Question 1

Use inverse functions where needed to find all solutions of the equation in the interval [0,2π). ​   ​

Accepted Answer

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

Question 2

Find the slope and y-intercept (if possible) of the equation of the line.Select the line. ​   ​

Accepted Answer

A)    m = -6
Y-intercept: (0, 6) 
B)    ​ m is undefined.y-intercept: (0, 6) 
C) ​   ​  
Y-intercept: (0, 6) 
D)    m = -1
Y-intercept: (0, 6) 
E) ​   m = 6
Y-intercept: (0, 6) 
A)    m = -6
Y-intercept: (0, 6) 
B)    ​ m is undefined.y-intercept: (0, 6) 
C) ​   ​  
Y-intercept: (0, 6) 
D)    m = -1
Y-intercept: (0, 6) 
E) ​   m = 6
Y-intercept: (0, 6)

Question 3

Find the average rate of change of the function from x1 = 0 to x2 = 3. ​   ​

Accepted Answer

A) The average rate of change from x1 = 0 to x2 = 3 is -3. 
B) The average rate of change from x1 = 0 to x2 = 3 is 3. 
C) The average rate of change from x1 = 0 to x2 = 3 is -10. 
D) The average rate of change from ​x1 = 0 to x2 = 3 is 10. 
E) The average rate of change from x1 = 0 to x2 = 3 is 19. 
A) The average rate of change from x1 = 0 to x2 = 3 is -3. 
B) The average rate of change from x1 = 0 to x2 = 3 is 3. 
C) The average rate of change from x1 = 0 to x2 = 3 is -10. 
D) The average rate of change from ​x1 = 0 to x2 = 3 is 10. 
E) The average rate of change from x1 = 0 to x2 = 3 is 19.

Question 4

Select the graph of the function.

Accepted Answer

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

Question 5

​Find the x- and y-intercepts of the graph of the equation   . ​

Accepted Answer

A) ​x-intercept:   y-intercept: (0, 13) 
B) ​ x-intercept:  
Y-intercept: (0, -7) 
C) ​x-intercept: (-7, 0) y-intercept: (0, 13) 
D) ​x-intercept:   y-intercept: none 
E) ​​x-intercept:   y-intercept: (0, 7) 
A) ​x-intercept:   y-intercept: (0, 13) 
B) ​ x-intercept:  
Y-intercept: (0, -7) 
C) ​x-intercept: (-7, 0) y-intercept: (0, 13) 
D) ​x-intercept:   y-intercept: none 
E) ​​x-intercept:   y-intercept: (0, 7)

Question 6

Determine which point lies on the graph of the equation   .

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 7

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. ​   ​

Accepted Answer

A) x-intercept : none y-intercept : (0, 3)
The graph has y-symmetry.​   
B) x-intercept : (0, 0), (-3, 0) y-intercept : (0, 0)
No symmetry   
C) x-intercept : (0, 0), (-3, 0) y-intercept : (0, 0)
No symmetry
​   
D) x-intercept : (0, 0), (3, 0) y-intercept : (0, 0)
No symmetry
​   
E) x-intercept : (0, 0), (3, 0) y-intercept : (0, 0)
No symmetry
​  
​ 
A) x-intercept : none y-intercept : (0, 3)
The graph has y-symmetry.​   
B) x-intercept : (0, 0), (-3, 0) y-intercept : (0, 0)
No symmetry   
C) x-intercept : (0, 0), (-3, 0) y-intercept : (0, 0)
No symmetry
​   
D) x-intercept : (0, 0), (3, 0) y-intercept : (0, 0)
No symmetry
​   
E) x-intercept : (0, 0), (3, 0) y-intercept : (0, 0)
No symmetry
​  
​

Question 8

Let f (x) = 2x - 1, g(x) = 3x - 2.Find the domain of the function. ​   ​

Accepted Answer

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

Question 9

Use the given graph of f to select the graph for the following function. ​   ​   ​

Accepted Answer

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

Question 10

An object is thrown upward from a height of 6.4 feet at a velocity of 80 feet per second. Use the position equation s = -16t2 + v0t + s0 to select a function that represents the situation and select the graph of the function.
​

Accepted Answer

A) s = -16t2 + 80 - 6.4 ​   
B) s = -16t2 + 80t ​
​   
C) s = -16t2 - 80t - 6.4 ​   
D) s = -16t2 - 80t + 6.4 ​   
E) s = -16t2 + 80t + 6.4 ​
​   
A) s = -16t2 + 80 - 6.4 ​   
B) s = -16t2 + 80t ​
​   
C) s = -16t2 - 80t - 6.4 ​   
D) s = -16t2 - 80t + 6.4 ​   
E) s = -16t2 + 80t + 6.4 ​
​

Question 11

​Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and give the average velocity of the object from time t1 to time t2. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second.
T1 = 1, t2 = 3

Accepted Answer

A) ​s = -16t2 + 38t + 84; avg.velocity = 79 ft/s 
B) ​s = -16t2 + 84t + 38; avg.velocity = 125 ft/s 
C) ​s = -16t2 + 38t + 84; avg.velocity = -26 ft/s 
D) ​s = -16t2 + 84t + 38; avg.velocity = 20 ft/s 
E) ​s = -16t2 + 84t + 38; avg.velocity = 40 ft/s 
A) ​s = -16t2 + 38t + 84; avg.velocity = 79 ft/s 
B) ​s = -16t2 + 84t + 38; avg.velocity = 125 ft/s 
C) ​s = -16t2 + 38t + 84; avg.velocity = -26 ft/s 
D) ​s = -16t2 + 84t + 38; avg.velocity = 20 ft/s 
E) ​s = -16t2 + 84t + 38; avg.velocity = 40 ft/s

Question 12

Place the correct symbol ( , or = ) between the two real numbers. ​
-(-10) -10
​

Accepted Answer

A) -(-10) ≤ -10 B) -(-10) > -10 C) -(-10) = -10 D) -(-10) ≥ -10 E) -(-10) < -10 A) -(-10) ≤ -10 B) -(-10) > -10 C) -(-10) = -10 D) -(-10) ≥ -10 E) -(-10) < -10

Question 13

Find all real values of x such that f(x) = 0. ​
F(x) = 12 - 2x
​

Accepted Answer

A) x = 6 
B) x = 5 
C) x = 7 
D) x = 4 
E) x = 8 
A) x = 6 
B) x = 5 
C) x = 7 
D) x = 4 
E) x = 8

Question 14

Rationalize the numerator of the following expression and then simplify your answer. ​   ​

Accepted Answer

A)    
B) 6 
C) 216 
D)    
E)    
A)    
B) 6 
C) 216 
D)    
E)

Question 15

Identify the terms.Then identify the coefficients of the variable terms of the expression.

Accepted Answer

A)    and   are the terms; 7 and   are the coefficients. 
B)    and   are the terms; 7 and   are the coefficients. 
C)    and   are the terms; 7 and   are the coefficients. 
D)    and   are the terms; -7 and   are the coefficients. 
E)    and   are the terms; 7 and   are the coefficients. 
A)    and   are the terms; 7 and   are the coefficients. 
B)    and   are the terms; 7 and   are the coefficients. 
C)    and   are the terms; 7 and   are the coefficients. 
D)    and   are the terms; -7 and   are the coefficients. 
E)    and   are the terms; 7 and   are the coefficients.

Question 16

Use the graph of   to write an equation for the function whose graph is shown. ​   ​

Accepted Answer

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

Question 17

Use inequality notation and interval notation to describe the set. ​
Y is no more than 20.
​

Accepted Answer

A) Inequality : y ≤ 20 Interval : (∞, -20] 
B) Inequality : y ≤ 20 Interval : (-∞, 20] 
C) Inequality : y ≥ 20 Interval : (-∞, 20] 
D) Inequality : y ≥ 20 Interval : (-∞, -20] 
E) Inequality : y ≤ 20 Interval : (∞, 20] 
A) Inequality : y ≤ 20 Interval : (∞, -20] 
B) Inequality : y ≤ 20 Interval : (-∞, 20] 
C) Inequality : y ≥ 20 Interval : (-∞, 20] 
D) Inequality : y ≥ 20 Interval : (-∞, -20] 
E) Inequality : y ≤ 20 Interval : (∞, 20]

Question 18

Solve the following equation. ​   ​

Accepted Answer

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

Question 19

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. ​
The line has a slope of m = 134.
​

Accepted Answer

A) No change in sales 
B) Sales decreasing 134 units/yr 
C) Sales increasing 134 units/yr 
D) None of the above 
A) No change in sales 
B) Sales decreasing 134 units/yr 
C) Sales increasing 134 units/yr 
D) None of the above

Question 20

Evaluate the function at the specified value of the independent variable and simplify. q(p) = -6p - 3
Q(-2.6)
​

Accepted Answer

A) q(-2.6) = 15.6p + 18 
B) q(-2.6) = 18.6 
C) q(-2.6) = 12.6 
D) q(-2.6) = -2.6p - 3 
E) q(-2.6) = -2.6p + 3 
A) q(-2.6) = 15.6p + 18 
B) q(-2.6) = 18.6 
C) q(-2.6) = 12.6 
D) q(-2.6) = -2.6p - 3 
E) q(-2.6) = -2.6p + 3

Use inverse functions where needed to find all solutions of the equation in the interval [0,2π).

Find the slope and y-intercept (if possible) of the equation of the line.Select the line.

Find the average rate of change of the function from x₁ = 0 to x₂ = 3.

Select the graph of the function.

Find the x- and y-intercepts of the graph of the equation .

Determine which point lies on the graph of the equation .

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.

Let f (x) = 2x - 1, g(x) = 3x - 2.Find the domain of the function.

Use the given graph of f to select the graph for the following function.

An object is thrown upward from a height of 6.4 feet at a velocity of 80 feet per second. Use the position equation s = -16t² + v₀t + s₀ to select a function that represents the situation and select the graph of the function.

Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and give the average velocity of the object from time t₁ to time t₂. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second. T₁ = 1, t₂ = 3

Place the correct symbol ( <, >, or = ) between the two real numbers. -(-10) -10

Find all real values of x such that f(x) = 0. F(x) = 12 - 2x

Rationalize the numerator of the following expression and then simplify your answer.

Identify the terms.Then identify the coefficients of the variable terms of the expression.

Use the graph of to write an equation for the function whose graph is shown.

Use inequality notation and interval notation to describe the set. Y is no more than 20.

Solve the following equation.

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. The line has a slope of m = 134.

Evaluate the function at the specified value of the independent variable and simplify. q(p) = -6p - 3 Q(-2.6)

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Use inverse functions where needed to find all solutions of the equation in the interval [0,2π). ​ ​

Find the slope and y-intercept (if possible) of the equation of the line.Select the line. ​ ​

Find the average rate of change of the function from x1 = 0 to x2 = 3. ​ ​

Select the graph of the function.

​Find the x- and y-intercepts of the graph of the equation . ​

Determine which point lies on the graph of the equation .

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. ​ ​

Let f (x) = 2x - 1, g(x) = 3x - 2.Find the domain of the function. ​ ​

Use the given graph of f to select the graph for the following function. ​ ​ ​

An object is thrown upward from a height of 6.4 feet at a velocity of 80 feet per second. Use the position equation s = -16t2 + v0t + s0 to select a function that represents the situation and select the graph of the function. ​

​Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and give the average velocity of the object from time t1 to time t2. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second. T1 = 1, t2 = 3

Place the correct symbol ( <, >, or = ) between the two real numbers. ​ -(-10) -10 ​

Find all real values of x such that f(x) = 0. ​ F(x) = 12 - 2x ​

Rationalize the numerator of the following expression and then simplify your answer. ​ ​

Identify the terms.Then identify the coefficients of the variable terms of the expression.

Use the graph of to write an equation for the function whose graph is shown. ​ ​

Use inequality notation and interval notation to describe the set. ​ Y is no more than 20. ​

Solve the following equation. ​ ​

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. ​ The line has a slope of m = 134. ​

Evaluate the function at the specified value of the independent variable and simplify. q(p) = -6p - 3 Q(-2.6) ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Use inverse functions where needed to find all solutions of the equation in the interval [0,2π).

Find the slope and y-intercept (if possible) of the equation of the line.Select the line.

Find the average rate of change of the function from x₁ = 0 to x₂ = 3.

Find the x- and y-intercepts of the graph of the equation .

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.

Let f (x) = 2x - 1, g(x) = 3x - 2.Find the domain of the function.

Use the given graph of f to select the graph for the following function.

An object is thrown upward from a height of 6.4 feet at a velocity of 80 feet per second. Use the position equation s = -16t² + v₀t + s₀ to select a function that represents the situation and select the graph of the function.

Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and give the average velocity of the object from time t₁ to time t₂. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second. T₁ = 1, t₂ = 3

Place the correct symbol ( <, >, or = ) between the two real numbers. -(-10) -10

Find all real values of x such that f(x) = 0. F(x) = 12 - 2x

Rationalize the numerator of the following expression and then simplify your answer.

Use the graph of to write an equation for the function whose graph is shown.

Use inequality notation and interval notation to describe the set. Y is no more than 20.

Solve the following equation.

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. The line has a slope of m = 134.

Evaluate the function at the specified value of the independent variable and simplify. q(p) = -6p - 3 Q(-2.6)