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 graph the relation y=4x-1, we can start by plotting a few points.

Let's choose x-values of -2, -1, 0, 1, and 2:

When x = -2, y = 4(-2) - 1 = -9
When x = -1, y = 4(-1) - 1 = -5
When x = 0, y = 4(0) - 1 = -1
When x = 1, y = 4(1) - 1 = 3
When x = 2, y = 4(2) - 1 = 7

The points we have plotted are (-2, -9), (-1, -5), (0, -1), (1, 3), and (2, 7).

Now, if we graph these points, we can see that they form a straight line:

-9 |
-5 |
-1 |
3 |
7 ────────────────
-2 -1 0 1 2

This graph shows that for every x-value, there is a unique y-value. There are no vertical lines that intersect the graph at more than one point. Therefore, the relation y=4x-1 is a function.

So we would enter 1 to indicate that the relation is a function.

Answer 2

are you sure

Answer 3

Yes, I am sure that the relation y=4x-1 is a function. The graph of the equation is a straight line, and it passes the vertical line test. This means that for every x-value, there is only one corresponding y-value, indicating that the relation is a function.