Question 1

Does the function have an inverse function?

Accepted Answer

A) True 
 B)False

Question 2

Determine which point lies on the graph of the equation $9 x ^ { 2 } + 4 x - 10$ .

Accepted Answer

A) (0, -10) 
B) (1, -10) 
C) (0, -12) 
D) (2, -11) 
E) (1, -12) 
A) (0, -10) 
B) (1, -10) 
C) (0, -12) 
D) (2, -11) 
E) (1, -12)

Question 3

The work W (in joules) done when lifting an object varies jointly with the mass m (in kilograms) of the object and the height h (in meters) that the object is lifted.The work done when a 120-kilogram object is lifted 1.8 meters is 2116.8 joules.How much work is done when lifting a 200-kilogram object 1.5 meters? ​

Accepted Answer

A) 2960 J 
B) 2920 J 
C) 2940 J 
D) 2950 J 
E) 2930 J 
A) 2960 J 
B) 2920 J 
C) 2940 J 
D) 2950 J 
E) 2930 J

Question 4

Find all real values of x such that f(x) = 0. 
 $f ( x ) = \frac { 5 x - 7 } { 3 }$

Accepted Answer

A) x = 2 
B) x = $\frac { 8 } { 5 }$ 
C) x = $\frac { 9 } { 5 }$ 
D) x = $\frac { 7 } { 5 }$ 
E) x = $\frac { 11 } { 5 }$ 
A) x = 2 
B) x = $\frac { 8 } { 5 }$ 
C) x = $\frac { 9 } { 5 }$ 
D) x = $\frac { 7 } { 5 }$ 
E) x = $\frac { 11 } { 5 }$

Question 5

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. ​
X = -2 and y > 0
​

Accepted Answer

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

Question 6

Find the y-intercept of the line determined by the equation. 
 $- 7 x + 4 y = 3$

Accepted Answer

A)  $\left( 0 , \frac { 7 } { 4 } \right)$ 
B)  $\left( 0 , \frac { 3 } { 4 } \right)$ 
C)  $\left( 0 , - \frac { 3 } { 4 } \right)$ 
D)  $\left( - \frac { 7 } { 4 } , 0 \right)$ 
E)  $\left( 0 , - \frac { 7 } { 4 } \right)$ 
A)  $\left( 0 , \frac { 7 } { 4 } \right)$ 
B)  $\left( 0 , \frac { 3 } { 4 } \right)$ 
C)  $\left( 0 , - \frac { 3 } { 4 } \right)$ 
D)  $\left( - \frac { 7 } { 4 } , 0 \right)$ 
E)  $\left( 0 , - \frac { 7 } { 4 } \right)$

Question 7

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 8

Write the linear function f such that it has the indicated values. 
f (-1) = -5, f (-9) = -6

Accepted Answer

A)  y = $- \frac { 3 } { 4 }$ x+ $\frac { 17 } { 3 }$ 
B)  y = 8 x+ 3 
C)  y = $\frac { 1 } { 8 }$ x $- \frac { 41 } { 8 }$ 
D)  y = $\frac { 1 } { 8 }$ x $- \frac { 39 } { 8 }$ 
E)  y = $- \frac { 4 } { 3 }$ x $- \frac { 11 } { 3 }$ 
A)  y = $- \frac { 3 } { 4 }$ x+ $\frac { 17 } { 3 }$ 
B)  y = 8 x+ 3 
C)  y = $\frac { 1 } { 8 }$ x $- \frac { 41 } { 8 }$ 
D)  y = $\frac { 1 } { 8 }$ x $- \frac { 39 } { 8 }$ 
E)  y = $- \frac { 4 } { 3 }$ x $- \frac { 11 } { 3 }$

Question 9

Find the difference quotient and simplify your answer.  
F(y) = 6y2 - 3y, $\frac { f ( 2 + h ) - f ( 2 ) } { h }$ , h $\neq$0

Accepted Answer

A)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 21 + 6 h$ 
B)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = - 3 + 6 y - \frac { 12 } { y }$ 
C)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = - 3 + 6 h$ 
D)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 21 + 6 y - \frac { 12 } { y }$ 
E)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 1 + h$ 
A)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 21 + 6 h$ 
B)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = - 3 + 6 y - \frac { 12 } { y }$ 
C)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = - 3 + 6 h$ 
D)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 21 + 6 y - \frac { 12 } { y }$ 
E)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 1 + h$

Question 10

The suggested retail price of a new hybrid car is p dollars.The dealership advertises a factory rebate of $2000 .

Select a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory.

Accepted Answer

A)  $R ( p ) = 2000 - p$ 
B)  $R ( p ) = p - 2000$ 
C)  $R ( p ) = p + 2000$ 
D)  $R ( p ) = p + 1000$ 
E)  $R ( p ) = p - 1000$ 
A)  $R ( p ) = 2000 - p$ 
B)  $R ( p ) = p - 2000$ 
C)  $R ( p ) = p + 2000$ 
D)  $R ( p ) = p + 1000$ 
E)  $R ( p ) = p - 1000$

Question 11

Evaluate g(t) - g(9) if g(t) = 12t2 - 6t + 3. ​

Accepted Answer

A) g(t) - g(9) = 12t2 - 918 + 6​t 
B) g(t) - g(9) = 6t2 - 918t + 12 
C) g(t) - g(9) = 12t2 - 918t - 6 
D) g(t) - g(9) = 6t2 + 12t - 918 
E) g(t) - g(9) = 12t2 - 6t - 918 
A) g(t) - g(9) = 12t2 - 918 + 6​t 
B) g(t) - g(9) = 6t2 - 918t + 12 
C) g(t) - g(9) = 12t2 - 918t - 6 
D) g(t) - g(9) = 6t2 + 12t - 918 
E) g(t) - g(9) = 12t2 - 6t - 918

Question 12

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. 
 $x = 5 , y = 24$

Accepted Answer

A)  $y = - \frac { 24 } { 5 } x$ 
B)  $y = 24 x$ 
C)  $y = - \frac { 5 } { 24 } x$ 
D)  $y = \frac { 24 } { 5 } x$ 
E)  $y = \frac { 5 } { 24 } x$ 
A)  $y = - \frac { 24 } { 5 } x$ 
B)  $y = 24 x$ 
C)  $y = - \frac { 5 } { 24 } x$ 
D)  $y = \frac { 24 } { 5 } x$ 
E)  $y = \frac { 5 } { 24 } x$

Question 13

The weekly cost C of producing units x in a manufacturing process is given by $C ( x ) = 30 x + 750$ .The number of units x produced in t hours is given by $x ( t ) = 70 t$ .  
Find the cost of the units produced in 6 hours.

Accepted Answer

A) 11,855 
B) 11,850 
C) 11,846 
D) 13,350 
E) 11,854 
A) 11,855 
B) 11,850 
C) 11,846 
D) 13,350 
E) 11,854

Question 14

Find the graph of the equation. 
 $f ( x ) = \sqrt { 3 x - 4 }$

Accepted Answer

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

Question 15

Select the correct graph of the given function. 
 $f ( x ) = \sqrt { x + 1 } + 2$

Accepted Answer

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

Question 16

The point A has coordinates (-3, 5).If A is moved 3 units upward 6 units to the left, what are the new coordinates of A   ?

Accepted Answer

A) (0, -1) 
B) (3, 8) 
C) (0, 11) 
D) (-9, 8) 
E) (3, 2) 
A) (0, -1) 
B) (3, 8) 
C) (0, 11) 
D) (-9, 8) 
E) (3, 2)

Question 17

Assume that the graph has Origin symmetry.Select the complete graph of the equation. ​   ​

Accepted Answer

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

Question 18

Write an equation for the function that is described by the following characteristics. The shape of f(x) = [[x]], but reflected in the y-axis, moved eight units down.

Accepted Answer

A) g(x) = [[-x]] + 8 
B) g(x) = -[[x - 8]] 
C) g(x) = -[[x + 8]] 
D) g(x) = [[-x]] - 8 
E) g(x) = -[[x]] + 8 
A) g(x) = [[-x]] + 8 
B) g(x) = -[[x - 8]] 
C) g(x) = -[[x + 8]] 
D) g(x) = [[-x]] - 8 
E) g(x) = -[[x]] + 8

Question 19

Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values. $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 2 x + 3$

Accepted Answer

A) relative maximum: (2.58, 0.39)relative minimum: (7.27, -1.72) 
B) relative maximum: (0.39, 2.58)relative minimum: (-1.72, 7.27) 
C) relative maximum: (-1.72, 7.27)relative minimum: (0.39, 2.58) 
D) relative maximum: (7.27, -1.72)relative minimum: (2.58, 0.39) 
E) relative maximum: (2.58, 28.33)relative minimum: (7.27, 478.41) 
A) relative maximum: (2.58, 0.39)relative minimum: (7.27, -1.72) 
B) relative maximum: (0.39, 2.58)relative minimum: (-1.72, 7.27) 
C) relative maximum: (-1.72, 7.27)relative minimum: (0.39, 2.58) 
D) relative maximum: (7.27, -1.72)relative minimum: (2.58, 0.39) 
E) relative maximum: (2.58, 28.33)relative minimum: (7.27, 478.41)

Question 20

Find the distance between the points (4, -5) and (9, 0).Round the answer to the nearest tenth. ​

Accepted Answer

A) 7.1 
B) 7.4 
C) 7.3 
D) 7.5 
E) 6.9 
A) 7.1 
B) 7.4 
C) 7.3 
D) 7.5 
E) 6.9

Does the function have an inverse function?

Determine which point lies on the graph of the equation $9 x ^ { 2 } + 4 x - 10$ .

Find all real values of x such that f(x) = 0. $f ( x ) = \frac { 5 x - 7 } { 3 }$

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. X = -2 and y > 0

Find the y-intercept of the line determined by the equation. $- 7 x + 4 y = 3$

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

Write the linear function f such that it has the indicated values. f (-1) = -5, f (-9) = -6

Find the difference quotient and simplify your answer. F(y) = 6y² - 3y, $\frac { f ( 2 + h ) - f ( 2 ) } { h }$ , h $\neq$ 0

The suggested retail price of a new hybrid car is p dollars.The dealership advertises a factory rebate of $2000 . Select a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory.

Evaluate g(t) - g(9) if g(t) = 12t² - 6t + 3.

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. $x = 5 , y = 24$

The weekly cost C of producing units x in a manufacturing process is given by $C ( x ) = 30 x + 750$ .The number of units x produced in t hours is given by $x ( t ) = 70 t$ . Find the cost of the units produced in 6 hours.

Find the graph of the equation. $f ( x ) = \sqrt { 3 x - 4 }$

Select the correct graph of the given function. $f ( x ) = \sqrt { x + 1 } + 2$

The point A has coordinates (-3, 5).If A is moved 3 units upward 6 units to the left, what are the new coordinates of A ?

Assume that the graph has Origin symmetry.Select the complete graph of the equation.

Write an equation for the function that is described by the following characteristics. The shape of f(x) = [[x]], but reflected in the y-axis, moved eight units down.

Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values. $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 2 x + 3$

Find the distance between the points (4, -5) and (9, 0).Round the answer to the nearest tenth.

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

Does the function have an inverse function?

Determine which point lies on the graph of the equation 9x2+4x−109 x ^ { 2 } + 4 x - 109x2+4x−10 .

Find all real values of x such that f(x) = 0. f(x)=5x−73f ( x ) = \frac { 5 x - 7 } { 3 }f(x)=35x−7​

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. ​ X = -2 and y > 0 ​

Find the y-intercept of the line determined by the equation. −7x+4y=3- 7 x + 4 y = 3−7x+4y=3

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

Write the linear function f such that it has the indicated values. f (-1) = -5, f (-9) = -6

Find the difference quotient and simplify your answer. F(y) = 6y2 - 3y, f(2+h)−f(2)h\frac { f ( 2 + h ) - f ( 2 ) } { h }hf(2+h)−f(2)​ , h ≠\neq= 0

The suggested retail price of a new hybrid car is p dollars.The dealership advertises a factory rebate of $2000 . Select a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory.

Evaluate g(t) - g(9) if g(t) = 12t2 - 6t + 3. ​

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=24x = 5 , y = 24x=5,y=24

The weekly cost C of producing units x in a manufacturing process is given by C(x)=30x+750C ( x ) = 30 x + 750C(x)=30x+750 .The number of units x produced in t hours is given by x(t)=70tx ( t ) = 70 tx(t)=70t . Find the cost of the units produced in 6 hours.

Find the graph of the equation. f(x)=3x−4f ( x ) = \sqrt { 3 x - 4 }f(x)=3x−4​

Select the correct graph of the given function. f(x)=x+1+2f ( x ) = \sqrt { x + 1 } + 2f(x)=x+1​+2

The point A has coordinates (-3, 5).If A is moved 3 units upward 6 units to the left, what are the new coordinates of A ?

Assume that the graph has Origin symmetry.Select the complete graph of the equation. ​ ​

Write an equation for the function that is described by the following characteristics. The shape of f(x) = [[x]], but reflected in the y-axis, moved eight units down.

Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values. f(x)=x3+2x2−2x+3f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 2 x + 3f(x)=x3+2x2−2x+3

Find the distance between the points (4, -5) and (9, 0).Round the answer to the nearest tenth. ​

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 point lies on the graph of the equation $9 x ^ { 2 } + 4 x - 10$ .

Find all real values of x such that f(x) = 0. $f ( x ) = \frac { 5 x - 7 } { 3 }$

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. X = -2 and y > 0

Find the y-intercept of the line determined by the equation. $- 7 x + 4 y = 3$

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

Find the difference quotient and simplify your answer. F(y) = 6y² - 3y, $\frac { f ( 2 + h ) - f ( 2 ) } { h }$ , h $\neq$ 0

Evaluate g(t) - g(9) if g(t) = 12t² - 6t + 3.

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. $x = 5 , y = 24$

The weekly cost C of producing units x in a manufacturing process is given by $C ( x ) = 30 x + 750$ .The number of units x produced in t hours is given by $x ( t ) = 70 t$ . Find the cost of the units produced in 6 hours.

Find the graph of the equation. $f ( x ) = \sqrt { 3 x - 4 }$

Select the correct graph of the given function. $f ( x ) = \sqrt { x + 1 } + 2$

Assume that the graph has Origin symmetry.Select the complete graph of the equation.

Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values. $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 2 x + 3$

Find the distance between the points (4, -5) and (9, 0).Round the answer to the nearest tenth.