Y=4/x

The equation you provided is in the form of a hyperbola. The graph of this equation will consist of two branches that approach the x and y-axes but never touch them. To sketch the graph of y = 4/x, you can start by plotting a few points and then connect them to get an idea of the shape of the graph.

Here are some points you can plot:

• When x = 1, y = 4/1 = 4, so the point (1,4) is on the graph.
• When x = 2, y = 4/2 = 2, so the point (2,2) is on the graph.
• When x = -1, y = 4/-1 = -4, so the point (-1,-4) is on the graph.

By plotting these points and connecting them, you will get a rough sketch of the hyperbola. Remember that the graph will never actually touch the x or y-axes but will approach them as the values of x and y become very large.