How do you describe the end behavior for #f(x)=x^4-x^2-2#?

Answer 1

#lim_(x to -oo)f(x)=oo# and #lim_(x to oo)f(x)=oo#.

If you haven't done limits yet you would note that this is an even degree polynomial (4th degree) and as x tends toward absolutely large values, either positive or negative, the value of the function grows without bounds.

Some people refer to this as "high to high."

If you've done limits you could say:

#lim_(x to -oo)f(x)=oo# and #lim_(x to oo)f(x)=oo#.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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