What is the domain and range of #f(x)=x^4-4x^3+4x^2+1#?

Answer 1
Since #f(x)# is well defined for all #x in RR#, #RR# is the domain. Based on the variable's name, #x#, I will assume that we are limited to #x in RR#.
That in #x^4# is the highest order term, guaranteeing that:
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Answer 2

The domain of ( f(x) = x^4 - 4x^3 + 4x^2 + 1 ) is all real numbers, since there are no restrictions on the values ( x ) can take.

The range of ( f(x) = x^4 - 4x^3 + 4x^2 + 1 ) depends on the behavior of the function. Since it's a quartic function, its range is all real numbers.

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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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