Graph Behavior

Question 1

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

Answer 1

Concave up

Question 2

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

Answer 2

Concave down

Question 3

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

Answer 3

It is increasing and concave up

Question 4

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

Answer 4

It is increasing and concave down

Question 5

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

Answer 5

It is decreasing and concave up

Question 6

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

Answer 6

It is decreasing and concave down