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Alg462 Quiz Exponential Growth/Decay
By Cheryl Capitani
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Last updated almost 5 years ago
14 questions
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Question 1
1.
In the function:
Describe the transformation that "h" has on the parent function.
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Question 2
2.
In the function:
Describe the transformation that "a" has on the parent function.
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Question 3
3.
Write a new exponential function that represents the indicated transformation of the parent
function .
Use g(x) to write the transformed function after “a reflection over the x-axis followed by a translation 7 units left”
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Question 4
4.
Write a new exponential function that represents the indicated transformation of the parent
function .
Use g(x) to write the transformed function after “vertical shrink by a factor of 1/4, a translation 3 unit down.”
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Question 5
5.
The parent function in red has been transformed to the blue function g(x). Write the equation for g(x).
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Question 6
6.
Graph the function: (2 points)
Include at least 5 points in your table (4 points) and plot the "nice" points.
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Question 7
7.
Using your graph from #6, what is the horizontal asymptote?
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Question 8
8.
Graph the function: (2 points)
Include at least 5 points in your table (4 points) and plot the "nice" points.
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Question 9
9.
Using your graph from #8, what is the range of the function?
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Question 10
10.
Graph the function: (2 points)
Include at least 5 points in your table (4 points) and plot the "nice" points.
(HINT: Start at x = -4)
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Question 11
11.
Describe the error in the graph below as it relates to the parent function.
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Question 12
12.
Give a reason in the show your work section to justify your answer. Which graph is f(x).
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Question 13
13.
Give a reason in the show your work section to justify your answer. Which graph is g(x).
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Question 14
14.
In the exponential function, identify the base, "b"
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