ 
B)  $R _ { 3 } = 739 - 5.23 t + 0.6 t ^ { 2 }$ 
C)   $R _ { 3 } = 221 - 6.77 t ^ { 2 } - 0.6 t$ 
D)   $R _ { 3 } = 739 - 5.23 t ^ { 2 } + 0.6 t$ 
E)   $R _ { 3 } = 739 - 5.23 t - 0.6 t ^ { 2 }$

Question 11

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. 
 $$y = \sqrt { x - 2 }$$

Accepted Answer

A) x-intercept: (2, 0)y-intercept: noneNo symmetry    
B) x-intercept: (2, 0)y-intercept: noneNo symmetry   
C) x-intercept: (2, 0)y-intercept: (0, $$\sqrt { 2 }$$ )No symmetry   
D) x-intercept: (-2, 0)y-intercept: noneNo symmetry   
E) x-intercept: (-2, 0)y-intercept: noneNo symmetry    
A) x-intercept: (2, 0)y-intercept: noneNo symmetry    
B) x-intercept: (2, 0)y-intercept: noneNo symmetry   
C) x-intercept: (2, 0)y-intercept: (0, $$\sqrt { 2 }$$ )No symmetry   
D) x-intercept: (-2, 0)y-intercept: noneNo symmetry   
E) x-intercept: (-2, 0)y-intercept: noneNo symmetry

Question 12

Graph the given function. f(x) = (x - 3)2

Accepted Answer

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

Question 13

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is $\frac { 5 } { 100 }$ .Approximate the amount of vertical change in your position if you drive 400 feet.

Accepted Answer

A) 18 ft 
B) 21 ft 
C) 22 ft 
D) 19 ft 
E) 20 ft 
A) 18 ft 
B) 21 ft 
C) 22 ft 
D) 19 ft 
E) 20 ft

Question 14

Find the slope of the line passing through the pair of points.  
(8, -4), (1, -4)

Accepted Answer

A)    m = 0 
B)    m = - $\frac { 1 } { 8 }$ 
C)    m = $- \frac { 8 } { 9 }$ 
D)    m is undefined 
E)    m = $\frac { 1 } { 8 }$ 
A)    m = 0 
B)    m = - $\frac { 1 } { 8 }$ 
C)    m = $- \frac { 8 } { 9 }$ 
D)    m is undefined 
E)    m = $\frac { 1 } { 8 }$

Question 15

Select the correct graph, showing f and g are inverse functions.   $f ( x ) = \frac { x - 1 } { x + 8 } , g ( x ) = - \frac { 8 x + 1 } { x - 1 }$

Accepted Answer

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

Question 16

Evaluate  f(16) if $f ( x ) = \sqrt { x + 9 } + 1$ .

Accepted Answer

A)  f(16) = 5 
B)  f(16) = 7 
C)  f(16) = 4 
D)  f(16) = 8 
E)  f(16) = 6 
A)  f(16) = 5 
B)  f(16) = 7 
C)  f(16) = 4 
D)  f(16) = 8 
E)  f(16) = 6

Question 17

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is  
  $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$  
X-intercept: (-3, 0)
Y-intercept: (0, 8)

Accepted Answer

A)  $- 3 x + 8 y + 24 = 0$ 
B)  $8 x + 3 y + 24 = 0$ 
C)  $8 x - 3 y + 24 = 0$ 
D)  $8 x - 3 y - 24 = 0$ 
E)  $- 3 x + 8 y - 24 = 0$ 
A)  $- 3 x + 8 y + 24 = 0$ 
B)  $8 x + 3 y + 24 = 0$ 
C)  $8 x - 3 y + 24 = 0$ 
D)  $8 x - 3 y - 24 = 0$ 
E)  $- 3 x + 8 y - 24 = 0$

Question 18

Use the graph of $f ( x ) = x ^ { 3 }$ to write an equation for the function whose graph is shown.

Accepted Answer

A)  $y = ( x - 5 ) ^ { 3 } - 1$ 
B)  $y = ( x + 5 ) ^ { 3 } + 2$ 
C)  $y = ( x + 5 ) ^ { 3 } - 2$ 
D)  $y = ( x - 5 ) ^ { 3 } + 2$ 
E)  $y = ( x - 5 ) ^ { 3 } + 1$ 
A)  $y = ( x - 5 ) ^ { 3 } - 1$ 
B)  $y = ( x + 5 ) ^ { 3 } + 2$ 
C)  $y = ( x + 5 ) ^ { 3 } - 2$ 
D)  $y = ( x - 5 ) ^ { 3 } + 2$ 
E)  $y = ( x - 5 ) ^ { 3 } + 1$

Question 19

Property tax is based on the assessed value of a property.A house that has an assessed value of $200,000 has a property tax of $4,820.Find a mathematical model that gives the amount of property tax y in terms of the assessed value x of the property.Use the model to find the property tax on a house that has an assessed value of $230,000.(Round your answer to four decimal places.)

Accepted Answer

A)  $y = 0.0241 x ; \$ 230,000$ 
B)  $y = 0.0241 x ; \$ 5543$ 
C)  $y = 41.4938 x ; \$ 5543$ 
D)  $y = 41.4938 x ; \$ 9,543,568$ 
E)  $y = 0.0241 x ; \$ 9,543,568$ 
A)  $y = 0.0241 x ; \$ 230,000$ 
B)  $y = 0.0241 x ; \$ 5543$ 
C)  $y = 41.4938 x ; \$ 5543$ 
D)  $y = 41.4938 x ; \$ 9,543,568$ 
E)  $y = 0.0241 x ; \$ 9,543,568$

Question 20

Assume that y is directly proportional to x.Use the given x-value and y-value to find a linear model that relates y and x. 
 $x = 5 , y = 380$

Accepted Answer

A) y = 76x 
B) y = - 76x 
C) y = $\frac { 1 } { 76 }$ x 
D) y = - $\frac { 1 } { 76 }$ x 
E) y = - 380x 
A) y = 76x 
B) y = - 76x 
C) y = $\frac { 1 } { 76 }$ x 
D) y = - $\frac { 1 } { 76 }$ x 
E) y = - 380x

Which equation does not represent y as a function of x ?

Find the zeros of the function algebraically. $f ( x ) = \frac { x } { 9 x ^ { 2 } - 5 }$

Assume the graph has the indicated type of symmetry.Sketch the complete graph. symmetric with respect to the origin.

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select the correct answer for the line. P(3, -7), m is undefined.

Find a mathematical model representing the statement.(Determine the constant of proportionality.) F is jointly proportional to r and the third power of s. $( F = 24750 \text { when } r = 18 \text { and } s = 5 . )$

Select the graph of the function and determine whether it is even, odd, or neither. F(x) = 6x - 5

Find the inverse function of f informally. F(x) = 6x

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

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. $y = \sqrt { x - 2 }$

Graph the given function. f(x) = (x - 3)²

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is $\frac { 5 } { 100 }$ .Approximate the amount of vertical change in your position if you drive 400 feet.

Find the slope of the line passing through the pair of points. (8, -4), (1, -4)

Select the correct graph, showing f and g are inverse functions. $f ( x ) = \frac { x - 1 } { x + 8 } , g ( x ) = - \frac { 8 x + 1 } { x - 1 }$

Evaluate f(16) if $f ( x ) = \sqrt { x + 9 } + 1$ .

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$ X-intercept: (-3, 0) Y-intercept: (0, 8)

Use the graph of $f ( x ) = x ^ { 3 }$ to write an equation for the function whose graph is shown. $Use the graph of f ( x ) = x ^ { 3 } to write an equation for the function whose graph is shown.$

Assume that y is directly proportional to x.Use the given x-value and y-value to find a linear model that relates y and x. $x = 5 , y = 380$

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Exam 1: Functions and Their Graphs

Which equation does not represent y as a function of x ?

Find the zeros of the function algebraically. f(x)=x9x2−5f ( x ) = \frac { x } { 9 x ^ { 2 } - 5 }f(x)=9x2−5x​

Assume the graph has the indicated type of symmetry.Sketch the complete graph. symmetric with respect to the origin.

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select the correct answer for the line. P(3, -7), m is undefined.

Find a mathematical model representing the statement.(Determine the constant of proportionality.) F is jointly proportional to r and the third power of s. (F=24750 when r=18 and s=5.)( F = 24750 \text { when } r = 18 \text { and } s = 5 . )(F=24750 when r=18 and s=5.)

Select the graph of the function and determine whether it is even, odd, or neither. ​ F(x) = 6x - 5 ​

Find the inverse function of f informally. F(x) = 6x

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

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. y=x−2y = \sqrt { x - 2 }y=x−2​

Graph the given function. f(x) = (x - 3)2

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is 5100\frac { 5 } { 100 }1005​ .Approximate the amount of vertical change in your position if you drive 400 feet.

Find the slope of the line passing through the pair of points. (8, -4), (1, -4)

Select the correct graph, showing f and g are inverse functions. f(x)=x−1x+8,g(x)=−8x+1x−1f ( x ) = \frac { x - 1 } { x + 8 } , g ( x ) = - \frac { 8 x + 1 } { x - 1 }f(x)=x+8x−1​,g(x)=−x−18x+1​

Evaluate f(16) if f(x)=x+9+1f ( x ) = \sqrt { x + 9 } + 1f(x)=x+9​+1 .

Use the graph of f(x)=x3f ( x ) = x ^ { 3 }f(x)=x3 to write an equation for the function whose graph is shown.

Assume that y is directly proportional to x.Use the given x-value and y-value to find a linear model that relates y and x. x=5,y=380x = 5 , y = 380x=5,y=380

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Find the zeros of the function algebraically. $f ( x ) = \frac { x } { 9 x ^ { 2 } - 5 }$

Find a mathematical model representing the statement.(Determine the constant of proportionality.) F is jointly proportional to r and the third power of s. $( F = 24750 \text { when } r = 18 \text { and } s = 5 . )$

Select the graph of the function and determine whether it is even, odd, or neither. F(x) = 6x - 5

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

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. $y = \sqrt { x - 2 }$

Graph the given function. f(x) = (x - 3)²

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is $\frac { 5 } { 100 }$ .Approximate the amount of vertical change in your position if you drive 400 feet.

Select the correct graph, showing f and g are inverse functions. $f ( x ) = \frac { x - 1 } { x + 8 } , g ( x ) = - \frac { 8 x + 1 } { x - 1 }$

Evaluate f(16) if $f ( x ) = \sqrt { x + 9 } + 1$ .

Use the graph of $f ( x ) = x ^ { 3 }$ to write an equation for the function whose graph is shown. $Use the graph of f ( x ) = x ^ { 3 } to write an equation for the function whose graph is shown.$

Assume that y is directly proportional to x.Use the given x-value and y-value to find a linear model that relates y and x. $x = 5 , y = 380$