Determine that the relation y = 4x - 1 is a function by first graphing the relation then applying the vertical line test enter one if the relation is a function and are two if the relation is not a function

Answer 1

First, we need to graph the relation y = 4x - 1.

To graph the equation, we plot a few points and draw a line through them.

When x = 0, y = 4(0) - 1 = -1. So one point on the graph is (0, -1).

When x = 1, y = 4(1) - 1 = 3. So another point on the graph is (1, 3).

When x = -1, y = 4(-1) - 1 = -5. So another point on the graph is (-1, -5).

Now, we can plot these points and draw a line through them.

The graph of y = 4x - 1 is a straight line that passes through the points (0, -1), (1, 3), and (-1, -5).

Next, we can apply the vertical line test. This test states that if any vertical line intersects the graph of the relation in more than one point, then the relation is not a function.

In this case, any vertical line we draw intersects the graph at only one point. Therefore, the relation y = 4x - 1 is a function.

The relation is a function.