Given the functions shown below, find the open intervals where each function’s curve is concaving upward or downward. a. f ( x) = x x + 1 b. g ( x) = x x 2 − 1 c. h ( x) = 4 x 2 – 1 x 3. Given f ( x) = 2 x 4 – 4 x 3, find its points of inflection.

The following steps can be used as a guideline to determine the interval (s) over which a function is concave up or concave down: Compute the second derivative of the function. Set the second

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