Question

Based on our knowledge from pre-calculus, we know that if a rational function has a non-removable infinite discontinuity, graphically a ______exists.

Answer 1

I put "vertical asymptote" not sure that is what goes in that blank

Answer 2

Would appreciate any input

Answer 3

I have one more statement I also, need help with.
This continues on to say:
Since y-values do not approach one specific value from both sides at a ______, then the limit does not exist. However, we can determine if the one sided limits approach negative infinity or infinity. In order to do this analytically, we will marry the numerical, graphical, and algebraic approaches.

Answer 4

I put "time"

Answer 5

"vertical asymptote" is correct

if you had a removable discontinuity, then you'd have a hole instead

Answer 6

what do you think of my second blank, I wrote "time"

Answer 7

That one seems strangely worded. Let me think for a second.

Answer 8

I guess at a time is correct!

Answer 9

Honestly, I would word it as "from both sides at the non-removable discontinuity", but maybe they are looking for "time".

Answer 10

I can add that to the document. You are correct, it does not flow.....

Answer 11

Thanks :)