This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
To determine if the relation defines as a function of , we use the vertical line test.
Step 1: Apply the vertical line test. The vertical line test states that if any vertical line intersects the graph at more than one point, then the graph does not represent as a function of . If every vertical line intersects the graph at most one point, then it is a function.
Step 2: Observe the given graph. If we draw any vertical line across the graph, it will intersect the curve at exactly one point. For every -value in the domain, there is only one corresponding -value.
Step 3: Conclude based on the test. Since no vertical line intersects the graph at more than one point, the relation defines as a function of .
The correct option is: Yes, this relation defines as a function of .
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To determine if the relation defines y as a function of x, we use the vertical line test.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.