Question

determine if the relation y = 4x - 1 is a function by first graphing the relation, then applying the vertical line test.

Answer 1

To graph the relation y = 4x - 1, we can start by creating a table of values:

x | y
--------
-2 | -9
-1 | -5
0 | -1
1 | 3
2 | 7

Plotting these points on a graph, we get a straight line with a slope of 4 and a y-intercept of -1.

Now, to determine if the relation is a function, we can apply the vertical line test. This test involves drawing vertical lines through the graph. If any vertical line intersects the graph at more than one point, then the relation is not a function.

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