Determine the domain and range of the polynomial function

Determine The Domain And Range Of The Polynomial Function class=

Sagot :

9514 1404 393

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.

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