What is the end behavior of h(x)=-5x^4+13x/x^3
1 answer:
The end behavior of h(x)= (-5 + 13x ) / x³ is both ends will point in the negative direction.
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 + 13x ) / x³
The leading term of this polynomial is -5 (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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The Solution.
Representing the problem in a diagram, we have
By formula,
In this case,
Substituting these values in the formula above, we get
Clearing the bracket, we get
Dividing both sides by 2, we get
Therefore, the correct answer is option C.
