Determine the domain and range of the polynomial function
![Determine the domain and range of the polynomial function class=](https://us-static.z-dn.net/files/df4/4ecf09a9d068e42e5652db60eb08a292.jpeg)
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Answer:
(b) domain: all reals; range: y ≤ 6
Step-by-step 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.