Answer
Given the function: f(x) = 2x^6 – 2x^2 – 5. To determine the end behavior of the graph, we must identify the degree and the leading coefficient of the function. The degree is the highest power of the variable, which in this case, the highest power of x is 6. Thus, we have: Degree = 6 (an even degree). The leading coefficient comes from the term with the highest power, which is 2x^6, giving us a leading coefficient of 2 (a positive value). For a function with an even degree and a positive leading coefficient, the end behavior is as follows: as x approaches ‚àû, f(x) approaches +‚àû, and as x approaches -‚àû, f(x) also approaches +‚àû.
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