QUESTION G

For the function 2x f (x) = x2 + 1 Note that the second derivative is 4x (x2 - 3) f " ( x ) = ( x 2 + 1) 3 Show ALL your work for each part below: A. (2 pts) Find the domain of f. B. (4 pts) Find the x and y intercepts of f. C. (4 pts) Find any vertical, horizontal, or slant asymptotes. D. (6 pts) Find the intervals where f is increasing/decreasing. E. (6pts) Find the intervals where f is concave up/down F. (3) Graph the function using steps. A -E above (remember that a graphing calculator is not allowed). Include all labels on your graph: intercepts, asymptotes, local extrema, & inflection points