Question 1

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 C

Question 2

Use the range for   to determine the indicated function value.   , find

Accepted Answer

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

Question 3

Find the slope m of the line through the given points.   and

Accepted Answer

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

Question 4

Use the quadratic formula to find all the zeros.

Accepted Answer

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

Question 5

Identify the given function as polynomial, rational, both or neither.

Accepted Answer

A)  polynomial, but not rational 
B)  rational, but not polynomial 
C)  both polynomial and rational 
D)  neither polynomial nor rational 
A)  polynomial, but not rational 
B)  rational, but not polynomial 
C)  both polynomial and rational 
D)  neither polynomial nor rational

Question 6

Use the graph of   shown below to graph   .

Accepted Answer

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

Question 7

Find the domain of the function.

Accepted Answer

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

Question 8

Graph   and   on the same axes.

Accepted Answer

A)    
B)    
C)    
D)  The graphs are identical.   
A)    
B)    
C)    
D)  The graphs are identical.

Question 9

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

Accepted Answer

A)  multiply the scale on the x-axis by   then shift graph right   units and then down   units 
B)  multiply the scale on the y-axis by   then shift graph left   units and then down   units 
C)  multiply the scale on the y-axis by   then shift the graph right   units and then up   units 
D)  multiply the scale on the x-axis by   then shift the graph left   units and then down   units 
A)  multiply the scale on the x-axis by   then shift graph right   units and then down   units 
B)  multiply the scale on the y-axis by   then shift graph left   units and then down   units 
C)  multiply the scale on the y-axis by   then shift the graph right   units and then up   units 
D)  multiply the scale on the x-axis by   then shift the graph left   units and then down   units

Question 10

Solve the inequality.

Accepted Answer

A)  ($\phi$) 
B)  x < -5 
C)    
D)  all reals 
A)  ($\phi$) 
B)  x < -5 
C)    
D)  all reals

Question 11

Find the composition   , then determine its domain.   and

Accepted Answer

A)    domain of   
B)    domain of   
C)    domain of   
D)    domain of   
A)    domain of   
B)    domain of   
C)    domain of   
D)    domain of

Question 12

Solve the inequality. -6 - 6x > -30

Accepted Answer

A) x 4 C) x > 6 D) x < 6 A) x 4 C) x > 6 D) x < 6

Question 13

Solve the inequality. |3x + 2| > 11

Accepted Answer

A) or x > 3 B) -3 < x < 3 C) D) all reals A) or x > 3 B) -3 < x < 3 C) D) all reals

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

Find all intercepts of the graph of   .

Accepted Answer

A)  x-int(s):   ; y-int:   
B)  x-int(s):   ; y-int:   
C)  x-int(s):   ; y-int: 0 
D)  x-int(s):   ; y-int:   
A)  x-int(s):   ; y-int:   
B)  x-int(s):   ; y-int:   
C)  x-int(s):   ; y-int: 0 
D)  x-int(s):   ; y-int:

Question 16

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

Accepted Answer

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

Question 17

Graph the following function and describe all vertical asymptotes. Round answers to the nearest hundredth.

Accepted Answer

A)    vertical asymptote: x = -1.71 
B)    vertical asymptote: x = 1.71 
C)    vertical asymptote: x = 1.71 
D)    vertical asymptote: x = -1.71 
A)    vertical asymptote: x = -1.71 
B)    vertical asymptote: x = 1.71 
C)    vertical asymptote: x = 1.71 
D)    vertical asymptote: x = -1.71

Question 18

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

Accepted Answer

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

Question 19

Graph the following function and describe all intercepts. Round answers to the nearest thousandth.

Accepted Answer

A)    no x-intercept
Y-intercept: (0, -0.021) 
B)    no x-intercept
Y-intercept = (0, 0.021) 
C)    x-intercepts: (-4, 0), (-1, 0)
Y-intercept: (0, 4) 
D)    x-intercepts: (4,0), (1, 0)
Y-intercept: (0, 4) 
A)    no x-intercept
Y-intercept: (0, -0.021) 
B)    no x-intercept
Y-intercept = (0, 0.021) 
C)    x-intercepts: (-4, 0), (-1, 0)
Y-intercept: (0, 4) 
D)    x-intercepts: (4,0), (1, 0)
Y-intercept: (0, 4)

Question 20

Using a graphing utility, estimate the solutions to   in radians. Round answers to the nearest hundredth.

Accepted Answer

A)  -1.00, -4.00 
B)  -.019, 0.94 
C)  -2.95, 1.22 
D)  no solution 
A)  -1.00, -4.00 
B)  -.019, 0.94 
C)  -2.95, 1.22 
D)  no solution

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

Use the range for to determine the indicated function value. , find

Find the slope m of the line through the given points. and

Use the quadratic formula to find all the zeros.

Identify the given function as polynomial, rational, both or neither.

Use the graph of shown below to graph .

Find the domain of the function.

Graph and on the same axes.

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

Solve the inequality.

Find the composition , then determine its domain. and

Solve the inequality. -6 - 6x > -30

Solve the inequality. |3x + 2| > 11

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

Find all intercepts of the graph of .

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

Graph the following function and describe all vertical asymptotes. Round answers to the nearest hundredth.

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

Graph the following function and describe all intercepts. Round answers to the nearest thousandth.

Using a graphing utility, estimate the solutions to in radians. Round answers to the nearest hundredth.

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Exponentials, Logarithms and Other Transcendental Functions

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

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Exam 1: Preliminaries

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

Use the range for to determine the indicated function value. , find

Find the slope m of the line through the given points. and

Use the quadratic formula to find all the zeros.

Identify the given function as polynomial, rational, both or neither.

Use the graph of shown below to graph .

Find the domain of the function.

Graph and on the same axes.

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

Solve the inequality.

Find the composition , then determine its domain. and

Solve the inequality. -6 - 6x > -30

Solve the inequality. |3x + 2| > 11

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

Find all intercepts of the graph of .

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

Graph the following function and describe all vertical asymptotes. Round answers to the nearest hundredth.

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

Graph the following function and describe all intercepts. Round answers to the nearest thousandth.

Using a graphing utility, estimate the solutions to in radians. Round answers to the nearest hundredth.

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Exponentials, Logarithms and Other Transcendental Functions

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