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Describe the end behavior of the function f(x)=-x⁵+2x³-5

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Final answer:

The end behavior of the function f(x) = -x5 + 2x3 - 5 is that as x approaches negative infinity, the function approaches positive infinity, and as x approaches positive infinity, the function approaches negative infinity.

Step-by-step explanation:

The end behavior of a function can be determined by observing the leading term in the polynomial. The function f(x) = -x5 + 2x3 - 5 has a leading term of -x5. Since the exponent of x is odd, the function will have opposite end behavior as the leading term. This means that as x approaches negative infinity, the function will approach positive infinity, and as x approaches positive infinity, the function will approach negative infinity.

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