What is the end behavior of f(x)= -4x^6+6x^2-52

End behavior is the direction the line points at both end of the graph, the end behavior for your question is : same end behavior because the leading term has the power of 6 the line both point downwards because the leading term(-4) is negative, if the leading term is positive then the lines would point upwardif the leading term has an odd power like 3 or 5 it would be opposite end behavior

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