The graph is concave has two curved part as follows;
- The graph is concave up between;(0, 1), and (1, 0)
- The graph is concave down between; (0, 1), and (-a, 2)
How can the direction of concavity be found?
The direction the concave part of the graph faces is given as follows;
The graph is concave up when the concave part faces up
It is concave down when the concave part faces down
From the given diagram, we have;
The graph is concave up between;
(0, 1), and (1, 0)
The graph is concave down between; (0, 1), and (-a, 2)
Where a is in the range; 1 < a < 2
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