Determine if the relation y=4x−1 is a function.

Answer 1

Yes, the relation y=4x−1 is a function.

To show that a relation is a function, we need to make sure that for every x-value, there is only one y-value. In other words, we can’t have different y-values for the same x-value.

To check this, we can use the vertical line test. If we draw a vertical line through the graph of the relation and it touches the graph at only one point for every x-value, then the relation is a function.

The graph of y=4x−1 is a straight line with a slope of 4, so no matter what x-value we choose, there will always be only one corresponding y-value. Therefore, the relation is a function.

Answer 2

yes - each x value is related to a unique y-value.

Answer 3

That is correct. Each x-value in the relation y=4x−1 is related to a unique y-value. Therefore, the relation is a function.