Respuesta :
The end behavior of h(x)= (-5[tex]x^{4}[/tex] + 13x ) / x³ is both ends will point in the negative direction.
What is end behavior of function?
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
We have h(x)= (-5[tex]x^{4}[/tex] + 13x ) / x³
The leading term of this polynomial is -5[tex]x^{4}[/tex] (it has the highest degree) where the degree is 4 (even) and the leading coefficient is -5 [it is negative.
Since, this function is even, and the leading coefficient is negative, both ends will point in the negative direction.
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