Question

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

Answer 1

The end behavior of the function f(x)=x^5-x^3+x^2 is as follows: as x approaches negative infinity, f(x) approaches negative infinity, and as x approaches positive infinity, f(x) approaches positive infinity.

Step-by-step explanation:

The end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient.

For the function f(x)=x^5-x^3+x^2, the degree of the polynomial is 5, and the leading coefficient is 1.

Since the degree is odd and the leading coefficient is positive, the end behavior of the function is as follows:

• As x approaches negative infinity, f(x) approaches negative infinity.
• As x approaches positive infinity, f(x) approaches positive infinity.

Answer 2

The graph of the function starts high and ends low.

Step-by-step explanation:

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