Module 8: Interpreting Concavity for Polynomial Functions Quiz

Step 1 of 1

The following is a function that models the number of Sunrise Sky Spa's membership, in thousands, since 2000.

[The graph shows a curve that begins at (0, 12), then passes through (0.3, 11.7), (1, 12.7), (2.8, 14.2), (5.4, 18.9), (6.9, 21.8), (8.7, 17), (10.5, 11.6) and ends at (11. 5, 13.6).] 2018 WGU, Powered by GeoGebra

Question 1 of 5

Question1

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In general, would management prefer to see concave-up trends or concave-down trends?

Management would like to see concave-down trends because the number of memberships would either decrease faster and faster or increase slower and slower.

Management would like to see concave-up trends because the number of membership would either increase faster and faster or decrease slower and slower.

Management would like to see concave-down trends because the number of memberships would either increase faster and faster or decrease slower and slower.

Management would like to see concave-up trends because the number of memberships would either decrease faster and faster or increase slower and slower.

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. This 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 2 of 5

Question2

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Which statement is true about this function?

From 8:00 a.m. to 10:00 a.m., the internet speed was concave down.

From 8:00 a.m. to 10:00 a.m., internet speed was decreasing faster and faster.

From 8:00 a.m. to 10:00 a.m.,internetspeed was decreasing more and more slowly.

From 8:00 a.m. to 10:00 a.m.,internetspeed was increasing.

Question 3 of 5

Question3

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

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

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

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

SallyMay would rather have a concave-up function because the download speed would be increasing faster and faster.

This function models electricity price, in cents per kilowatt-hour (kWh), in the United States since 2000.

[The graph shows a curve that begins at point A at (0, 8.1), then passes through the points B (1.2, 8.6), C (2.5, 8.4), D (4, 8.2), E (7, 9.3), F (10.5, 10.75), and ends at G (12, 10.6).] 2018 WGU, Powered by GeoGebra

Question 4 of 5

Question4

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Which statement is true about this function?

From the beginning of 2007 to the beginning of 2012, the electricity price was increasing slower and slower then decreasing faster and faster.

From the beginning of 2007 to the beginning of 2012, the electricity price was decreasing at first and then increasing.

From the beginning of 2007 to the beginning of 2012, the electricity price was increasing faster and faster.

From the beginning of 2007 to the beginning of 2012, the electricity price was increasing slower and slower.

The following function models electricity price, in cents per kilowatt-hour (kWh), in the United States since 2000.

[The graph shows a curve that begins at point A at (0, 8.1), then passes through the points B (1.2, 8.6), C (2.5, 8.4), D (4, 8.2), E (7, 9.3), F (10.5, 10.75), and ends at G (12, 10.6).] 2018 WGU, Powered by GeoGebra

Question 5 of 5

Question5

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Past 2012, would customers rather see this graph continue to be concave down or would concave up be preferable?

Since prices were already decreasing going into 2012, concave down would be preferable.

Since prices were already increasing going into 2012, concave up would be preferable.

Since prices were already increasing going into 2012, concave down would be preferable.

Since prices were already decreasing going into 2012, concave up would be preferable.

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