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Determine the domain and range of the polynomial function

Determine the domain and range of the polynomial function-example-1
User Chitza
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1 Answer

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13 votes

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Answer:

(b) domain: all reals; range: y ≤ 6

Explanation:

The domain of any polynomial function is always "all real numbers." There are no values of the variable for which a polynomial is undefined.

The range of a polynomial will depend on its degree and the sign of the leading coefficient. Here, the degree is even, so the range has a limit. The leading coefficient is negative, so that limit is a maximum.

Only one answer choice has these characteristics:

domain: all real numbers; range: y ≤ 6

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The graph confirms this choice of range.

Determine the domain and range of the polynomial function-example-1
User Oleg Matei
by
3.1k points