Question

Use interval notation to write the intervals over which f is a) increasing, b)

decreasing, and c) constant.
-5-4-3-2-1
S
f
3+
CN
1+
-1-
-2+
-3+
-4-
-5+
1 2 3 4 5 X

Answer 1

Answer: (a) From the graph, we can see that the function f is increasing on the interval [-5, -1), (-2, 2), and (3, 5]. Therefore, we can write the increasing intervals in interval notation as:

[-5, -1) ∪ (-2, 2) ∪ (3, 5]

(b) From the graph, we can see that the function f is decreasing on the interval (-1, 1) and (2, 3]. Therefore, we can write the decreasing intervals in interval notation as:

(-1, 1) ∪ (2, 3]

(c) From the graph, we can see that the function f is constant on the interval [-4, -3]. Therefore, we can write the constant interval in interval notation as:

[-4, -3]

Explanation: