Mathis Ross
05/05/2024 · Middle School
Think about the appearance of the graph for the equation below. Without graphing, determine if the equation represents a function. Explain why or why not. \( x=2 \)
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Step-by-step Solution
The equation \( x = 2 \) represents a vertical line passing through the point (2, 0) on the coordinate plane.
To determine if this equation represents a function, we need to check if each input (x-value) corresponds to exactly one output (y-value).
In this case, for any x-value, there is only one corresponding y-value (0) because the equation is a vertical line. Therefore, the equation \( x = 2 \) represents a function.
Quick Answer
The equation \( x = 2 \) represents a function because each x-value corresponds to only one y-value.
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