Question

given the function y = -6/x, create a table of values to show at least eight ordered pairs that are on the graph.

Answer 1

Hello, Soniatonia! (Awesome name, by the by.)

When I have trouble interpreting the workings of a function, it has always helped me to graph the equation. When you see values going in and coming out of the problem, you begin to get a very clear picture as to how the function works.

In the attachment, you will see that I have plugged in values for x and tested them in the function to get unique values for y. I also put them in ordered pairs, and graphed every point so you can see how the function really looks! If you're having a bit of trouble explaining why the domain of the function is every real number except for x = 0, keep in mind that it is impossible to divide a value by 0, and look back at your equation. If x = 0, you're required to divide -6 into 0 groups, but you can't divide a value into 0 parts, and thus you come to the conclusion that the domain is all real numbers except for x = 0.

Also, please note that I did not give you all 8 ordered pairs. I think you can get the last 2 now, but if you can't, just tell me that you don't quite understand and I'll do my best to help ya.

In the meantime, rock on, be brave, and love math!

Answer 2

Quick edit: Function and equation are not interchangeable words, sorry 'bout that.