Determining Concavity In Exercises 5-14, determine the open intervals on which the graph of the function is concave upward or concave downward.
To calculate: The open intervals for which the provided function is concave upwards or concave downwards.
The function .
For a function f that is twice differentiable on an open interval I:
If for all x in I, the function f is concave upwards on I and if for all x in I, the function f is concave downwards on I.
The provided function is continuous on the whole real number line.
Now differentiate the provided function twice.
Now equate the second derivative to zero to obtain the inflection point.
This gives rise to three intervals
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