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Name the open intervals where the given function is concave up or concave down, and give coordinates of any points of inflection. Show the sign graph you used to make your conclusions. [3.4] x² 13) f(x)= +6 15) h(x)=√²- -sinx on the interval [0,27)

Answers 13) f is concave up on (-√2,√2), f is concave down on (-∞,-√2)U(√2,00), and f has points of inflection at at (-√2-1) and (√2.4) fsign graph 14) g is concave up on points of inflection at g" sign graph points of inflection at + h" sign graph -√2 (-.-)U(0,0), and (0,0) 4 128 27 POI 0 + POI 0 3 15) h is concave up on 0,1 Sm (25m² +32)√2 64 POI 0 POI 0 + POI 0 + (0,5)U(², 2). 5T 4 -√2 g is concave down on and. POI 0 h is concave down on 7% 7n (49m² +32)√2) 64 + (-0), and - 27 and g has 5x 7x 4 4 and h has