Question

On what interval(s) of x does f have positive concavity?

On what interval(s) of x does f have negative concavity?

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Answer 1

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Answer:

• positive concavity: none
• negative concavity: (-∞, ∞)

Explanation:

A parabola that opens downward has a second derivative that is negative everywhere. The interval of negative concavity is 'all real numbers', (-∞, ∞). There is no interval of positive concavity.