Interactive-12Adv-Increasing & Decreasing curves

What defines a stationary point on the graph of y = f(x)?

• The tangent is vertical.

• The gradient f'(x) = 0.

• The function is always increasing.

• The function is always decreasing.

What does it mean if the first derivative of a function, f'(x), is less than 0?

• The graph of y = f(x) is increasing.

• The graph of y = f(x) is decreasing.

• The graph of y = f(x) has a stationary point.

• The graph of y = f(x) is monotonic increasing.

• x > 4

• x < 4

• x = 4

• x > -4

• x = 6, x = 2

• x = 0, x = 1

• x = 2, x = 3

• x = -3, x = 6

• y = 284, y = 38.7

• y = 174 y = 94.6

• y = 64.8, y = 164.8

• y = 36, y = -846

What condition must the first derivative of a function satisfy for a stationary point to exist?

• f'(x) > 0

• f'(x) < 0

• f'(x) = 0

• f''(x) = 0