Which graph shows the same end behavior as the graph of *f*(*x*) = 2*x*6 – 2*x*2 – 5?

To determine which graph shows the same end behavior as the function \( f(x) = 2x^6 - 2x^2 - 5 \), we need to analyze the dominant term in the polynomial because it dictates the end behavior.

### Key Points:

1. **Degree of the Polynomial**:  
   The function \( f(x) = 2x^6 - 2x^2 - 5 \) is a polynomial of degree 6. The highest degree term is \( 2x^6 \).

2. **Leading Term and End Behavior**:  
   The leading term \( 2x^6 \) dominates the end behavior of the function as \( x \) becomes very large

Explore the end behavior of the polynomial function f(x) = 2x^6 - 2x^2 - 5. Learn how to determine which graph exhibits similar end behavior based on the dominant term in the polynomial. Suitable for advanced high school students and college-level learners.

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