Deck 1: Preliminaries
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Deck 1: Preliminaries
1
Determine if the given points are collinear. (-3, -5), (-1, -1), (-7, -14)
A) Yes
B) No
A) Yes
B) No
B
2
Find an equation of the line through the point
and parallel to the line
.
A)
B)
C)
D)


A)

B)

C)

D)

D
3
Determine if the given points are collinear. (3, -1), (5, 4), (-1, -11)
A) Yes
B) No
A) Yes
B) No
A
4
Determine if the two lines are parallel, perpendicular, or neither.
and 
A) parallel
B) perpendicular
C) neither


A) parallel
B) perpendicular
C) neither
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5
Determine if the two lines are parallel, perpendicular, or neither.
and 
A) parallel
B) perpendicular
C) neither


A) parallel
B) perpendicular
C) neither
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6
Use the vertical line test to determine whether or not the graph is a function. 
A) function
B) not a function

A) function
B) not a function
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7
Determine if the two lines are parallel, perpendicular, or neither.
and 
A) parallel
B) perpendicular
C) neither


A) parallel
B) perpendicular
C) neither
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8
Find the slope m of the line through the given points.
and 
A)
B)
C)
D)


A)

B)

C)

D)

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9
Find an equation of the line through the point
and perpendicular to the line
.
A)
B)
C)
D)


A)

B)

C)

D)

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10
Find an equation of the line through the given points. 
A)
B)
C)
D)

A)

B)

C)

D)

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11
Use the vertical line test to determine whether or not the graph is a function. 
A) function
B) not a function

A) function
B) not a function
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k this deck
12
Find an equation of the line through the point
and perpendicular to the line
.
A)
B)
C)
D)


A)

B)

C)

D)

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13
Find the slope m of the line through the given points. A (5, -2) and B (1, -11)
A)
B)
C)
D)
A)

B)

C)

D)

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14
Find an equation of the line through the given points. 
A)
B)
C)
D)

A)

B)

C)

D)

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15
Find an equation of the line with slope
passing through point
.
A)
B)
C)
D)


A)

B)

C)

D)

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16
Use the vertical line test to determine whether or not the graph is a function. 
A) function
B) not a function

A) function
B) not a function
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Unlock Deck
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17
Find an equation of the line with slope
passing through point
.
A)
B)
C)
D)


A)

B)

C)

D)

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Unlock Deck
k this deck
18
Use the vertical line test to determine whether or not the graph is a function. 
A) function
B) not a function

A) function
B) not a function
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Unlock Deck
k this deck
19
Find an equation of the line with slope
passing through point
.
A)
B)
C)
D)


A)

B)

C)

D)

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20
Solve the inequality. 
A)
B)
C)
D)

A)

B)

C)

D)

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21
Find the domain of the function. 
A)
B)
C)
D)

A)

B)

C)

D)

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22
Determine
when
.
A)
B)
C)
D)


A)

B)

C)

D)

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23
Find the domain of the function. 
A)
B)
C)
D)

A)

B)

C)

D)

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24
Identify the given function as polynomial, rational, both or neither. 
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
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25
Identify the given function as polynomial, rational, both or neither. 
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
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26
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
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
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27
Use the quadratic formula to find all the zeros. 
A)
B)
C)
D)

A)

B)

C)

D)

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28
Find the domain of the function. 
A)
B)
C)
D)

A)

B)

C)

D)

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29
Use the quadratic formula to find all the zeros. 
A)
B)
C)
D)

A)

B)

C)

D)

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30
Determine
when
.
A)
B)
C)
D)


A)

B)

C)

D)

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31
Decide whether y is a function of x. y = how far an object lands from the base of a building, x = the velocity with which the object is thrown horizontally
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
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32
Identify the given function as polynomial, rational, both or neither. 
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
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33
Find all intercepts of the graph of
.
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):


B) x-int(s):


C) x-int(s):

D) x-int(s):


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34
Find all intercepts of the graph of
.
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):


B) x-int(s):


C) x-int(s):


D) x-int(s):


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35
Identify the given function as polynomial, rational, both or neither. 
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
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36
Find the domain of the function. 
A)
B)
C)
D)

A)

B)

C)

D)

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k this deck
37
Find all intercepts of the graph of
.
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):


B) x-int(s):


C) x-int(s):


D) x-int(s):


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38
Use the quadratic formula to find all the zeros. 
A)
B)
C)
D)

A)

B)

C)

D)

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k this deck
39
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.
A)
B)
C)
D)
A)

B)

C)

D)

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40
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 44 inches when the child is age 5, and 55 inches at age 7. Determine the height of a child when he is 10 years old.
A)
B)
C)
D)
A)

B)

C)

D)

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41
Graph the following function and describe all asymptotes. Round answers to the nearest hundredth.

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


A)

B)

C)

D)

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42
Graph the following function and describe all intercepts. Round answers to the nearest thousandth.

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)

Y-intercept: (0, -0.021)
B)

Y-intercept = (0, 0.021)
C)

Y-intercept: (0, 4)
D)

Y-intercept: (0, 4)
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43
Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth. 
A)
B)
C)
D) no real zeros

A)

B)

C)

D) no real zeros
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44
Graph the following function and describe all extrema.

A)
No minimum nor maximum occurs.
B)
A minimum occurs at
.
A maximum occurs at
.
C)
A minimum occurs at
.
A maximum occurs at
.
D)
A minimum occurs at
.
A maximum occurs at
.


A)

B)


A maximum occurs at

C)


A maximum occurs at

D)


A maximum occurs at

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45
Graph the following function and describe all extrema. Round answers to the nearest hundredth.

A)
A minimum occurs at
.
A maxumum occurs at
.
B)
No minimum nor maximum occurs.
C)
No minimum occurs.
A maximum occurs at
.
D)
A minimum occurs at
.
A maximum occurs at
.


A)


A maxumum occurs at

B)

C)

A maximum occurs at

D)


A maximum occurs at

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46
Find the points of intersection of the two curves. Give exact values for the points. 
A)
B)
C)
D)

A)

B)

C)

D)

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47
Graph the following function and describe all intercepts. Round answers to the nearest hundredth.

A)
x-intercepts: (1,0), (-1, 0)
No y-intercept
B)
x-intercepts: (-2.70, 0), (-0.83, 0), (0.83, 0), (2.70, 0)
Y-intercept: (0, 5)
C)
x-intercepts: (-2.14, 0), (2.14,0)
Y-intercept: (0, 5)
D)
x-intercepts: (-2.70, 0), (-0.83,0 ), (0.83, 0), (2.70, 0)
Y-intercept: (0, -5)


A)

No y-intercept
B)

Y-intercept: (0, 5)
C)

Y-intercept: (0, 5)
D)

Y-intercept: (0, -5)
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48
Graph the following function and describe all extrema.

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)


No maximum occurs.
B)

A maximum occurs at

C)


No maximum occurs.
D)

A maximum occurs at

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49
Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth. 
A)
B)
C)
D) no real zeros

A)

B)

C)

D) no real zeros
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50
Graph the following function and describe all vertical asymptotes. Round answers to the nearest hundredth.

A)
no vertical asymptotes
B)
vertical asymptote: x = 2.29
C)
vertical asymptote: x = 2.29
D)
vertical asymptote: x = -2.29


A)

B)

C)

D)

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51
Graph the following function and describe all vertical asymptotes.

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


A)


B)


C)


D)


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52
Show that
and
for all x. Show all work.
and 




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k this deck
53
Find the points of intersection of the two curves. Round answers to the nearest hundredth. 
A)
B)
C)
D) The curves do not intersect.

A)

B)

C)

D) The curves do not intersect.
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54
Graph the following function and describe all extrema. Round answers to the nearest hundredth.

A)
A minimum occurs at
.
A maximum occurs at
.
B)
A minimum occurs at
.
A maximum occurs at
.
C)
A minimum occurs at
.
A maximum occurs at
.
D)
. A minimum occurs at
.
A maximum occurs at
.


A)


A maximum occurs at

B)


A maximum occurs at

C)


A maximum occurs at

D)


A maximum occurs at

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55
Graph the following function and describe all extrema. Round answers to the nearest thousandth.

A)
No minimum nor maximum occurs.
B)
A minimum occurs at
.
No maximum occurs.
C)
A minimum occurs at
.
A maximum occurs at
.
D)
No minimum nor maximum occurs.


A)

B)


No maximum occurs.
C)


A maximum occurs at

D)

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56
Graph the following function and describe all vertical asymptotes. Round answers to the nearest hundredth.

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)

B)

C)

D)

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57
Graph the following function and describe all intercepts. Round answers to the nearest hundredth.

A)
x-intercepts: (-6.73, 0), (0.35, 0)
No y-intercept
B)
intercept: (0, 0)
C)
intercept: (0, 0)
D)
no intercepts


A)

No y-intercept
B)

C)

D)

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58
Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth. 
A)
B)
C)
D) no real zeros

A)

B)

C)

D) no real zeros
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59
Find the points of intersection of the two curves. Round answers to the nearest hundredth. 
A)
B)
C)
D) The curves do not intersect.

A)

B)

C)

D) The curves do not intersect.
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60
Graph the following function and describe all intercepts.

A)
no x-intercepts
Y-intercept: (0, -2)
B)
x-intercepts:
, 
No y-intercepts
C)
no x-intercepts
Y-intercept: (0, 2)
D)
x-intercepts:
, 
No y-intercept


A)

Y-intercept: (0, -2)
B)



No y-intercepts
C)

Y-intercept: (0, 2)
D)



No y-intercept
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61
Use the given graph to sketch the inverse function. 
A)
B)
C)
D)

A)

B)

C)

D)

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62
Decide whether the function described has an inverse. The weight of a package dependent upon the amount of postage bought.
A) yes
B) no
A) yes
B) no
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63
Use a graph to determine whether the given function is one-to-one. If so, graph the inverse function. 
A)
B)
C)
D) The function has no inverse.

A)

B)

C)

D) The function has no inverse.
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64
Assume that the function has an inverse. Without solving for the inverse, find the indicated function value.

A) 2
B) 13
C) -2
D) -13


A) 2
B) 13
C) -2
D) -13
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65
Show that
and
for all x. Show all work.
and
; 





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Unlock Deck
k this deck
66
Use the given graph to sketch the inverse function. 
A)
B)
C)
D)

A)

B)

C)

D)

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67
Convert
radians to degrees. Round answer to the nearest tenth of a degree.
A) 331.4
B) 343.8
C) 411.3
D) 433.0

A) 331.4

B) 343.8

C) 411.3

D) 433.0

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68
Convert
to radians.
A)
B)
C)
D)

A)

B)

C)

D)

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k this deck
69
Assume that the function has an inverse, and, without solving for the inverse, find the indicated value.
; 
A)
B)
C)
D)


A)

B)

C)

D)

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70
Determine if the function is one-to-one. If it is, then find its inverse and graph both the function and its inverse.



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71
Assume that the function has an inverse, and, without solving for the inverse, find the indicated value.
; 
A)
B)
C)
D)


A)

B)

C)

D)

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72
Convert
radians to degrees.
A) 468
B) 480
C) 495
D) 523

A) 468

B) 480

C) 495

D) 523

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73
Convert
to radians.
A)
B)
C)
D)

A)

B)

C)

D)

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Unlock Deck
k this deck
74
The function below has an inverse. Graph the inverse function. 
A)
B)
C)
D)

A)

B)

C)

D)

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75
The function below has an inverse. Graph the inverse function.

A)
B)
C)
D)


A)

B)

C)

D)

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76
Determine if the function is one-to-one. If it is, then find its inverse and graph both the function and its inverse.



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77
Determine whether the function has an inverse (is one-to-one). If so, find the inverse. 
A)
B)
C)
D) The function has no inverse.

A)

B)

C)

D) The function has no inverse.
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78
Determine whether the function has an inverse (is one-to-one). If so, find the inverse. 
A)
B)
C)
D) The function has no inverse.

A)

B)

C)

D) The function has no inverse.
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Unlock Deck
k this deck
79
The function below has an inverse. Graph the inverse function. 
A)
B)
C)
D)

A)

B)

C)

D)

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80
Decide whether the function described has an inverse. The length of the shadow of a flagpole from noon to dusk.
A) yes
B) no
A) yes
B) no
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