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To determine if the relation \( y = 4x - 1 \) is a function, we can follow these steps:
1. **Graphing the relation**: The equation \( y = 4x - 1 \) represents a linear equation, specifically a straight line with a slope of 4 and a y-intercept of -1.
2. **Applying the vertical line test**: The vertical line test states that if a vertical line intersects the graph of the relation more than once at any point, then the relation is not a function.
For the equation \( y = 4x - 1 \), it is a straight line. Therefore, if you imagine drawing vertical lines at any point on the x-axis, they will intersect the line only once at that point.
Since no vertical line intersects the graph more than once, we can conclude that this relation is indeed a function.
Thus, the answer is:
**1** (the relation is a function).