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Analyze and sketch the graph of f(x ) = 2x5 - 4x4 Include the following in your answer: 1. Find the x and y intercepts
Analyze and sketch the graph of f(x ) = 2x5 - 4x4 Include the following in your answer: 1. Find the x and y intercepts 2. Find the critical points and MAKE A CHART to determine on which intervals the function is increasing and decreasing. Then classify each critical point as a relative maximum, relative minimum or neither. Make sure to find the y-coordinate for each relative extrema. 3. Use the second derivative to determine the concavity of the graph and also find any points of inflection. Make sure to find the y-coordinate of all inflection points. MAKE A CHART. 4. Use information from part a, b and c to sketch a graph of the function. EMPHASIZE CHANGES IN CONCAVITY. Plot the x and y intercepts, any relative maximums or minimums, and all inflection points. Plot all points with a description next to them. (Your graph must be big enough and clear enough to read and have clearly labeled axes to receive full credit.).Intervals (-00, - 1) (-1, 1/2) (1/2, 00) Test Value F"(TV) Sign of f"' (test value) Concave up/Concave down
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