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eduard
3 years ago
15

Describe the end behavior of the following function: F(x)=x^5-x^3+x^2

Mathematics
2 answers:
Andreyy893 years ago
6 0

Answer:The graph of the function starts high and ends low.

Step-by-step explanation:

gregori [183]3 years ago
5 0

Answer: The function has the end behavior f(x)\rightarrow -\infty  as x\rightarrow -\infty, f(x)\rightarrow +\infty  as x\rightarrow +\infty

Explanation:

Since,  The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.  And, if the function has  positive leading coefficient with odd degree then its end behavior is f(x)\rightarrow -\infty  as x\rightarrow -\infty, f(x)\rightarrow +\infty  as x\rightarrow +\infty

Here, The given function has positive leading coefficient with odd degree.


Therefore,  by the definition of end behavior of a function,

The function has the end behavior f(x)\rightarrow -\infty  as x\rightarrow -\infty

And, f(x)\rightarrow +\infty  as x\rightarrow +\infty



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