Module 8: Interpreting Concavity for Polynomial Functions Quiz

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Question 1 of 5

Question1

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SallyMay creates a function to model her internet download speed over the course of a 24 hour period. When the download speed is decreasing, would SallyMay prefer the function be concave-up or concave-down?

SallyMay would rather have a concave-down function because the download speed would be decreasing slower and slower.

SallyMay would rather have a concave-up function because that would indicate that the download speed decreases faster and faster.

SallyMay would rather have a concave-down function because that would indicate that the download speed decreases faster and faster

SallyMay would rather have a concave-up function because that would indicate that the download speed would be decreasing slower and slower.

The following graph depicts Sunrise Sky Spa's membership changes since 2000.

[The graph shows a curve that begins at point A at (0, 12), then passes through the points B (0.3, 11.7), C (1, 12.7), D (2.8, 14.2), E (5.4, 18.9), F (6.9, 21.8), G (8.7, 17), H (10.5, 11.6) and ends at I (11. 5, 13.6).] 2018 WGU, Powered by GeoGebra

Question 2 of 5

Question2

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Which statement correctly describesthenumber of memberships from the beginning of 2001 to mid-2005?

From the beginning of 2001 to mid-2005, the number of memberships increased more and more slowly.

From the beginning of 2001 to mid-2005, the number of memberships increased faster and faster.

From the beginning of 2001 to mid-2005, the number of memberships increased faster and faster at first and then increased more and more slowly.

From the beginning of 2001 to mid-2005, the number of memberships increased more and more slowly at first and then increased faster and faster.

The following function models Winter Gears'daily revenue in the past year.

[The graph shows a curve that begins at (0, 9.6), then passes through the points (1.4, 10.4), (9.4, 3.4) and ends at (12, 6).] 2018 WGU, Powered by GeoGebra

Question 3 of 5

Question3

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Identify all segments where the function is concave up.

The function is concave up fromx= 5.4tox= 12.

The function is concave up fromx= 0tox= 1.4.

The function is concave up fromx= 5.4tox= 9.4.

The function is concave up fromx= 0tox= 5.4.

SallyMay'scable company promised 40 megabits per second (Mbps) ofinternetdownload speed when she purchased the service. Once the service was provided, she tested her download speed for a24-hour period. The following graph shows the test result. Define this functionB(t)B(t)to model the download speed, in Mbps, wheretis the number of hours since0:00a.m.on the daythe test was conducted.

[The graph shows a curve that begins at (0, 37), then passes through the points (4.8, 40.8), (12, 29.5), (14.8, 30.5), (20.4, 18.5) and ends at (24, 36.5).] 2018 WGU, Powered by GeoGebra

Question 4 of 5

Question4

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What is true about this function?

From 0:00 a.m. to 1:00 a.m.,the download speed was increasingfasterandfaster.

From 0:00 a.m. to 1:00 a.m., internet speed wasdecreasing faster and faster.

From 0:00 a.m. to 1:00 a.m., thedownload speed was increasing slower and slower.

From 0:00 a.m. to 1:00 a.m., internet speed was decreasing.

The following graph depicts Sunrise Sky Spa's membership changes since 2000.

[The graph shows a curve that begins at point A at (0, 12), then passes through the points B (0.3, 11.7), C (1, 12.7), D (2.8, 14.2), E (5.4, 18.9), F (6.9, 21.8), G (8.7, 17), H (10.5, 11.6) and ends at I (11. 5, 13.6).] 2018 WGU, Powered by GeoGebra

Question 5 of 5

Question5

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Describe the concavity of this function from 2000 to 2001.

From the beginning of 2000 to the beginning of 2001, the function is concave up and then concave down.

From the beginning of 2000 to the beginning of 2001, the function is concave down and then concave up.

From the beginning of 2000 to the beginning of 2001, the function is concave up.

From the beginning of 2000 to the beginning of 2001, the function is concave down.

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