Question

Determine intervals when the graph is concave up or concave down

Answer 1

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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