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Have you graphed them?
The 6 in the second graphs "pushes" the graph upwards. the 5 in 5/x reduces the "steepness" of the graph of 1/x. Does that make sense? This might help - http://www.wolframalpha.com/input/?i=plot+y%3D1%2Fx+%2Cy%3D5%2Fx%2B6 Look what happens in an extreme case when instead of 5/x we use 50/x - http://www.wolframalpha.com/input/?i=plot+y%3D1%2Fx+%2Cy%3D50%2Fx%2B6 The slope of 1/x looks almost like a "corner" now.
sorry about that, went afk, the question doesn't have them nor ask for them to be graphed
I suppose I need to
It's ALWAYS a good practice to do that. You will gain much more insight, even if the question is not asked.
looking at them from your link, what's the difference i'm supposed to be seeing?
You see that the one with the 1/x term is much more like a "corner" than the 5/x term. When we use something like 50/x instead of 5/x, you see this effect even better. When you add a constant to an equation, it's like putting it on a ladder -- it lifts up the equation.
I got a 2/3 on this question for saying "These graphs combare by 5/x stretching out the graph five times more and the 6 makes it reach 6 unites higher while the other equation only stretches by 1 and nothing more." what did I do wrong?
sorry to cut you off there, I see what you mean
I also said combare instead of compare
The graph y = 5/x + 6 has a smaller slope and is offset upward by 6 units compared to the y=1/x
medal and fanned :)
Hopefully this makes sense