Question 1

Find the x- and y-intercepts of the graph of the equation $y = | 13 x - 7 |$ .

Accepted Answer

A)  x-intercept: $\left( - \frac { 7 } { 13 } , 0 \right)$ y-intercept: (0, 13) 
B)  x-intercept: $\left( - \frac { 13 } { 7 } , 0 \right)$ y-intercept: (0, -7) 
C)  x-intercept: (-7, 0)y-intercept: (0, 13) 
D)  x-intercept: $\left( - \frac { 13 } { 7 } , 0 \right)$ y-intercept: none 
E)  x-intercept: $\left( \frac { 7 } { 13 } , 0 \right)$ y-intercept: (0, 7) 
A)  x-intercept: $\left( - \frac { 7 } { 13 } , 0 \right)$ y-intercept: (0, 13) 
B)  x-intercept: $\left( - \frac { 13 } { 7 } , 0 \right)$ y-intercept: (0, -7) 
C)  x-intercept: (-7, 0)y-intercept: (0, 13) 
D)  x-intercept: $\left( - \frac { 13 } { 7 } , 0 \right)$ y-intercept: none 
E)  x-intercept: $\left( \frac { 7 } { 13 } , 0 \right)$ y-intercept: (0, 7)

Question 2

Select the linear function such that it has the indicated function values. 
 $f ( 1 ) = 8 , f ( 0 ) = 7$

Accepted Answer

A)  $f ( x ) = 4 x + 7$ 
B)  $f ( x ) = x + 7$ 
C)  $f ( x ) = 7 x - 3$ 
D)  $f ( x ) = x - 7$ 
E)  $f ( x ) = - 7 x - 7$ 
A)  $f ( x ) = 4 x + 7$ 
B)  $f ( x ) = x + 7$ 
C)  $f ( x ) = 7 x - 3$ 
D)  $f ( x ) = x - 7$ 
E)  $f ( x ) = - 7 x - 7$

Question 3

An object is dropped from a height of 15 feet. Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and select the graph of the function.
​

Accepted Answer

A) s = -16t2 + 15t​​   
B) s = -16t2 + 15​​   
C) s = -16t2 - 15t​​   
D) s = 16t2 + 15​​   
E) s = -16t2 - 15​​   
A) s = -16t2 + 15t​​   
B) s = -16t2 + 15​​   
C) s = -16t2 - 15t​​   
D) s = 16t2 + 15​​   
E) s = -16t2 - 15​​

Question 4

Find the distance between the points.(Round the answer to two decimal places)​ ​
​(9)5, -4.1), (-3.3, 8.7)
​

Accepted Answer

A) 8.7 
B) 9.5 
C) 327.68 
D) 3.3 
E) 18.10 
A) 8.7 
B) 9.5 
C) 327.68 
D) 3.3 
E) 18.10

Question 5

A school district purchases a high-volume printer, copier, and scanner for $20,000. After 10 years, the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use.

Accepted Answer

A)  $V = 1740 t - 20,000$ 
B)  $V = - 1740 t - 20,000$ 
C)  $V = 1740 t + 20,000$ 
D)  $V = - 1740 t + 20,000$ 
E)  $V = - 1740 + 20,000 t$ 
A)  $V = 1740 t - 20,000$ 
B)  $V = - 1740 t - 20,000$ 
C)  $V = 1740 t + 20,000$ 
D)  $V = - 1740 t + 20,000$ 
E)  $V = - 1740 + 20,000 t$

Question 6

Select the graph of the function and determine whether it is even, odd, or neither. ​
F(x) = 4
​

Accepted Answer

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

Question 7

Determine which of the following point lies on the graph of the equation. ​
Y = |x - 2| + 4
​

Accepted Answer

A) (5, 7) 
B) (5, 9) 
C) (5, 8) 
D) (8, 7) 
E) (6, 7) 
A) (5, 7) 
B) (5, 9) 
C) (5, 8) 
D) (8, 7) 
E) (6, 7)

Question 8

Find the center and radius of the circle $( x - 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25$ .

Accepted Answer

A) center: (1, 5), radius 5 
B) center: (5, 1), radius 25 
C) center: (-5, -1), radius 5 
D) center: (-5, -1), radius 25 
E) center: (5, 1), radius 5 
A) center: (1, 5), radius 5 
B) center: (5, 1), radius 25 
C) center: (-5, -1), radius 5 
D) center: (-5, -1), radius 25 
E) center: (5, 1), radius 5

Question 9

Sketch the graph of the equation y = 4|x - 3| + 2. ​

Accepted Answer

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

Question 10

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. ​
(4a, 6b)
​

Accepted Answer

A) ​(-4a, -6b) 
B) ​(-4a, 6b) 
C) ​(4a, -6b) 
D) ​(4a, 6b) 
E) None of the above 
A) ​(-4a, -6b) 
B) ​(-4a, 6b) 
C) ​(4a, -6b) 
D) ​(4a, 6b) 
E) None of the above

Question 11

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

Accepted Answer

A) The average rate of change from x1 = 1 to x2 = 6 is 19. 
B) The average rate of change from x1 = 1 to x2 = 6 is -9. 
C) The average rate of change from x1 = 1 to x2 = 6 is 9. 
D) The average rate of change from x1 = 1 to x2 = 6 is -28. 
E) The average rate of change from x1 = 1 to x2 = 6 is -2. 
A) The average rate of change from x1 = 1 to x2 = 6 is 19. 
B) The average rate of change from x1 = 1 to x2 = 6 is -9. 
C) The average rate of change from x1 = 1 to x2 = 6 is 9. 
D) The average rate of change from x1 = 1 to x2 = 6 is -28. 
E) The average rate of change from x1 = 1 to x2 = 6 is -2.

Question 12

Which set of ordered pairs represents a function from A to B ?
A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4}

Accepted Answer

A) {(3, -4), (2, -5), (4, -4), (3, -5)} 
B) {(3, -4), (4, 4), (2, -5), (1, 3), (2, 2)} 
C) {(3, 4), (1, 3), (2, 2)} 
D) {(3, 2), (2, -4), (4, 3), (1, 4)} 
E) {(3, -4), (2, 2), (1, 3)} 
A) {(3, -4), (2, -5), (4, -4), (3, -5)} 
B) {(3, -4), (4, 4), (2, -5), (1, 3), (2, 2)} 
C) {(3, 4), (1, 3), (2, 2)} 
D) {(3, 2), (2, -4), (4, 3), (1, 4)} 
E) {(3, -4), (2, 2), (1, 3)}

Question 13

Select the graph of the function and determine whether it is even, odd, or neither. 
 $g ( t ) = \sqrt [ 3 ] { t - 4 }$

Accepted Answer

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

Question 14

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. 
 $y = x ^ { 2 } - 4$

Accepted Answer

A)     Intercepts: (-2, 0), (2, 0), (0, 4) 
B)     Intercepts: (-2, 0), (0, -4) 
C)     Intercepts: (-2, 0), (2, 0), (0, -4) 
D)     Intercepts: (2, 0), (0, -4) 
E)     Intercepts: (2, 0), (0, 4) 
A)     Intercepts: (-2, 0), (2, 0), (0, 4) 
B)     Intercepts: (-2, 0), (0, -4) 
C)     Intercepts: (-2, 0), (2, 0), (0, -4) 
D)     Intercepts: (2, 0), (0, -4) 
E)     Intercepts: (2, 0), (0, 4)

Question 15

Use the Vertical Line Test to determine in which of the graphs y is not a function of x.

Accepted Answer

A) All of the choices (A, B, C, and 
D)  represent functions. 
B)  x2 + y2 = 16   
C)  $y = x ^ { 2 } + 2 x - 3$    
D)   $y = x ^ { 3 } - 2$     
E)   $y = \frac { 1 } { x }$     
A) All of the choices (A, B, C, and 
D)  represent functions. 
B)  x2 + y2 = 16   
C)  $y = x ^ { 2 } + 2 x - 3$    
D)   $y = x ^ { 3 } - 2$     
E)   $y = \frac { 1 } { x }$

Question 16

Write the standard form of the equation of the circle with the given characteristics. 
Center:(3, 1); Radius: 7

Accepted Answer

A)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 49$ 
B)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 7$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + 7 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } = 0$ 
E)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } - 49 = 0$ 
A)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 49$ 
B)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 7$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + 7 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } = 0$ 
E)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } - 49 = 0$

Question 17

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

Accepted Answer

A) ​2x = 8y 
B) -4y = -8 
C) ​5x2 + 5y = 3 
D) ​3x + 6y = -5 
E) ​7y2 + 8x = 9 
A) ​2x = 8y 
B) -4y = -8 
C) ​5x2 + 5y = 3 
D) ​3x + 6y = -5 
E) ​7y2 + 8x = 9

Question 18

Find the slope of the line passing through the pair of points.  
(0, -8), (-6, 0)

Accepted Answer

A)    m = $\frac { 4 } { 3 }$ 
B)    m = $\frac { 4 } { 3 }$ 
C)    m = - $\frac { 4 } { 3 }$ 
D)    m = $\frac { 2 } { 3 }$ 
E)    m = - $\frac { 4 } { 3 }$ 
A)    m = $\frac { 4 } { 3 }$ 
B)    m = $\frac { 4 } { 3 }$ 
C)    m = - $\frac { 4 } { 3 }$ 
D)    m = $\frac { 2 } { 3 }$ 
E)    m = - $\frac { 4 } { 3 }$

Question 19

Use the fact that the resistance of a wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area.  
If #28 copper wire (which has a diameter of 0.0126 inch) has a resistance of 68.17 ohms per thousand feet, what length of #28 copper wire will produce a resistance of 30.5 ohms

Accepted Answer

A) About 447 ft 
B) About 442 ft 
C) About 432 ft 
D) About 452 ft 
E) About 462 ft 
A) About 447 ft 
B) About 442 ft 
C) About 432 ft 
D) About 452 ft 
E) About 462 ft

Question 20

)Given points(5,-11), and (11,-5) form the vertices of the base of a triangle, find a third point so that the three points form the vertices of an isosceles triangle. ​

Accepted Answer

A) (8, -8) 
B) (11, -12) 
C) ​(6, -10) 
D) (10, -6) 
E) (10, -11) 
A) (8, -8) 
B) (11, -12) 
C) ​(6, -10) 
D) (10, -6) 
E) (10, -11)

Find the x- and y-intercepts of the graph of the equation $y = | 13 x - 7 |$ .

Select the linear function such that it has the indicated function values. $f ( 1 ) = 8 , f ( 0 ) = 7$

An object is dropped from a height of 15 feet. Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and select the graph of the function.

Find the distance between the points.(Round the answer to two decimal places) (9)5, -4.1), (-3.3, 8.7)

A school district purchases a high-volume printer, copier, and scanner for $20,000. After 10 years, the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use.

Select the graph of the function and determine whether it is even, odd, or neither. F(x) = 4

Determine which of the following point lies on the graph of the equation. Y = |x - 2| + 4

Find the center and radius of the circle $( x - 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25$ .

Sketch the graph of the equation y = 4|x - 3| + 2.

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. (4a, 6b)

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

Which set of ordered pairs represents a function from A to B ? A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4}

Select the graph of the function and determine whether it is even, odd, or neither. $g ( t ) = \sqrt [ 3 ] { t - 4 }$

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $y = x ^ { 2 } - 4$

Use the Vertical Line Test to determine in which of the graphs y is not a function of x.

Write the standard form of the equation of the circle with the given characteristics. Center:(3, 1); Radius: 7

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

Find the slope of the line passing through the pair of points. (0, -8), (-6, 0)

)Given points(5,-11), and (11,-5) form the vertices of the base of a triangle, find a third point so that the three points form the vertices of an isosceles triangle.

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

Find the x- and y-intercepts of the graph of the equation y=∣13x−7∣y = | 13 x - 7 |y=∣13x−7∣ .

Select the linear function such that it has the indicated function values. f(1)=8,f(0)=7f ( 1 ) = 8 , f ( 0 ) = 7f(1)=8,f(0)=7

An object is dropped from a height of 15 feet. Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and select the graph of the function. ​

Find the distance between the points.(Round the answer to two decimal places)​ ​ ​(9)5, -4.1), (-3.3, 8.7) ​

A school district purchases a high-volume printer, copier, and scanner for $20,000. After 10 years, the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use.

Select the graph of the function and determine whether it is even, odd, or neither. ​ F(x) = 4 ​

Determine which of the following point lies on the graph of the equation. ​ Y = |x - 2| + 4 ​

Find the center and radius of the circle (x−5)2+(y−1)2=25( x - 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25(x−5)2+(y−1)2=25 .

Sketch the graph of the equation y = 4|x - 3| + 2. ​

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. ​ (4a, 6b) ​

Find the average rate of change of the function from x1 = 1 to x2 = 6. f(x)=−x3+2x2+xf ( x ) = - x ^ { 3 } + 2 x ^ { 2 } + xf(x)=−x3+2x2+x

Which set of ordered pairs represents a function from A to B ? A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4}

Select the graph of the function and determine whether it is even, odd, or neither. g(t)=t−43g ( t ) = \sqrt [ 3 ] { t - 4 }g(t)=3t−4​

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. y=x2−4y = x ^ { 2 } - 4y=x2−4

Use the Vertical Line Test to determine in which of the graphs y is not a function of x.

Write the standard form of the equation of the circle with the given characteristics. Center:(3, 1); Radius: 7

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

Find the slope of the line passing through the pair of points. (0, -8), (-6, 0)

)Given points(5,-11), and (11,-5) form the vertices of the base of a triangle, find a third point so that the three points form the vertices of an isosceles triangle. ​

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 x- and y-intercepts of the graph of the equation $y = | 13 x - 7 |$ .

Select the linear function such that it has the indicated function values. $f ( 1 ) = 8 , f ( 0 ) = 7$

An object is dropped from a height of 15 feet. Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and select the graph of the function.

Find the distance between the points.(Round the answer to two decimal places) (9)5, -4.1), (-3.3, 8.7)

Select the graph of the function and determine whether it is even, odd, or neither. F(x) = 4

Determine which of the following point lies on the graph of the equation. Y = |x - 2| + 4

Find the center and radius of the circle $( x - 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25$ .

Sketch the graph of the equation y = 4|x - 3| + 2.

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. (4a, 6b)

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

Select the graph of the function and determine whether it is even, odd, or neither. $g ( t ) = \sqrt [ 3 ] { t - 4 }$

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $y = x ^ { 2 } - 4$

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

)Given points(5,-11), and (11,-5) form the vertices of the base of a triangle, find a third point so that the three points form the vertices of an isosceles triangle.