Sebastian used the table and correctly identified that the data does not represent a logarithmic function. What information did Sebastian use in his deduction? A. The table does not show a vertical asymptote. B. The table shows two y- intercepts and it changes from increasing to decreasing. C. The table shows one x- intercept and one y- intercept. D. The table shows two x- intercepts and it changes from increasing to decreasing.

The graph

X. Y

1. -5

2. 0

4. 4

5. 3

7. -5

Please answer quickly

Therefore, the conclusion is made using the information "the table shows two x-intercepts and it changes from increasing to decreasing". Option D is correct.

Given:

The table shows the points satisfying the function:

X 1 2 4 5 7

Y -5 0 4 3 -5

Now, the plot of points is attached to the image.

Based on the plot, the curve increases from x=1 to x=4 and then starts decreasing.

The curve will cut the x-axis at two points and hence, it will have two x-intercepts.

There is no sign of any y-intercept based on the data available in the table.

So, the curve is definitely not logarithmic because it has two x-intercepts.

Therefore, the conclusion is made using the information "the table shows two x-intercepts and it changes from increasing to decreasing". Option D is correct.

For more details, refer to the link:

https://brainly.com/question/12585216