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What are the domain and range of the function f(x)=x4-2x2-4

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Answer:

domain: all real numbers

range: y ≥ -5

Explanation:

The domain of any polynomial function is "all real numbers."

This polynomial is of even degree and has a positive leading coefficient. It will have a minimum value, but no maximum. We can get an idea of the minimum value by looking at the vertex form.

f(x) = x^4 -2x^2 -4

f(x) = (x^4 -2x^2 +1) -5 = (x^2 -1)^2 -5

The squared term will have a minimum value of 0, so the minimum of f(x) is -5.

The range is all real numbers greater than or equal to -5.

What are the domain and range of the function f(x)=x4-2x2-4-example-1
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