Analyzing Concavity From Tabular Data

Question

The table provides selected values for a polynomial function $$g$$, which is decreasing on the interval $$3 < x < 7$$. Based on the data, which statement could be true about the graph of $$g$$ on this interval?

| $$x$$     | 3   | 4    | 5    | 6    | 7    |
|:-------:|:---:|:----:|:----:|:----:|:----:|
| $$g(x)$$  | -11 | -19  | -29  | -41  | -55  |

Accepted Answer

The graph of $$g$$ is concave down because the function is decreasing, and the average rate of change over equal-length input-value intervals is decreasing.

Answer

The graph of $$g$$ is concave down because the function is decreasing, and the average rate of change over equal-length input-value intervals is increasing.

Answer

The graph of $$g$$ is concave up because the function is decreasing, and the average rate of change over equal-length input-value intervals is increasing.

Answer

The graph of $$g$$ is concave up because the function is decreasing, and the average rate of change over equal-length input-value intervals is decreasing.

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	Bhavya2019	2	3	0m 00s	190
#2	paanya2010	3	4	2m 07s	163
#3	ellianachivonne	3	3	2m 19s	161
#4	fahidalia08	2	2	1m 12s	128
#5	karamalhamad.097	2	3	1m 07s	123
#6	mahmoudjibrin08	2	3	1m 28s	102
#7	vidushi.venya	1	1	0m 00s	100
#8	mason.mirabile	1	1	0m 00s	100
#9	ceezarzuaiter2001	1	1	0m 04s	96
#10	nkatikitala2011	2	3	1m 40s	90

Analyzing Concavity From Tabular Data

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