Given the function f(x)=xel-2x²: a) Determine lim xe- and lim xe-2x² 24 X b) Determine all extrema of the function f. Classify the extrema into relative and/or absolute. Show all details of your analysis and summarize your results in a table of variation. Note that the graph of the function is not required.

The relation is NOT a function Provide the equation(s) of all vertical line(s) that violate the vertical line test. Submit Question

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Consider the function f(x)=x^5 - 5x^4 a. Find where the function is increasing and decreasing.   b. List any relative extrema as ordered pairs. Label as max/min.