Question

PLEASE HELP ASAP

Determine the intervals for which each function is (a) increasing, (b) decreasing, and (c) constant

Answer 1

Answer: (a)Increasing: (-1,-6) to (0,6) (b)decreasing: (-6,-1) to (-4,-3) (c)constant: (-4,-3) to (-1,-6)

Hope this helps!

Answer 2

(a) (-∞, -6) ∪ (-1, 0)

(b) (-6, -4)

(c) (-4, -1) ∪ (0, ∞)

Explanation:

A function is increasing when the gradient is positive.

A function is decreasing when the gradient is negative.

A function is constant when the gradient is zero.

An arrow shows that the function continues indefinitely in that direction.

Use the x-values when describing the intervals.

Note: Use parentheses for the defined endpoints of the intervals as we cannot say if the function is increasing, decreasing or contestant at the defined points on the graph.

Part (a)

Intervals for which the function is increasing:

• (-∞, -6) ∪ (-1, 0)

Part (b)

Interval for which the function is decreasing:

• (-6, -4)

Part (c)

Intervals for which the function is constant:

• (-4, -1) ∪ (0, ∞)