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Alg462 Quiz Exponential Growth/Decay

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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.

Question 2
2.

In the function:


Describe the transformation that "a" has on the parent function.

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”

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.”

Question 5
5.

The parent function in red has been transformed to the blue function g(x). Write the equation for g(x).

Question 6
6.

Graph the function: (2 points)


Include at least 5 points in your table (4 points) and plot the "nice" points.

Question 7
7.

Using your graph from #6, what is the horizontal asymptote?

Question 8
8.

Graph the function: (2 points)


Include at least 5 points in your table (4 points) and plot the "nice" points.

Question 9
9.

Using your graph from #8, what is the range of the function?

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)

Question 11
11.

Describe the error in the graph below as it relates to the parent function.

Question 12
12.

Give a reason in the show your work section to justify your answer. Which graph is f(x).


Question 13
13.

Give a reason in the show your work section to justify your answer. Which graph is g(x).


Question 14
14.

In the exponential function, identify the base, "b"