  # Determine the open intervals on which the graph of the function is concave upward or concave downward. f(x) = x^2+9          _______          x2-9

Question

Determine the open intervals on which the graph of the function is concave upward or concave downward.

f(x) = x^2+9
_______
x2-9
check_circleExpert Solution
Step 1

Given information:

The given function is

Step 2

Concept Used:

1) Find the second order derivative of the given function.

2) Set second order derivative equal to zero and solve for x.

3) If f\'\'(x)>0 for x, then the graph of f is concave upward.

4) If f\'\'(x)<0 for x, then the graph of f is concave downward.

Step 3

Calculation:

First, we have to find the first order der...

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### Calculus 