How do you determine intervals on which the function is concave up or down and find the points of inflection for $y=(x^2-7)e^x$ ?

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Answer 1 · 2015-04-13T21:32:20

Have a look:
enter image source here

And you can even check the graph:

graph{(x^2-7)e^x [-16.01, 16.04, -7.98, 8.05]}

How do you determine intervals on which the function is concave up or down and find the points of inflection for y=(x^2-7)e^xy=(x^2-7)e^x?