Functions Increasing and Decreasing

What is the decreasing interval for the function below?

What are the local maxima of this graph?

• local maximum at (2.2, 3.9)

• local maximum at (-8, 5)

• local maximum at (5, -8)⋃(3.9, 2.2)

• local maximum at (-8, 5)⋃(2.2, 3.9)

What are the extrema of the graph?

• Max = (2, -3), (1, 2)

  Min = (-3, -1), (-1, 4)

• Max = (-3, -1), (-1, 4)

  Min = (2, -3), (1, 2)

• Max = (-1, -3), (4, -1)

  Min = (-3, 2), (2, 1)

• Max = (-3, 2), (2, 1)

  Min = (-1, -3), (4, -1)

Identify the local minimum x-value

• x = 8

• x = 4

• x = 2

Which open interval is the function decreasing?

Which open interval is the function increasing?

A function is said to be increasing if the values of y_______ when we increase the x- values

If the derivative of a function is always positive, the function is always _____________

If the gradient of a function is equal to zero, then the function is neither increasing nor decreasing.

• True

• False

• Sometimes true

• sometimes false

• increasing function

• decreasing function

• neither increasing nor decreasing

• none of the above