3)Answer the following questions based on the functions you just graphed. Ref- erence the specific functions if needed. What are the n values when both ends of the function go in the same direction? What are the n values when the ends go in opposite directions? What are the a values when both ends go up? What are the a values when both ends go down? What are the a values when the left end is increasing? What are the a values when the left end is decreasing?
3)Answer the following questions based on the functions you just graphed. Ref- erence the specific functions if needed. What are the n values when both ends of the function go in the same direction? What are the n values when the ends go in opposite directions? What are the a values when both ends go up? What are the a values when both ends go down? What are the a values when the left end is increasing? What are the a values when the left end is decreasing?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Module_Three_Writing Assignment (2) (13) - Word
Module Three Writing Assignment
b Function graph end behavior: both ends down
End behavior activity:
d) y = 3x^5 + 4x^2 + 2
The following polynomial functions are in standard form.
a Leading coefficient is 3, because it has the higher power of x. The n
function degree is 5.
1) Identify a leading coefficient and n (function degree) for each function.
b Function graph end behavior: left end down, right end up
2) Graph each function on your calculator. State end behavior (both ends up,
both ends down, left end up and right end down, or left end d own and right
end up)
e) y = 6x^4 - 4x^3 + 2x^2 -5x + 3
a Leading coefficient is 6 because it has the higher power of x, the n
function degree is 4.
a) y = x^2
b Function graph end behavior: both ends up
a coefficient is 1, because x by itself is equal to 1x, which then makes the
f) y = -4x^7 - 5x^5 + 3x^3 – 1
coefficient 1, the n function degree is 2.
a leading coefficient is -4 because it has the higher power
of
х,
the n
b Function graph end behavior: both ends up
function degree is 7.
b) y = x^3
b Function graph end behavior: left end up, right end down
a Coefficient is 1, because x by itself is equal to 1x, which then makes the
coefficient 1, the n function degree is 3.
g) y = -x^6 + 4x^5 - 3x^2 + 4
b Function graph end behavior: left end down, right end up
a leading coefficient is 1 because it has the highest power of x, the n
c) y = -2x^2 + 4x – 6
function degree is 6.
a Leading coefficient is -2, because it is the highest power of x, the n
b Function graph end behavior: both ends down
function degree is 2.
Screens 1-2 of 4
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Module_Three_Writing Assignment (2) (13) - Word
Module Three Writing Assignment
b Function graph end behavior: both ends down
End behavior activity:
d) y = 3x^5 + 4x^2 + 2
The following polynomial functions are in standard form.
a Leading coefficient is 3, because it has the higher power of x. The n
function degree is 5.
1) Identify a leading coefficient and n (function degree) for each function.
b Function graph end behavior: left end down, right end up
2) Graph each function on your calculator. State end behavior (both ends up,
both ends down, left end up and right end down, or left end d own and right
end up)
e) y = 6x^4 - 4x^3 + 2x^2 -5x + 3
a Leading coefficient is 6 because it has the higher power of x, the n
function degree is 4.
a) y = x^2
b Function graph end behavior: both ends up
a coefficient is 1, because x by itself is equal to 1x, which then makes the
f) y = -4x^7 - 5x^5 + 3x^3 – 1
coefficient 1, the n function degree is 2.
a leading coefficient is -4 because it has the higher power
of
х,
the n
b Function graph end behavior: both ends up
function degree is 7.
b) y = x^3
b Function graph end behavior: left end up, right end down
a Coefficient is 1, because x by itself is equal to 1x, which then makes the
coefficient 1, the n function degree is 3.
g) y = -x^6 + 4x^5 - 3x^2 + 4
b Function graph end behavior: left end down, right end up
a leading coefficient is 1 because it has the highest power of x, the n
c) y = -2x^2 + 4x – 6
function degree is 6.
a Leading coefficient is -2, because it is the highest power of x, the n
b Function graph end behavior: both ends down
function degree is 2.
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Module_Three_Writing Assignment (2) (13) - Word
h) y = -3x + 5
4) Using complete sentences, summarize your results by addressing the fol-
lowing questions. What behavior patterns can you specify based on this ex-
a The leading coefficient is -3 because it has the only power of x, the n
ploration? Your answer should reference leading coefficients, degree, and
function degree is 0.
end behavior of the functions. Combine ideas (and be specific) based on
b Function graph end behavior: right end down, left end up
your answers to question 3.
End of document I
3)Answer the following questions based on the functions you just graphed. Ref-
erence the specific functions if needed.
What are then values when both ends of the function go in the same direction?
What are then values when the ends go in opposite directions?
What are the a values when both ends go up?
What are the a values when both ends go down?
What are the a values when the left end is increasing?
What are the a values when the left end is decreasing?
Screens 3-4 of 4
rocusם
140%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F280b87a4-ff0a-41b7-8564-c1007684f1cf%2Fbf1632f9-74ab-44c4-a10c-2c4b89bd8e83%2Fahkcet_processed.jpeg&w=3840&q=75)
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Module_Three_Writing Assignment (2) (13) - Word
h) y = -3x + 5
4) Using complete sentences, summarize your results by addressing the fol-
lowing questions. What behavior patterns can you specify based on this ex-
a The leading coefficient is -3 because it has the only power of x, the n
ploration? Your answer should reference leading coefficients, degree, and
function degree is 0.
end behavior of the functions. Combine ideas (and be specific) based on
b Function graph end behavior: right end down, left end up
your answers to question 3.
End of document I
3)Answer the following questions based on the functions you just graphed. Ref-
erence the specific functions if needed.
What are then values when both ends of the function go in the same direction?
What are then values when the ends go in opposite directions?
What are the a values when both ends go up?
What are the a values when both ends go down?
What are the a values when the left end is increasing?
What are the a values when the left end is decreasing?
Screens 3-4 of 4
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140%
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Here, n denotes the degree of the function and a denotes the leading coefficient.
Step by step
Solved in 4 steps
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