99. In Exercises 99 and 100, the graph of f' is given. Determine x-values corresponding to inflection points for the graph of f.

Each of Exercises 89–92 shows the graphs of the first and second derivatives of a function y=f(x). Copy the picture and add to it a sketch of the approximate graph of f, given that the graph passes through the point P.

103. A function f(x) has domain (-2, 2). The graph below is a plot of the derivative of f, not a plot of f itself. In other words, this is a graph of y = f'(x). Either use this graph to determine on which intervals the graph of f is concave up and on which intervals the graph of f is concave down, or explain why this information cannot be determined from the graph.

107. Marginal cost The accompanying graph shows the hypothetical cost c=f(x) of manufacturing x items. At approximately what production level does the marginal cost change from decreasing to increasing?

93. The accompanying figure shows a portion of the graph of a twice-differentiable function y=f(x). At each of the five labeled points, classify y' and \y'' as positive, negative, or zero.

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For the following graph, find the open intervals for which the function is concave up or concave down. Identify any inflection points.

For the following graph, find the open intervals for which the function is concave up or concave down. Identify any inflection points.

For the following graph, find the open intervals for which the function is concave up or concave down. Identify any inflection points.

The graph of $f^{\prime}\left(x\right)$is shown below. Use the graph to determine the intervals for which $f\left(x\right)$is concave up or concave down and the location of any inflection points.