APFIVE 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 |
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.
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.
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.
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.
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