Determine the intervals on which the given function is concave up or down and find the points of inflection. Let $$f(x) = \left(x^{2}-4\right)e^{x}$$

Inflection Point(s) =

The left-most interval is , and on this interval $f$ is ? Concave Down Concave Up .
The middle interval is , and on this interval $f$ is ? Concave Down Concave Up .
The right-most interval is , and on this interval $f$ is ? Concave Down Concave Up .