Question

Determine if the relation y=4x−1y=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 analyze the equation and apply the vertical line test.

1. **Graph the relation**: The equation \( y = 4x - 1 \) is a linear equation, which will produce a straight line when graphed. The slope is 4 and the y-intercept is -1.

2. **Vertical Line Test**: The vertical line test states that if any vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

Since \( y = 4x - 1 \) is a straight line, any vertical line drawn will intersect it at exactly one point.

Therefore, by the vertical line test, the relation \( y = 4x - 1 \) is a function.

So the answer is \( 1 \).