Sketch the graph of a single function at) over the interval that satises all of the following conditions. Find critical numbers for f'(m) and f\" (:13) and show sign charts for both functions. Indicate the intervals where at) is increasing, decreasing, concave up and concave down. Label all local maxima, local minima, and inection points. Show asymptotes using dashed lines. (i) x) is dened and continuous for all values of a: on the interval [0, 271']. k (ii) f'(m) = 1 + 2 cos 93 (iii) f\"(:c) = 2 since (M f(0) = 0 (V) n) ca 3.1 (vi) f(27r) $5 6.3