Question

What is the end behavior of h(x)=-5x^4+13x/x^3

Answer 1

The end behavior of h(x)= (-5$x^{4}$ + 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$x^{4}$ + 13x ) / x³

The leading term of this polynomial is  -5$x^{4}$ (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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