To determine if the relation \( y = 4x - 1 \) is a function, we can follow these steps:
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Graph the Relation: The equation \( y = 4x - 1 \) represents a linear function with a slope of 4 and a y-intercept of -1.
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Vertical Line Test: To apply the vertical line test, we look to see if any vertical line intersects the graph of the relation in more than one point. A relation is a function if every vertical line intersects the graph at most once.
Since the graph of \( y = 4x - 1 \) is a straight line, a vertical line drawn at any x-value will intersect the line at exactly one point.
Thus, based on these evaluations, the relation \( y = 4x - 1 \) is indeed a function.
Therefore, the answer is 1.