Question 1

Determine which of the following point lies on the graph of the equation. ​
Y = 3 - |x - 1|
​

Accepted Answer

A) (4, 2) 
B) (6, 0) 
C) (5, 0) 
D) (4, 0) 
E) (4, 1) 
A) (4, 2) 
B) (6, 0) 
C) (5, 0) 
D) (4, 0) 
E) (4, 1)

Question 2

Find the domain of the function. ​
F(x) = 2x2 + 4x - 5
​

Accepted Answer

A) All real numbers x such that x > 0 B) All real numbers x C) All real numbers x such that x < 0 D) Non-negative real numbers x E) Non-negative real numbers x except x = 0 A) All real numbers x such that x > 0 B) All real numbers x C) All real numbers x such that x < 0 D) Non-negative real numbers x E) Non-negative real numbers x except x = 0

Question 3

A sales representative of a company using a personal car receives $160 per day for lodging and meals plus $0.53 per mile driven.Select a linear equation giving the daily cost C to the company in terms of x, the number of miles driven.

Accepted Answer

A)  $C = 0.53 + 160 x$ 
B)  $C = 0.53 x + 160$ 
C)  $C = - 0.53 x - 160$ 
D)  $C = 0.53 x - 160$ 
E)  $C = - 0.53 x + 160$ 
A)  $C = 0.53 + 160 x$ 
B)  $C = 0.53 x + 160$ 
C)  $C = - 0.53 x - 160$ 
D)  $C = 0.53 x - 160$ 
E)  $C = - 0.53 x + 160$

Question 4

Select the correct graph for the given function. 
$f ( x ) = 2 \sqrt { x }$

Accepted Answer

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

Question 5

Which graph represents the function
 $g ( x ) = 2 [ [ x ] ]$

Accepted Answer

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

Question 6

You purchase an all-terrain vehicle (ATV) for $2,000.The depreciated value y after t years is given by y = 2,000 - 500t​, 0 ≤ t ≤ 6.Sketch the graph of the equation.
​

Accepted Answer

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

Question 7

The function f(x) = x2 - 2 is one-to-one on the domain (x $\le$ 0) .Find f -1(x).

Accepted Answer

A)  $f ^ { - 1 } ( x ) = - \sqrt { x + 2 }$ 
B)  $f ^ { - 1 } ( x ) = \frac { 1 } { x ^ { 2 } - 2 }$ 
C)  $f ^ { - 1 } ( x ) = \sqrt { x + 2 }$ 
D)  $f ^ { - 1 } ( x ) = \sqrt { x - 2 }$ 
E) f -1(x) = x2 + 2 
A)  $f ^ { - 1 } ( x ) = - \sqrt { x + 2 }$ 
B)  $f ^ { - 1 } ( x ) = \frac { 1 } { x ^ { 2 } - 2 }$ 
C)  $f ^ { - 1 } ( x ) = \sqrt { x + 2 }$ 
D)  $f ^ { - 1 } ( x ) = \sqrt { x - 2 }$ 
E) f -1(x) = x2 + 2

Question 8

Find the slope of the line determined by the equation. 
 $9 x + 10 y = 11$

Accepted Answer

A)  $m = - 9$ 
B)  $m = 9$ 
C)  $m = - \frac { 9 } { 10 }$ 
D)  $m = \frac { 11 } { 10 }$ 
E)  $m = - 10$ 
A)  $m = - 9$ 
B)  $m = 9$ 
C)  $m = - \frac { 9 } { 10 }$ 
D)  $m = \frac { 11 } { 10 }$ 
E)  $m = - 10$

Question 9

Select the correct graph of the given function. 
 $f ( x ) = 1.5 - 2 x ^ { 2 }$

Accepted Answer

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

Question 10

Let f (x) = x2 - 1, g (x) = 3x - 2.Find the value of the function.
​ $( f + g ) ( 5 )$

Accepted Answer

Question 11

Find the slope of the line through P(-8, -5) and Q(2, 35).

Accepted Answer

The answer of Find the slope of the line through...

Question 12

Which of the following graphs are symmetric about the y-axis

Accepted Answer

A)  $y = x ^ { 7 } - x ^ { 6 } + 18$ 
B)  $y = x ^ { 7 } - x ^ { 12 } + 18$ 
C)  $y = x ^ { 9 } - x ^ { 7 } + 18$ 
D)  $y = x ^ { 12 } - x ^ { 6 } + 18$ 
E)  $y = x ^ { 9 } + x ^ { 7 } + 18$ 
A)  $y = x ^ { 7 } - x ^ { 6 } + 18$ 
B)  $y = x ^ { 7 } - x ^ { 12 } + 18$ 
C)  $y = x ^ { 9 } - x ^ { 7 } + 18$ 
D)  $y = x ^ { 12 } - x ^ { 6 } + 18$ 
E)  $y = x ^ { 9 } + x ^ { 7 } + 18$

Question 13

Tell where the function is decreasing. ​   ​

Accepted Answer

A) always increasing 
B) always decreasing 
C) (0, ∞) 
D) always constant 
E) (-∞, 0) 
A) always increasing 
B) always decreasing 
C) (0, ∞) 
D) always constant 
E) (-∞, 0)

Question 14

Find the zeros of the function algebraically.
 $f ( x ) = \frac { x ^ { 2 } - 10 x + 16 } { 7 x }$

Accepted Answer

A)   $x = - 2,0,8$ 
B)   $x = - 8,0,2$ 
C)   $x = 2,8$ 
D)   $x = 0,2,8$ 
E)   $x = - 8 , - 2,0$ 
A)   $x = - 2,0,8$ 
B)   $x = - 8,0,2$ 
C)   $x = 2,8$ 
D)   $x = 0,2,8$ 
E)   $x = - 8 , - 2,0$

Question 15

The graph of the function is sketched as follows:
​   ​
Determine the interval where the function is increasing.

Accepted Answer

The answer of The graph of the function is sketched...

Question 16

Evaluate the function at the specified value of the independent variable and simplify. 
 $$g ( w ) = \left\{ \begin{array} { c } 
- w , w \leq - 1 \
- w ^ { 2 } + 2 w , - 1  1
\end{array} \right.$$ 
g( $- \frac { 1 } { 2 }$ )

Accepted Answer

A)  g( $- \frac { 1 } { 2 }$ ) = $\frac { 1 } { 2 }$ 
B)  g( $- \frac { 1 } { 2 }$ ) = $\frac { 5 } { 8 }$ 
C)  g( $- \frac { 1 } { 2 }$ ) = $- \frac { 7 } { 4 }$ 
D)  g( $- \frac { 1 } { 2 }$ ) = 5 
E)  g( $- \frac { 1 } { 2 }$ ) = $- \frac { 5 } { 4 }$ 
A)  g( $- \frac { 1 } { 2 }$ ) = $\frac { 1 } { 2 }$ 
B)  g( $- \frac { 1 } { 2 }$ ) = $\frac { 5 } { 8 }$ 
C)  g( $- \frac { 1 } { 2 }$ ) = $- \frac { 7 } { 4 }$ 
D)  g( $- \frac { 1 } { 2 }$ ) = 5 
E)  g( $- \frac { 1 } { 2 }$ ) = $- \frac { 5 } { 4 }$

Question 17

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. ​
X  6
​

Accepted Answer

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

Question 18

You purchase a house for $250,000.The depreciated value, y, after x years is given by y = 250,000 - 12,500x.Sketch the graph of the equation given 0 ≤ x ≤ 8. ​

Accepted Answer

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

Question 19

Find the average rate of change of the function from x1 = 1 to x2 = 5.   $f ( x ) = x ^ { 2 } - 3 x + 6$

Accepted Answer

A) The average rate of change from x1 = 1 to x2 = 5 is 19. 
B) The average rate of change from x1 = 1 to x2 = 5 is 3. 
C) The average rate of change from x1 = 1 to x2 = 5 is -6. 
D) The average rate of change from x1 = 1 to x2 = 5 is -3. 
E) The average rate of change from x1 = 1 to x2 = 5 is 6. 
A) The average rate of change from x1 = 1 to x2 = 5 is 19. 
B) The average rate of change from x1 = 1 to x2 = 5 is 3. 
C) The average rate of change from x1 = 1 to x2 = 5 is -6. 
D) The average rate of change from x1 = 1 to x2 = 5 is -3. 
E) The average rate of change from x1 = 1 to x2 = 5 is 6.

Question 20

Write the standard form of the equation of the circle with center (3, -2) and solution point (-2, 3).

Accepted Answer

A)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 50$ 
B)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = \sqrt { 50 }$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 50$ 
D)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = \sqrt { 50 }$ 
E)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 50$ 
A)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 50$ 
B)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = \sqrt { 50 }$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 50$ 
D)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = \sqrt { 50 }$ 
E)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 50$

Determine which of the following point lies on the graph of the equation. Y = 3 - |x - 1|

Find the domain of the function. F(x) = 2x² + 4x - 5

A sales representative of a company using a personal car receives $160 per day for lodging and meals plus $0.53 per mile driven.Select a linear equation giving the daily cost C to the company in terms of x, the number of miles driven.

Select the correct graph for the given function. $f ( x ) = 2 \sqrt { x }$

Which graph represents the function $g ( x ) = 2 [ [ x ] ]$

You purchase an all-terrain vehicle (ATV) for $2,000.The depreciated value y after t years is given by y = 2,000 - 500t, 0 ≤ t ≤ 6.Sketch the graph of the equation.

The function f(x) = x² - 2 is one-to-one on the domain (x $\le$ 0) .Find f ^-1(x).

Find the slope of the line determined by the equation. $9 x + 10 y = 11$

Select the correct graph of the given function. $f ( x ) = 1.5 - 2 x ^ { 2 }$

Let f (x) = x² - 1, g (x) = 3x - 2.Find the value of the function. $( f + g ) ( 5 )$

Find the slope of the line through P(-8, -5) and Q(2, 35).

Which of the following graphs are symmetric about the y-axis

Tell where the function is decreasing.

Find the zeros of the function algebraically. $f ( x ) = \frac { x ^ { 2 } - 10 x + 16 } { 7 x }$

The graph of the function is sketched as follows: Determine the interval where the function is increasing.

Evaluate the function at the specified value of the independent variable and simplify. $g ( w ) = \left\{ \begin{array} { c } - w , w \leq - 1 \\- w ^ { 2 } + 2 w , - 1 < w \leq 1 \\- w ^ { 3 } + 2 w ^ { 3 } , w > 1\end{array} \right.$ g( $- \frac { 1 } { 2 }$ )

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. X < -9 and - y > 6

You purchase a house for $250,000.The depreciated value, y, after x years is given by y = 250,000 - 12,500x.Sketch the graph of the equation given 0 ≤ x ≤ 8.

Find the average rate of change of the function from x₁ = 1 to x₂ = 5. $f ( x ) = x ^ { 2 } - 3 x + 6$

Write the standard form of the equation of the circle with center (3, -2) and solution point (-2, 3).

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

Determine which of the following point lies on the graph of the equation. ​ Y = 3 - |x - 1| ​

Find the domain of the function. ​ F(x) = 2x2 + 4x - 5 ​

A sales representative of a company using a personal car receives $160 per day for lodging and meals plus $0.53 per mile driven.Select a linear equation giving the daily cost C to the company in terms of x, the number of miles driven.

Select the correct graph for the given function. f(x)=2xf ( x ) = 2 \sqrt { x }f(x)=2x​

Which graph represents the function g(x)=2[[x]]g ( x ) = 2 [ [ x ] ]g(x)=2[[x]]

You purchase an all-terrain vehicle (ATV) for $2,000.The depreciated value y after t years is given by y = 2,000 - 500t​, 0 ≤ t ≤ 6.Sketch the graph of the equation. ​

The function f(x) = x2 - 2 is one-to-one on the domain (x ≤\le≤ 0) .Find f -1(x).

Find the slope of the line determined by the equation. 9x+10y=119 x + 10 y = 119x+10y=11

Select the correct graph of the given function. f(x)=1.5−2x2f ( x ) = 1.5 - 2 x ^ { 2 }f(x)=1.5−2x2

Let f (x) = x2 - 1, g (x) = 3x - 2.Find the value of the function. ​ (f+g)(5)( f + g ) ( 5 )(f+g)(5)

Find the slope of the line through P(-8, -5) and Q(2, 35).

Which of the following graphs are symmetric about the y-axis

Tell where the function is decreasing. ​ ​

Find the zeros of the function algebraically. f(x)=x2−10x+167xf ( x ) = \frac { x ^ { 2 } - 10 x + 16 } { 7 x }f(x)=7xx2−10x+16​

The graph of the function is sketched as follows: ​ ​ Determine the interval where the function is increasing.

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. ​ X < -9 and - y > 6 ​

You purchase a house for $250,000.The depreciated value, y, after x years is given by y = 250,000 - 12,500x.Sketch the graph of the equation given 0 ≤ x ≤ 8. ​

Find the average rate of change of the function from x1 = 1 to x2 = 5. f(x)=x2−3x+6f ( x ) = x ^ { 2 } - 3 x + 6f(x)=x2−3x+6

Write the standard form of the equation of the circle with center (3, -2) and solution point (-2, 3).

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

Determine which of the following point lies on the graph of the equation. Y = 3 - |x - 1|

Find the domain of the function. F(x) = 2x² + 4x - 5

Select the correct graph for the given function. $f ( x ) = 2 \sqrt { x }$

Which graph represents the function $g ( x ) = 2 [ [ x ] ]$

You purchase an all-terrain vehicle (ATV) for $2,000.The depreciated value y after t years is given by y = 2,000 - 500t, 0 ≤ t ≤ 6.Sketch the graph of the equation.

The function f(x) = x² - 2 is one-to-one on the domain (x $\le$ 0) .Find f ^-1(x).

Find the slope of the line determined by the equation. $9 x + 10 y = 11$

Select the correct graph of the given function. $f ( x ) = 1.5 - 2 x ^ { 2 }$

Let f (x) = x² - 1, g (x) = 3x - 2.Find the value of the function. $( f + g ) ( 5 )$

Tell where the function is decreasing.

Find the zeros of the function algebraically. $f ( x ) = \frac { x ^ { 2 } - 10 x + 16 } { 7 x }$

The graph of the function is sketched as follows: Determine the interval where the function is increasing.

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. X < -9 and - y > 6

You purchase a house for $250,000.The depreciated value, y, after x years is given by y = 250,000 - 12,500x.Sketch the graph of the equation given 0 ≤ x ≤ 8.

Find the average rate of change of the function from x₁ = 1 to x₂ = 5. $f ( x ) = x ^ { 2 } - 3 x + 6$