Is this a polynomial function? (picture attached below)
(A) This is not a polynomial. There are two vertical asymptotes that restrict the domain. (B) Yes, this graph represents a polynomial. There are two turning points and the least degree possible is two. (C) Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three. (D) This is not a polynomial. There are no turning points and the curve is always decreasing.
vertical asymptotes tell you that there are factors in the denominator of a function expression : \[f(x) = \dfrac{x^5}{(x-2)(x+2)(x-\cdots)}\]
does that look like a polynomial expression to you ?
it does not @ganeshie8
good, in light of that observation what options can you eliminate ?
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