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here is the graph of parent function: |dw:1444411348083:dw| y=3x^3 is just more impetuous, but the for this problem it doesn't matter.
as \[x-> +oo\] what does f(x) do?
What happens in the function (at the y axis) when the x axis goes to infinity?|dw:1444411686266:dw|
this function doesn't have any asymptotes. as you see the function increases without bound, as x increases. so when x -> oo, the function -> oo and as x-> -oo, the f(x) -> -oo.
if it was A, your function will look like this: |dw:1444411855361:dw|
A says as x approaches to +oo then f(x) approaches -oo, is this statement true according to the graph?
your graph should be |dw:1444411935971:dw|
Ohhh ok so what would the graph look like for B?
C is similar to B
So then it would be D?
yep. in D the function increases without bound as x increases and decreases as x decrease.
Ok thanks so much!
nope :) lets wait to see what @Zale101 types. :)
I was just wanted to ask vera what she thinks the y value approaches when x approaches positive infinity.
referring to the parent function of course
ok. that's ok. :) thanks for helping me and correcting my drawings :)
No, i was not correcting your draws but adding important symbols to make the graph look understandable, we also forgot to label the x and y axis.
You are a great helper ksanka. Keep it up!
yeah, we did forget. anyway thanks! and thanks again! :)