4 This problem concerns a function about which the following

Last updated: 4/7/2023

4 This problem concerns a function about which the following information is known f is a differentiable function defined at every real number a f 0 1 2 y f x has its graph given at center in Figure 3 1 17 24 A 1 Figure 3 1 17 At center a graph of y f r at left axes for plotting y f x at right axes for plotting y f x a Construct a first derivative sign chart for f Clearly identify all critical numbers of f where f is increasing and decreasing and where f has local extrema b On the right hand axes sketch an approximate graph of y f x c Construct a second derivative sign chart for f Clearly identify where fis concave up and concave down as well as all inflection points d On the left hand axes sketch a possible graph of y f x