Question

Determine if the relation y=4x−1 is a function by first graphing the relation, then applying the vertical line test. Enter 1 if the relation is a function. Enter 2 if the relation is not a function.(1 point)

Answer 1

To determine if the relation \( y = 4x - 1 \) is a function, we can follow these steps:

1. **Graph the Relation**: The equation \( y = 4x - 1 \) represents a linear function with a slope of 4 and a y-intercept of -1.

2. **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**.