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Mathematics 30 Online
OpenStudy (freemap):

Please help Me

OpenStudy (freemap):

What is the end behavior of the function?

OpenStudy (freemap):

A. As x decreases without bound, f(x) decreases without bound. As x increases without bound, f(x) approaches the line y = 0. B. As x decreases without bound, f(x) increases without bound. As x increases without bound, f(x) approaches the line y = 0. C. As x decreases without bound, f(x) approaches the line y = 0. As x increases without bound, f(x) decreases without bound. D. As x decreases without bound, f(x) approaches the line y = 0. As x increases without bound, f(x) increases without bound.

OpenStudy (freemap):

Would it be A?

jimthompson5910 (jim_thompson5910):

what's going on with the left half of this graph

jimthompson5910 (jim_thompson5910):

as we move to the left side more and more, what's going on with the y values?

OpenStudy (freemap):

There increasing

jimthompson5910 (jim_thompson5910):

so that's the same as saying `as x decreases without bound, y increases without bound` |dw:1445986363793:dw|

jimthompson5910 (jim_thompson5910):

now look at the right half and look at what is happening with the y values

OpenStudy (freemap):

They're decreasing

jimthompson5910 (jim_thompson5910):

decreasing without bound? ie decreasing without regard to any boundaries?

jimthompson5910 (jim_thompson5910):

or is it decreasing in a way where it's slowly approaching some line?

OpenStudy (freemap):

Decreasing in a way where it's slowly approaching some line

jimthompson5910 (jim_thompson5910):

yes, in this case, that line happens to be `y = 0` aka the x axis

OpenStudy (freemap):

so b

jimthompson5910 (jim_thompson5910):

yes it is b

OpenStudy (freemap):

Thank you so very much

jimthompson5910 (jim_thompson5910):

np

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