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Since this is an odd power function with a negative leading coefficient, as x approaches infinity y approaches negative infinity and as x approaches negative infinity y approaches positive infinity.

Answer:  Then, the end behavior of f(x) would be

f(x) → ∞ as x → - ∞ and, f(x) → -∞ as x → +∞

Step-by-step explanation:

Since we have given that

\(f(x)=-2(x-2)^5\)

Since the degree of polynomial is 5 , which is odd.

And the leading coefficient is -2, which is negative.

Then, the end behavior of f(x) would be

f(x) → ∞ as x → - ∞

and,

f(x) → -∞ as x → +∞

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