Graph Behavior Flashcards

1
Q

When f’‘(x) > 0, is the graph concave up or concave down?

A

Concave up

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2
Q

When f’‘(x) < 0, is the graph concave up or concave down?

A

Concave down

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3
Q

f’(x) > 0 and f’‘(x) > 0. What does this say about the graph?

A

It is increasing and concave up

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4
Q

f’(x) > 0 and f’‘(x) < 0. What does this say about the graph?

A

It is increasing and concave down

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5
Q

f’(x) < 0 and f’‘(x) > 0. What does this say about the graph?

A

It is decreasing and concave up

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6
Q

f’(x) < 0 and f’‘(x) < 0. What does this say about the graph?

A

It is decreasing and concave down

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