What is the end behavior of the function?

f(x)=−2x5+5x3−2x+12

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as x→−∞ , f(x)→

as x→∞ , f(x)→

Step-by-step explanation:

Since, the end behaviour of a polynomial f(x) depends upon the leading coefficient ( coefficient of higher degree variable ) and degree of the polynomial,

If the degree = even and leading coefficient = positive,

If the degree = even and leading coefficient = negative,

If the degree = odd and leading coefficient = positive,

If the degree = odd and leading coefficient = negative,

Here, the given polynomial,

Since, 5 = odd and -2 = negative,

Hence, the end behaviour of the polynomial,

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

answer: asdfghjkl,mnbv

step-by-step explanation: