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Intervals (-00, - 1) (-1, 1/2) (1/2, 00) Test Value F(TV) Sign of f' (test value) Concave up/Concave downAnalyze and sketch the graph of at}
Intervals (-00, - 1) (-1, 1/2) (1/2, 00) Test Value F"(TV) Sign of f"' (test value) Concave up/Concave downAnalyze and sketch the graph of at} 2 0.25154 2533 (You can also write this as at} : if 2:133 1. Find the x and v intercepts. l[Show work} 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 nd the v-coordinate for each relative extrema. 3. Use the second derivative to determine the concavity of the graph and also nd any points of inflection. Make sure to nd the v-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 v intercepts, any relative maximums or minimums. and all inflection points. Plot all points with a description next to them. Partial Answers: min at (o, -108} and inflection points (0.0} andi4.-64)
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