http://prntscr.com/49hwhz
Too bad there isn't a "sort of" choice.
i think its true
You couldn't find a y value for a 0 x if the x is in the denominator, because there is no defined value for the function when x = 0 in the denominator. So a table won't do you any good right AT where x = 0. Right before that point and right after that point is ok, but there IS no function where it is undefined.
Well, the problem is, you can easily make a table which has an entry for every vertical asymptote. And you know it blows up at a vertical asymptote. But it can blow up in four ways: going to + infinity on both sides, going to - infinity on both sides, going to + infinity on the left and - infinity on the right, and going to - infinity on the left and + infinity on the right. So it depends on what the item means by "what happens." Yeah it blows up. But you cannot generally tell how it blows up just by looking at the factors in the denominator unless you are some kind of Rainman.
That is not worded correctly what I wrote above. I meant to say that you can't find a y value for a function if the x in the denominator makes the function undefined. A table won't do you any good right AT the point where the function is undefined; right before or right after that point is fine, but not right where the x makes the function "illegal". So I would say no to your question. AT the point where the function is undefined, a table does you no good. I agree with @LarsEighner on this one!
so false?
I'd say false. But if it is machine graded and you cannot argue for your answer, you might as well toss a coin. As I said, pity "sort of" is not an option. Unfortunately, these items are written by educators, who are not always the brightest people in the world.
TRUE! @LarsEighner @IMStuck
:(
This is why real standardize tests are given to groups of test subjects. If an item has a high error rate, it is thorough scrutinized for ambiguity. But not every test that comes down the pike gets that kind of field testing.
Join our real-time social learning platform and learn together with your friends!