Question 1

Use the given graph of f to select the graph for the following function.   $$y = f ( - x )$$

Accepted Answer

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

Question 2

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

Accepted Answer

A)  $y = 4 | x | - 4$ 
B)  $y = - 4 | x | - 4$ 
C)  $y = - 4 \| x \| - 4$ 
D)  $y = 4 | x | + 4$ 
E)  $y = - 4 | x | + 4$ 
A)  $y = 4 | x | - 4$ 
B)  $y = - 4 | x | - 4$ 
C)  $y = - 4 \| x \| - 4$ 
D)  $y = 4 | x | + 4$ 
E)  $y = - 4 | x | + 4$

Question 3

Graph the function and determine the interval(s) for which f (x) $\ge$0. $$f ( x ) = - x ^ { 2 } - 2 x$$

Accepted Answer

A)  $( - \infty , - 2 ) \cup ( 0 , \infty )$ 
B)  $( - 2,0 )$ 
C)  $[ - 2,0 ]$ 
D) {-2} 
E)  $( - \infty , - 2 ] \cup [ 0 , \infty )$ 
A)  $( - \infty , - 2 ) \cup ( 0 , \infty )$ 
B)  $( - 2,0 )$ 
C)  $[ - 2,0 ]$ 
D) {-2} 
E)  $( - \infty , - 2 ] \cup [ 0 , \infty )$

Question 4

Determine whether the function is even, odd, or neither.  
   $f ( x ) = 6 x ^ { 3 / 4 }$

Accepted Answer

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

Question 5

Use the graph of $f ( x ) = x ^ { 2 }$ to write an equation for the function whose graph is shown.

Accepted Answer

A)  $y = - ( x - 4 ) ^ { 2 } + 3$ 
B)  $y = - ( x - 4 ) ^ { 2 } - 3$ 
C)  $y = ( x + 4 ) ^ { 2 } + 3$ 
D)  $y = ( x - 4 ) ^ { 2 } + 3$ 
E)  $y = - ( x + 4 ) ^ { 2 } + 3$ 
A)  $y = - ( x - 4 ) ^ { 2 } + 3$ 
B)  $y = - ( x - 4 ) ^ { 2 } - 3$ 
C)  $y = ( x + 4 ) ^ { 2 } + 3$ 
D)  $y = ( x - 4 ) ^ { 2 } + 3$ 
E)  $y = - ( x + 4 ) ^ { 2 } + 3$

Question 6

Show algebraically that f and g are inverse functions.
f(x) = 9x + 9 $g ( x ) = \frac { x - 9 } { 9 }$

Accepted Answer

The answer of Show algebraically that f and g are...

Question 7

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.   $x + 3 = 0$

Accepted Answer

A)    m = -3y-intercept: (0,2) 
B)    m is undefined.There is no y-intercept. 
C)     m = -2y-intercept: (0,3) 
D)     m is undefined.There is no y-intercept. 
E)     m is undefined.There is no y-intercept. 
A)    m = -3y-intercept: (0,2) 
B)    m is undefined.There is no y-intercept. 
C)     m = -2y-intercept: (0,3) 
D)     m is undefined.There is no y-intercept. 
E)     m is undefined.There is no y-intercept.

Question 8

​Find the distance between the points.Round to the nearest hundredth, if necessary. ​
(-8, -8), (-1, 9)
​

Accepted Answer

A) ​19.24 
B) ​7.07 
C) ​18.38 
D) ​10 
E) ​9.06 
A) ​19.24 
B) ​7.07 
C) ​18.38 
D) ​10 
E) ​9.06

Question 9

Evaluate f(7) if f(x) = 4x - 1. ​

Accepted Answer

A) f(7) = 27 
B) f(7) = 26 
C) f(7) = 29 
D) f(7) = 25 
E) f(7) = 28 
A) f(7) = 27 
B) f(7) = 26 
C) f(7) = 29 
D) f(7) = 25 
E) f(7) = 28

Question 10

Find the slope of the line. ​
Y = 9x + 25
​

Accepted Answer

A) m = -9 
B) m = 10 
C) m = 13 
D) m = 9 
E) m = 6 
A) m = -9 
B) m = 10 
C) m = 13 
D) m = 9 
E) m = 6

Question 11

Tell where the function is decreasing.

Accepted Answer

A)  $( 3 , \infty )$ 
B)  $( - \infty , 3 )$ 
C) always increasing 
D) always constant 
E) always decreasing 
A)  $( 3 , \infty )$ 
B)  $( - \infty , 3 )$ 
C) always increasing 
D) always constant 
E) always decreasing

Question 12

A hospital purchases a new magnetic resonance imaging (MRI) machine for $600,000.The depreciated value y (reduced value)after t years is given by y = 600,000 - 20,000t, 0 ≤ t ≤ 6.Sketch the graph of the equation. ​

Accepted Answer

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

Question 13

Write the standard form of the equation of the circle tangent to the y-axis and with center (-3, -6).

Accepted Answer

A)   $( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$ 
B)  $( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 3$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$ 
D)  $( x + 3 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 3$ 
E)  $( x + 3 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 9$ 
A)   $( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$ 
B)  $( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 3$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$ 
D)  $( x + 3 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 3$ 
E)  $( x + 3 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 9$

Question 14

Select the correct graph of the given function. 
 $f ( x ) = | x | - 2$

Accepted Answer

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

Question 15

Select the graph of the given function and determine the interval(s) for which f(x)$\ge$ 0. 
 $f ( x ) = - ( 6 + | x | )$

Accepted Answer

A)      f(x) > 6 for all x. 
B)      f(x)  0 for all x. 
A)      f(x) > 6 for all x. 
B)      f(x)  0 for all x.

Question 16

A sub shop purchases a used pizza oven for $885.After 5 years, the oven will have to be replaced.Select the linear equation giving the value V of the equipment during the 5 years it will be in use.

Accepted Answer

A)  $V = - 177 + 885 t$ 
B)  $V = - 177 t - 885$ 
C)  $V = 177 t - 885$ 
D)  $V = 177 t + 885$ 
E)  $V = - 177 t + 885$ 
A)  $V = - 177 + 885 t$ 
B)  $V = - 177 t - 885$ 
C)  $V = 177 t - 885$ 
D)  $V = 177 t + 885$ 
E)  $V = - 177 t + 885$

Question 17

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

Accepted Answer

Question 18

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. ​
X > 3 and y = 1
​

Accepted Answer

A) Quadrant III 
B) Quadrant I 
C) Quadrant III and IV 
D) Quadrant II 
E) Quadrant IV 
A) Quadrant III 
B) Quadrant I 
C) Quadrant III and IV 
D) Quadrant II 
E) Quadrant IV

Question 19

Use the graph, which shows the average retail prices of 1 gallon of whole milk from 1996 through 2007. ​   ​
Approximate the lowest price of a gallon of whole milk shown in the graph.When did this occur?
​

Accepted Answer

A) $2.97 / gal; 2001 
B) $3.17 / gal; 2002 
C) $3.07 / gal; 2003 
D) $2.67 / gal; 1997 
E) $3.87 / gal; 2004 
A) $2.97 / gal; 2001 
B) $3.17 / gal; 2002 
C) $3.07 / gal; 2003 
D) $2.67 / gal; 1997 
E) $3.87 / gal; 2004

Question 20

A mechanic is paid $13.00 per hour for regular time and time-and-a-half for overtime.The weekly wage function is given by 
 $W ( h ) = \left\{ \begin{array} { l l } 
13 h & 0  40
\end{array} \right.$  
Where h is the number of hours worked in a week.
 
Evaluate W(30), W(50).

Accepted Answer

A)  W(30) = 410, W(50) = 750 
B)  W(30) = 430, W(50) = 770 
C)  W(30) = 400, W(50) = 740 
D)  W(30) = 390, W(50) = 730 
E)  W(30) = 420, W(50) = 760 
A)  W(30) = 410, W(50) = 750 
B)  W(30) = 430, W(50) = 770 
C)  W(30) = 400, W(50) = 740 
D)  W(30) = 390, W(50) = 730 
E)  W(30) = 420, W(50) = 760

Use the given graph of f to select the graph for the following function. $y = f ( - x )$

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

Graph the function and determine the interval(s) for which f (x) $\ge$ 0. $f ( x ) = - x ^ { 2 } - 2 x$ $Graph the function and determine the interval(s) for which f (x) \ge 0. f ( x ) = - x ^ { 2 } - 2 x$

Determine whether the function is even, odd, or neither. $f ( x ) = 6 x ^ { 3 / 4 }$

Use the graph of $f ( x ) = x ^ { 2 }$ to write an equation for the function whose graph is shown. $Use the graph of f ( x ) = x ^ { 2 } to write an equation for the function whose graph is shown.$

Show algebraically that f and g are inverse functions. f(x) = 9x + 9 $g ( x ) = \frac { x - 9 } { 9 }$

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line. $x + 3 = 0$

Find the distance between the points.Round to the nearest hundredth, if necessary. (-8, -8), (-1, 9)

Evaluate f(7) if f(x) = 4x - 1.

Find the slope of the line. Y = 9x + 25

Tell where the function is decreasing.

A hospital purchases a new magnetic resonance imaging (MRI) machine for $600,000.The depreciated value y (reduced value)after t years is given by y = 600,000 - 20,000t, 0 ≤ t ≤ 6.Sketch the graph of the equation.

Write the standard form of the equation of the circle tangent to the y-axis and with center (-3, -6).

Select the correct graph of the given function. $f ( x ) = | x | - 2$

Select the graph of the given function and determine the interval(s) for which f(x) $\ge$ 0. $f ( x ) = - ( 6 + | x | )$

A sub shop purchases a used pizza oven for $885.After 5 years, the oven will have to be replaced.Select the linear equation giving the value V of the equipment during the 5 years it will be in use.

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

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. X > 3 and y = 1

Use the graph, which shows the average retail prices of 1 gallon of whole milk from 1996 through 2007. Approximate the lowest price of a gallon of whole milk shown in the graph.When did this occur?

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

Use the given graph of f to select the graph for the following function. y=f(−x)y = f ( - x )y=f(−x)

Use the graph of f(x)=∣x∣f ( x ) = | x |f(x)=∣x∣ to write an equation for the function whose graph is shown.

Graph the function and determine the interval(s) for which f (x) ≥\ge≥ 0. f(x)=−x2−2xf ( x ) = - x ^ { 2 } - 2 xf(x)=−x2−2x

Determine whether the function is even, odd, or neither. f(x)=6x3/4f ( x ) = 6 x ^ { 3 / 4 }f(x)=6x3/4

Use the graph of f(x)=x2f ( x ) = x ^ { 2 }f(x)=x2 to write an equation for the function whose graph is shown.

Show algebraically that f and g are inverse functions. f(x) = 9x + 9 g(x)=x−99g ( x ) = \frac { x - 9 } { 9 }g(x)=9x−9​

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line. x+3=0x + 3 = 0x+3=0

​Find the distance between the points.Round to the nearest hundredth, if necessary. ​ (-8, -8), (-1, 9) ​

Evaluate f(7) if f(x) = 4x - 1. ​

Find the slope of the line. ​ Y = 9x + 25 ​

Tell where the function is decreasing.

A hospital purchases a new magnetic resonance imaging (MRI) machine for $600,000.The depreciated value y (reduced value)after t years is given by y = 600,000 - 20,000t, 0 ≤ t ≤ 6.Sketch the graph of the equation. ​

Write the standard form of the equation of the circle tangent to the y-axis and with center (-3, -6).

Select the correct graph of the given function. f(x)=∣x∣−2f ( x ) = | x | - 2f(x)=∣x∣−2

Select the graph of the given function and determine the interval(s) for which f(x) ≥\ge≥ 0. f(x)=−(6+∣x∣)f ( x ) = - ( 6 + | x | )f(x)=−(6+∣x∣)

A sub shop purchases a used pizza oven for $885.After 5 years, the oven will have to be replaced.Select the linear equation giving the value V of the equipment during the 5 years it will be in use.

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

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. ​ X > 3 and y = 1 ​

Use the graph, which shows the average retail prices of 1 gallon of whole milk from 1996 through 2007. ​ ​ Approximate the lowest price of a gallon of whole milk shown in the graph.When did this occur? ​

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

Use the given graph of f to select the graph for the following function. $y = f ( - x )$

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

Graph the function and determine the interval(s) for which f (x) $\ge$ 0. $f ( x ) = - x ^ { 2 } - 2 x$ $Graph the function and determine the interval(s) for which f (x) \ge 0. f ( x ) = - x ^ { 2 } - 2 x$

Determine whether the function is even, odd, or neither. $f ( x ) = 6 x ^ { 3 / 4 }$

Use the graph of $f ( x ) = x ^ { 2 }$ to write an equation for the function whose graph is shown. $Use the graph of f ( x ) = x ^ { 2 } to write an equation for the function whose graph is shown.$

Show algebraically that f and g are inverse functions. f(x) = 9x + 9 $g ( x ) = \frac { x - 9 } { 9 }$

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line. $x + 3 = 0$

Find the distance between the points.Round to the nearest hundredth, if necessary. (-8, -8), (-1, 9)

Evaluate f(7) if f(x) = 4x - 1.

Find the slope of the line. Y = 9x + 25

A hospital purchases a new magnetic resonance imaging (MRI) machine for $600,000.The depreciated value y (reduced value)after t years is given by y = 600,000 - 20,000t, 0 ≤ t ≤ 6.Sketch the graph of the equation.

Select the correct graph of the given function. $f ( x ) = | x | - 2$

Select the graph of the given function and determine the interval(s) for which f(x) $\ge$ 0. $f ( x ) = - ( 6 + | x | )$

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

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. X > 3 and y = 1

Use the graph, which shows the average retail prices of 1 gallon of whole milk from 1996 through 2007. Approximate the lowest price of a gallon of whole milk shown in the graph.When did this occur?