Question 1

Solve the equation for x.

Accepted Answer

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

Question 2

Graph   .

Accepted Answer

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

Question 3

Find the points of intersection of the two curves. Round answers to the nearest hundredth.

Accepted Answer

A)    
B)    
C)    
D)  The curves do not intersect. 
A)    
B)    
C)    
D)  The curves do not intersect. C

Question 4

Complete the square and explain how to transform the graph of   into the graph of

Accepted Answer

A)  shift graph left   units and then down   units 
B)  shift graph right   units and then down   units 
C)  shift the graph right   units and then up   units 
D)  shift the graph left   units and then down   units 
A)  shift graph left   units and then down   units 
B)  shift graph right   units and then down   units 
C)  shift the graph right   units and then up   units 
D)  shift the graph left   units and then down   units

Question 5

Assume that the function has an inverse, and, without solving for the inverse, find the indicated value.   ;

Accepted Answer

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

Question 6

Find an equation of the line with slope   passing through point   .

Accepted Answer

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

Question 7

Graph the following function and describe all vertical asymptotes.

Accepted Answer

A)    vertical asymptotes:   
B)    vertical asymptotes:   
C)    vertical asymptote:   
D)    vertical asymptotes:   
A)    vertical asymptotes:   
B)    vertical asymptotes:   
C)    vertical asymptote:   
D)    vertical asymptotes:

Question 8

Find a function in the form   with the following function values.

Accepted Answer

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

Question 9

Decide whether y is a function of x. y = the social security number and x = the birth date (day and month) of a sample of 1000 Americans

Accepted Answer

A)  y is a function of x 
B)  y is not a function of x 
A)  y is a function of x 
B)  y is not a function of x

Question 10

Determine if the two lines are parallel, perpendicular, or neither.   and

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither 
A)  parallel 
B)  perpendicular 
C)  neither

Question 11

Convert   radians to degrees.

Accepted Answer

A)  468   
B)  480   
C)  495   
D)  523   
A)  468   
B)  480   
C)  495   
D)  523

Question 12

Use the definition of logarithm to determine the value of   .

Accepted Answer

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

Question 13

Convert   into fractional or root form.

Accepted Answer

A)    
B)  49 
C)    
D)  128 
A)    
B)  49 
C)    
D)  128

Question 14

Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth.

Accepted Answer

A)    
B)    
C)    
D)  no real zeros 
A)    
B)    
C)    
D)  no real zeros

Question 15

Determine if   is periodic, and if so, find the smallest (fundamental) period.

Accepted Answer

A)  period =   
B)  period =   
C)  period =   
D)  The function is not periodic. 
A)  period =   
B)  period =   
C)  period =   
D)  The function is not periodic.

Question 16

Use a graph to determine whether the given function is one-to-one. If so, graph the inverse function.

Accepted Answer

A)    
B)    
C)    
D)  The function has no inverse. 
A)    
B)    
C)    
D)  The function has no inverse.

Question 17

Identify functions     and   such that the given function equals

Accepted Answer

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

Question 18

Convert   into exponential form.

Accepted Answer

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

Question 19

Convert   into fractional or root form.

Accepted Answer

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

Question 20

Find the integer value of   without using a calculator.

Accepted Answer

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

Solve the equation for x.

Graph .

Find the points of intersection of the two curves. Round answers to the nearest hundredth.

Complete the square and explain how to transform the graph of into the graph of

Assume that the function has an inverse, and, without solving for the inverse, find the indicated value. ;

Find an equation of the line with slope passing through point .

Graph the following function and describe all vertical asymptotes.

Find a function in the form with the following function values.

Decide whether y is a function of x. y = the social security number and x = the birth date (day and month) of a sample of 1000 Americans

Determine if the two lines are parallel, perpendicular, or neither. and

Convert radians to degrees.

Use the definition of logarithm to determine the value of .

Convert $Convert into fractional or root form.$ into fractional or root form.

Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth.

Determine if is periodic, and if so, find the smallest (fundamental) period.

Use a graph to determine whether the given function is one-to-one. If so, graph the inverse function.

Identify functions and such that the given function equals

Convert into exponential form.

Convert $Convert into fractional or root form.$ into fractional or root form.

Find the integer value of without using a calculator.

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Integration Techniques

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters

Exam 1: Preliminaries

Solve the equation for x.

Graph .

Find the points of intersection of the two curves. Round answers to the nearest hundredth.

Complete the square and explain how to transform the graph of into the graph of

Assume that the function has an inverse, and, without solving for the inverse, find the indicated value. ;

Find an equation of the line with slope passing through point .

Graph the following function and describe all vertical asymptotes.

Find a function in the form with the following function values.

Decide whether y is a function of x. y = the social security number and x = the birth date (day and month) of a sample of 1000 Americans

Determine if the two lines are parallel, perpendicular, or neither. and

Convert radians to degrees.

Use the definition of logarithm to determine the value of .

Convert into fractional or root form.

Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth.

Determine if is periodic, and if so, find the smallest (fundamental) period.

Use a graph to determine whether the given function is one-to-one. If so, graph the inverse function.

Identify functions and such that the given function equals

Convert into exponential form.

Convert into fractional or root form.

Find the integer value of without using a calculator.

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Integration Techniques

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters

Convert $Convert into fractional or root form.$ into fractional or root form.

Convert $Convert into fractional or root form.$ into fractional or root form.