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WorksheetsExponential Transformations
Total questions: 81
Worksheet time: 2hrs 57mins
Name
Class
Date
1.
Our school motto includes...
a)
Charisma, Cactus and Committment
b)
Cold, Comfort and Chills
c)
Character, Courage and Commttment
d)
Chris, Christopher, Christina
2.
What kind of shift happens with this function?
a)
4 points up
b)
4 points to the left
c)
4 points to the right
d)
4 points down
3.
What kind of shift is represented?
a)
up 1 unit
b)
left 1 unit
c)
right 1 unit
d)
down 1 unit
4.
Does this function stretch or shrink?
a)
stretch
b)
shrink
5.
What transformations occur to f(x)=5^x?
a)
translate right 3, up 2
b)
translate left 3, up 2
c)
translate left 3, down 2
d)
translate right 3, down 2
6.
If the value B is greater than 1, what type of exponential function is represented?
a)
decay
b)
growth
7.
What is the asymptote value in the function?
a)
3
b)
2
c)
7
d)
0
8.
What transformation best describes the function?
a)
stretch
b)
shrink
c)
reflection
d)
shift down
9.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
10.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
11.
Classify the given graph.
a)
exponential growth
b)
exponential decay
c)
positive linear
d)
negative linear
12.
Given the function, f(x) = 6.5(0.85)x, identify the initial value.
a)
6.5
b)
0.85
c)
x
d)
f(x)
13.
Given the function, f(x) = 6.5(0.85)x, identify the growth/decay rate.
a)
6.5
b)
0.85
c)
x
d)
f(x)
14.
Identify each function as representing exponential growth or decay.
f(x) = 4(0.89)x
f(x) = 4(0.89)x
a)
growth
b)
decay
15.
a)
It is vertically stretched and translated up.
b)
It is reflected and translated up.
c)
It is vertically compressed and translated up.
d)
It is reflected and translated left.
16.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
17.
Is this exponential growth or decay?
a)
Growth
b)
Decay
18.
Is this exponential growth or decay?
a)
Growth
b)
Decay
20.
What function type models this graph?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
20.
What function type models this graph?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
21.
Given y=5(x-3) - 10 find the asymptote
a)
y = -3
b)
y = -10
22.
What kind of shift is represented?
a)
up 1 unit
b)
left 1 unit
c)
right 1 unit
d)
down 1 unit
23.
What transformations occur in the following function?
a)
right 3, up 2
b)
left 3, up 2
c)
left 3, down 2
d)
right 3, down 2
24.
If the value of the BASE is greater than 1, what type of exponential function is represented?
a)
decay
b)
growth
25.
If b<1, what type of function is represented?
a)
Exponential Growth
b)
Exponential Decay
26.
What is the transformation?
a)
Left 5
b)
Right 5
c)
Up 5
d)
Down 5
27.
What is the transformation?
a)
Left 7
b)
Right 7
c)
Up 7
d)
Down 7
28.
What is the transformation?
a)
Left 5
b)
Right 5
c)
Up 5
d)
Down 5
29.
What is the transformation?
a)
Left 3
b)
Right 3
c)
Up 3
d)
Down 3
30.
What is the transformation?
a)
Left 4
b)
Reflection
c)
Right 4
d)
Down 4
31.
What is the Range?
a)
(-infinity, 0)
b)
(0, infinity)
c)
(-infinity, 4)
d)
(4, infinity)
32.
What is the transformation?
a)
Right 3 and Up 7
b)
Left 3 and Up 7
c)
Right 3 and Down 7
d)
Left 3 and Down 7
33.
What is the Horizontal Asymptote?
a)
y = 7
b)
x = 7
c)
y = 3
d)
y = 0
34.
What is the Horizontal Asymptote?
a)
y = 0
b)
x = 0
c)
y = 7
d)
y = -7
35.
What is domain?
a)
(-infinity, infinity)
b)
(7, infinity)
c)
(-infinity, 7)
d)
(-infinity, 0)
36.
What is range?
a)
(-infinity, infinity)
b)
(7, infinity)
c)
(-infinity, 7)
d)
(0, infinity)
37.
What is a, the initial amount, for the function: f(x) = 800(0.85)x?
a)
800
b)
0.85
c)
0.15
d)
680
38.
What is b (the common ratio or multiplier) for the function: f(x) = 800(0.85)x?
a)
800
b)
0.85
c)
0.15
d)
680
39.
What is r, the growth rate, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
348
40.
What is r, the decay rate, for the function: f(x) = 800(0.85)x?
a)
800
b)
0.85
c)
0.15
d)
680
41.
The NCAA basketball tournament starts with 64 teams. During each round, half of the teams are eliminated. What is the y-intercept for this function?
a)
(64, 0)
b)
(0, 0)
c)
(0, 64)
d)
Cannot be determined
42.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
43.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
Quadratic
44.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
Quadratic
45.
Classify the function, f(x) = 6.5(0.85)x.
a)
exponential growth
b)
exponential decay
c)
positive linear
d)
negative linear
46.
Classify the given graph.
a)
exponential growth
b)
exponential decay
c)
positive linear
d)
negative linear
47.
Is the graph linear, exponential, quadratic or neither?
a)
Linear
b)
Exponential
c)
Neither
d)
Quadratic
48.
Is the graph linear, exponential, quadratic or neither?
a)
Linear
b)
Exponential
c)
Neither
d)
Quadratic
49.
Is the table linear, exponential, quadratic or neither?
a)
Linear
b)
Exponential
c)
Neither
d)
Quadratic
50.
Which equation matches the graph?
a)
y = 2x+3
b)
y = 2x + 3
c)
y = 2x
d)
y = 2-x
51.
Which equation matches the graph?
a)
y = 2x+3
b)
y = 2x + 3
c)
y = 2x
d)
y = 2-x
52.
Which equation matches the graph?
a)
y = 2x+3
b)
y = 2x + 3
c)
y = 2x
d)
y = 2-x
53.
What transformations have happened to y = 2x if the new equation is
y = -2(x+3) -6
y = -2(x+3) -6
a)
It stayed the same
b)
flips, up 3, left 6
c)
flips, right 3, down 6
d)
flips, left 3, down 6
54.
Which graph has an asymptote at y=0?
a)
f(x) = 2x
b)
g(x) = 2x + 4
55.
What is the horizontal asymptote and what transformations have taken place?
y = 2x+2 + 1
y = 2x+2 + 1
a)
y = 2
right 2, up 1
right 2, up 1
b)
y = 1
left 2, up 1
left 2, up 1
c)
y = 1
right 2, up 1
right 2, up 1
d)
y = 2
right 1, up 2
right 1, up 2
56.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
57.
Use the function f(x) = (9)x + 8 to find f(2).
a)
89
b)
73
c)
10
d)
1
58.
Which of the following shows an exponential decay function?
a)
A = 1.5(1.25)x
b)
A = 3x
c)
A = 2(2)x
d)
A = 2(1/2)x
59.
Which equation matches the graph?
a)
y=2(2)x
b)
y=2(1/2)x
c)
y=2x
d)
y=1/2(2)x
60.
What value is missing in the table?
a)
5
b)
3
c)
4
d)
0
61.
Describe the transformations of f(x) = 7x to f(x) = -(7)x+2.
a)
It is vertically stretched and translated up.
b)
It is reflected and translated up.
c)
It is vertically compressed and translated up.
d)
It is reflected and translated left.
62.
Pick the equation that is exponential decay
a)
y=2000(0.88)
b)
y=0.5(1.88)
63.
Pick the equation that is exponential growth
a)
y=2(0.5)x
b)
y = 0.5(2)x
64.
Given y=3x determine the y-intercept
a)
(0,1)
b)
(0,3)
65.
Given y=4(x+1) determine the y-intercept
a)
(0,1)
b)
(0,4)
66.
Choose the equation that has (0,1) as the y-intercept.
a)
y=4x
b)
y=4(x-1)
73.
Describe the transformations of y=4-x
a)
reflect across the x-axis
b)
reflect across the y-axis
68.
Describe the transformation from y=5x to y=0.5(5)x +3
a)
compress by 0.5
b)
shift up 3 units
c)
compress by 0.5 AND shift up 3 units
69.
Given y=5(x-3) - 10 find the asymptote
a)
y = -3
b)
y = -10
70.
y = (2)2x
Determine if growth or decay and determine the y-intercept
Determine if growth or decay and determine the y-intercept
a)
growth (0,1)
b)
decay (0,1)
c)
growth (0,2)
d)
decay (0,2)
71.
What is the y-intercept of y=20(3)x
a)
(0,0)
b)
(0,1)
c)
(0,3)
d)
(0,20)
72.
Describe the transformation of this function y = 5(x+2)
a)
Left 2
b)
Right 2
73.
Describe the transformations of y=4-x
a)
reflect across the x-axis
b)
reflect across the y-axis
74.
What is a transformation?
a)
A change in the position, shape, or size of a figure
b)
A figure prior to the transformation
c)
A figure after the transformation
d)
A transformation that changes only the position of the figure
75.
What are the signs of the ordered pairs in Quadrant II?
a)
(+,+)
b)
(-,+)
c)
(+,-)
d)
(-,-)
76.
Which quadrant is (2,-1) in?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
77.
What quadrant is (-5,6) in?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
78.
What is a translation?
a)
A rigid motion that moves every point of a figure the same distance and in the same direction
b)
A rigid motion that flips a figure over a line
c)
A rigid motion that turns a figure about a fixed point
d)
A transformation that moves each point along the ray through the point starting from a fixed center and multiples distances from the center by a common scale factor
79.
What is a dilation?
a)
A rigid motion that moves every point of a figure the same distance and in the same direction
b)
A rigid motion that flips a figure over a line
c)
A rigid motion that turns a figure about a fixed point
d)
A transformation that moves each point along the ray through the point starting from a fixed center and multiples distances from the center by a common scale factor
80.
What is a reflection?
a)
A rigid motion that moves every point of a figure the same distance and in the same direction
b)
A rigid motion that flips a figure over a line
c)
A rigid motion that turns a figure about a fixed point
d)
A transformation that moves each point along the ray through the point starting from a fixed center and multiples distances from the center by a common scale factor
81.
What is a rotation?
a)
A rigid motion that moves every point of a figure the same distance and in the same direction
b)
A rigid motion that flips a figure over a line
c)
A rigid motion that turns a figure about a fixed point
d)
A transformation that moves each point along the ray through the point starting from a fixed center and multiples distances from the center by a common scale factor
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