Set 3: Quadratic Equations (Advanced)
Explanation
The table below shows the latency (in milliseconds) of a cloud server based on the load balancer setting . Which graph best represents the relationship between the load setting and latency?
| -1 | 0 | 1 | 2 | 3 | |
|---|---|---|---|---|---|
| 10 | 5 | 2 | 1 | 2 |
Minimum latency is 1 ms at setting 2
Minimum latency is 2 ms at setting 1
Maximum latency is 10 ms at setting -1
Latency is constant
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Examining the table, the latency values decrease from 10 to 1 and then increase back to 2. The lowest value in the table is when . This indicates the vertex (minimum point) of the parabolic relationship is at . The graph confirms this, showing a parabola opening upward with its lowest point at . Choice B is incorrect because at setting 1, the latency is 2 ms, which is not the minimum. Choice C is incorrect because while 10 is the highest value shown, parabolas extend infinitely, so it's not a global maximum (and the question asks for the relationship/minimum context usually). Choice D is incorrect because the values change, so it is not constant.
Key Steps:
The correct answer is Minimum latency is 1 ms at setting 2
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