Question 1

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 2

Find an equation of the line through the point   and perpendicular to the line   .

Accepted Answer

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

Question 3

A child's height h (in inches) closely resembles a linear function in terms of the child's age a (in years) if the child is between the ages of 5 and 10. The height of a certain youngster is 46 inches when the child is age 5, and 55 inches at age 7. Find a linear function relating a child's height h to his or her age a.

Accepted Answer

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

Question 4

Use the quadratic formula to find all the zeros.

Accepted Answer

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

Question 5

Graph the following function and describe all extrema.

Accepted Answer

A)    A minimum occurs at   .
No maximum occurs. 
B)    No minimum occurs.
A maximum occurs at   . 
C)    A minimum occurs at   .
No maximum occurs. 
D)    No minimum occurs.
A maximum occurs at   . 
A)    A minimum occurs at   .
No maximum occurs. 
B)    No minimum occurs.
A maximum occurs at   . 
C)    A minimum occurs at   .
No maximum occurs. 
D)    No minimum occurs.
A maximum occurs at   .

Question 6

Find the points of intersection of the two curves. Give exact values for the points.

Accepted Answer

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

Question 7

Identify functions f (x) and g(x) such that given function equals (f ◦ g)(x). tan3 x

Accepted Answer

A)  f (x) = tan x, g(x) = x3 
B)  f (x) = x3, g(x) = tan x 
C)  f (x) = tan x, g(x) = tan2 x 
D)  f (x) = tan2 x, g(x) = tan x 
A)  f (x) = tan x, g(x) = x3 
B)  f (x) = x3, g(x) = tan x 
C)  f (x) = tan x, g(x) = tan2 x 
D)  f (x) = tan2 x, g(x) = tan x

Question 8

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

Accepted Answer

A)    vertical asymptote: x = -2.21 
B)    vertical asymptote: x = -2.21 
C)    vertical asymptote: x = -4 
D)    vertical asymptote: x = -4 
A)    vertical asymptote: x = -2.21 
B)    vertical asymptote: x = -2.21 
C)    vertical asymptote: x = -4 
D)    vertical asymptote: x = -4

Question 9

Solve the inequality. 7x - 7 > 7

Accepted Answer

A) x 2 C) x > 0 D) x < 0 A) x 2 C) x > 0 D) x < 0

Question 10

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.

Question 11

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 12

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 13

Use the graph of   shown below to graph   .

Accepted Answer

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

Question 14

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

Question 16

Use the graph of   shown below to graph   .

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

Convert   to radians.

Accepted Answer

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

Question 19

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 20

Find the compositions f ◦ g and g ◦ f, and identify their respective domains. f (x) = x2 + 9, g(x) = cos x

Accepted Answer

A)  (f ◦ g)(x) = cos(x2 + 9), 0 2 x + 9, 8 2 + 9), all reals (g ◦ f)(x) = cos2 x + 9, all reals 
C)  (f ◦ g)(x) = cos2 x + 9, all reals (g ◦ f)(x) = cos(x2 + 9), all reals 
D)  (f ◦ g)(x) = cos2 x + 9, 8 2 + 9), 0 < x 
A)  (f ◦ g)(x) = cos(x2 + 9), 0 2 x + 9, 8 2 + 9), all reals (g ◦ f)(x) = cos2 x + 9, all reals 
C)  (f ◦ g)(x) = cos2 x + 9, all reals (g ◦ f)(x) = cos(x2 + 9), all reals 
D)  (f ◦ g)(x) = cos2 x + 9, 8 2 + 9), 0 < x

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

Find an equation of the line through the point and perpendicular to the line .

Use the quadratic formula to find all the zeros.

Graph the following function and describe all extrema.

Find the points of intersection of the two curves. Give exact values for the points.

Identify functions f (x) and g(x) such that given function equals (f ◦ g)(x). tan³ x

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

Solve the inequality. 7x - 7 > 7

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

Graph the following function and describe all vertical asymptotes.

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

Use the graph of shown below to graph .

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

Find all intercepts of the graph of .

Use the graph of shown below to graph .

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

Convert to radians.

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

Find the compositions f ◦ g and g ◦ f, and identify their respective domains. f (x) = x² + 9, g(x) = cos x

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

Exam 1: Preliminaries

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

Find an equation of the line through the point and perpendicular to the line .

Use the quadratic formula to find all the zeros.

Graph the following function and describe all extrema.

Find the points of intersection of the two curves. Give exact values for the points.

Identify functions f (x) and g(x) such that given function equals (f ◦ g)(x). tan3 x

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

Solve the inequality. 7x - 7 > 7

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

Graph the following function and describe all vertical asymptotes.

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

Use the graph of shown below to graph .

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

Find all intercepts of the graph of .

Use the graph of shown below to graph .

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

Convert to radians.

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

Find the compositions f ◦ g and g ◦ f, and identify their respective domains. f (x) = x2 + 9, g(x) = cos x

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

Identify functions f (x) and g(x) such that given function equals (f ◦ g)(x). tan³ x

Find the compositions f ◦ g and g ◦ f, and identify their respective domains. f (x) = x² + 9, g(x) = cos x