Question

Jennifer was graphing a function and noticed that at certain points, the graph reaches invisible lines the graph will never cross. Explain to Jennifer what the two types of invisible lines are and how to predict them. You may create your own example to aid in your reasoning. Use complete sentences.

Answer 1

OK. Since you just want to be put on the right path, what you are looking at here are functions that 'tend to' a value. Sometimes also called a Mathematical singularity. A classic example is y = 1/x. This tends to 0, but ever reaches 0, so x = 0 is it's 'invisible line'.

Answer 2

Wait, you stole that from yahoo answers. ew.

Answer 3

did he really? lolol that's too funny

Answer 4

Ahh asymptotes...they are the invisible lines in a graph that you see the function never truely passes through

We have horizontal, vertical, and slant asymptotes.

to find a vertical asymptote...we need a fraction...and we need to see when the denominator = 0 why? because we cannot divide by a 0..it is undefined...

To find a horizontal asymptote...we see what the function will equal when we let 'x' or whatever the variable is...approach infinity

To find a slant asymptote..we again need a fraction...and we need to do the long division of the function and see what the leftover will be

*btw...if we have a vertical AND horizontal asymptote...there will be no slant...we never have all 3...only 2 at a time*

Answer 5

THANK YOU!:) & yep haha i already saw that on yahoo. totally annoying & lame. @zepdrix

Answer 6

haha wow....and yeah anytime @kendallnicole :)

Answer 7

haha and your pic is off google images tou·ché

Answer 8

are you stupid?

Answer 9

ohhh snap :x

Answer 10

you're pathetic. why the heck would i steal MY OWN picture. you're disgusting.

Answer 11

#Fake

Answer 12

Still not as fake as your answer @david111

Answer 13

Burnnn XD @dking167

Answer 14

lmaooo