Use the image to answer the question.

Question

A coordinate plane's axes range from 0 to 8 in 0.5-unit increments, but labeled at every 2-unit interval. A curve is plotted passing through four marked points.

What is the initial value of the sequence?

(1 point)
Responses

0.5
0.5

0
0

1
1

2
2

Answer 1

To determine the initial value of the sequence from the described curve on the coordinate plane, we typically look for the point where the curve intersects the y-axis (when \(x = 0\)).

Since you mentioned that the coordinates range from 0 to 8 with increments of 0.5, and the labels are at every 2-unit interval, the initial value would likely be one of the provided options listed as responses.

In this case, if we assume the curve starts at the y-axis at the y-value corresponding to the options provided:

• If the curve passes through (0, 0), the initial value would be 0.
• If the curve passes through (0, 0.5), the initial value would be 0.5.
• If the curve passes through (0, 1), the initial value would be 1.
• If the curve passes through (0, 2), the initial value would be 2.

Based on the information given, the actual value would depend on which point the curve intersects the y-axis at. If you can identify that point from the image or graph, that will lead you to the correct choice.

Please refer to the actual curve plotted in the image to confirm which of those values represents the initial value (at \(x = 0\)).