Question 1

Find the domain and range of the function   . ​

Accepted Answer

A)  domain:  
Range:   
B)  domain:  
Range:   
C)  domain:  
Range:   
D)  domain:  
Range:   
E)  none of these 
A)  domain:  
Range:   
B)  domain:  
Range:   
C)  domain:  
Range:   
D)  domain:  
Range:   
E)  none of these

Question 2

Specify a sequence of transformations for the function   that will yield the graph of h from the graph of the function f(x) = sinx. ​

Accepted Answer

A)  The function   is a horizontal shift   unit to the right, followed by a vertical shift 3 units downwards. 
B)  The function   is a horizontal shift   unit to the left, followed by a vertical shift 3 units upwards. 
C)  The function   is a horizontal shift   unit to the left, followed by a horizontal shift 3 units to the right. 
D)  The function   is a vertical shift   unit downwards, followed by a horizontal shift 3 units to the right. 
E)  The function   is a vertical shift   unit upwards, followed by a horizontal shift 3 units to the left. 
A)  The function   is a horizontal shift   unit to the right, followed by a vertical shift 3 units downwards. 
B)  The function   is a horizontal shift   unit to the left, followed by a vertical shift 3 units upwards. 
C)  The function   is a horizontal shift   unit to the left, followed by a horizontal shift 3 units to the right. 
D)  The function   is a vertical shift   unit downwards, followed by a horizontal shift 3 units to the right. 
E)  The function   is a vertical shift   unit upwards, followed by a horizontal shift 3 units to the left.

Question 3

Use a calculator to evaluate each trigonometric function. Round your answers to four decimal places. ​   ​

Accepted Answer

A)  -0.8660 
B)  -0.5000 
C)  0.8660 
D)  0.5000 
E)  -1.1547 
A)  -0.8660 
B)  -0.5000 
C)  0.8660 
D)  0.5000 
E)  -1.1547

Question 4

Write an equation of the line that passes through the given point and is parallel to the given line. Point Line
​     ​

Accepted Answer

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

Question 5

The resistance y in ohms of 1000 feet of solid metal wire at   can be approximated by the model   where x is the diameter of the wire in mils (0.001 in). Use a graphing utility to graph the model   . ​

Accepted Answer

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

Question 6

Find   if   . ​

Accepted Answer

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

Question 7

Find the slope of the line   . ​

Accepted Answer

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

Question 8

Write the following expression in algebraic form. ​   ​

Accepted Answer

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

Question 9

Find the distance between the point   and line   using the formula,   for the distance between the point   and the line   . ​

Accepted Answer

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

Question 10

Solve the equation for   , where   . ​   ​

Accepted Answer

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

Question 11

Write an equation for the function having the given characteristics: ​
The shape of   but shifted nine units to the left and eleven units downward.
​

Accepted Answer

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

Question 12

Convert the radian measure to degree measure. ​   ​

Accepted Answer

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

Question 13

Which of the following is the correct graph of   ? ​

Accepted Answer

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

Question 14

Find the domain of the function   . ​

Accepted Answer

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

Question 15

Find   if   . ​

Accepted Answer

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

Question 16

Find   ,   , and   . ​   ​
Where   ,   , and   .
​

Accepted Answer

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

Question 17

Sketch a graph of the equation   . ​

Accepted Answer

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

Question 18

Evaluate (if possible) the function   at   . Simplify the result. ​

Accepted Answer

A)  2 
B)  undefined 
C)  -1 
D)  3 
E)  1 
A)  2 
B)  undefined 
C)  -1 
D)  3 
E)  1

Question 19

Find the slope of the line passing through the pair of points. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)  0 
A)    
B)    
C)    
D)    
E)  0

Question 20

The resistance y in ohms of 1000 feet of solid metal wire at   can be approximated by the model   ,   where   is the diameter of the wire in mils (0.001 in). If the diameter of the wire is doubled, the resistance is changed by approximately what factor? In determining your answer, you can ignore the constant -0.38. ​

Accepted Answer

A)  5 
B)    
C)  4 
D)    
E)    
A)  5 
B)    
C)  4 
D)    
E)

Find the domain and range of the function .

Specify a sequence of transformations for the function that will yield the graph of h from the graph of the function f(x) = sinx.

Use a calculator to evaluate each trigonometric function. Round your answers to four decimal places.

Write an equation of the line that passes through the given point and is parallel to the given line. Point Line

The resistance y in ohms of 1000 feet of solid metal wire at can be approximated by the model where x is the diameter of the wire in mils (0.001 in). Use a graphing utility to graph the model .

Find if .

Find the slope of the line .

Write the following expression in algebraic form.

Find the distance between the point and line using the formula, for the distance between the point and the line .

Solve the equation for , where .

Write an equation for the function having the given characteristics: The shape of but shifted nine units to the left and eleven units downward.

Convert the radian measure to degree measure.

Which of the following is the correct graph of ?

Find the domain of the function .

Find if .

Find , , and . Where , , and .

Sketch a graph of the equation .

Evaluate (if possible) the function at . Simplify the result.

Find the slope of the line passing through the pair of points.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Anal

Filters

Exam 1: Preparation for Calculus

Find the domain and range of the function . ​

Specify a sequence of transformations for the function that will yield the graph of h from the graph of the function f(x) = sinx. ​

Use a calculator to evaluate each trigonometric function. Round your answers to four decimal places. ​ ​

Write an equation of the line that passes through the given point and is parallel to the given line. Point Line ​ ​

The resistance y in ohms of 1000 feet of solid metal wire at can be approximated by the model where x is the diameter of the wire in mils (0.001 in). Use a graphing utility to graph the model . ​

Find if . ​

Find the slope of the line . ​

Write the following expression in algebraic form. ​ ​

Find the distance between the point and line using the formula, for the distance between the point and the line . ​

Solve the equation for , where . ​ ​

Write an equation for the function having the given characteristics: ​ The shape of but shifted nine units to the left and eleven units downward. ​

Convert the radian measure to degree measure. ​ ​

Which of the following is the correct graph of ? ​

Find the domain of the function . ​

Find if . ​

Find , , and . ​ ​ Where , , and . ​

Sketch a graph of the equation . ​

Evaluate (if possible) the function at . Simplify the result. ​

Find the slope of the line passing through the pair of points. ​ ​

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Anal

Filters

Find the domain and range of the function .

Specify a sequence of transformations for the function that will yield the graph of h from the graph of the function f(x) = sinx.

Use a calculator to evaluate each trigonometric function. Round your answers to four decimal places.

Write an equation of the line that passes through the given point and is parallel to the given line. Point Line

The resistance y in ohms of 1000 feet of solid metal wire at can be approximated by the model where x is the diameter of the wire in mils (0.001 in). Use a graphing utility to graph the model .

Find if .

Find the slope of the line .

Write the following expression in algebraic form.

Find the distance between the point and line using the formula, for the distance between the point and the line .

Solve the equation for , where .

Write an equation for the function having the given characteristics: The shape of but shifted nine units to the left and eleven units downward.

Convert the radian measure to degree measure.

Which of the following is the correct graph of ?

Find the domain of the function .

Find if .

Find , , and . Where , , and .

Sketch a graph of the equation .

Evaluate (if possible) the function at . Simplify the result.

Find the slope of the line passing through the pair of points.