Question

Determine the intervals on which the function is (a) increasing; (b) decreasing: (c) constant.

(a) The function is increasing on the interval(s)
(Use a comma to separate answers as needed. Type your answer in interval notation.)

Answer 1

(a) The function is increasing on the interval [-5, 2].

(b) The function is decreasing on the interval [4, 6].

(c) The function is constant on the interval [2, 4].

For any given function, y = f(x), if the output value is increasing when the input value is increased, then, the function is classified as an increasing function.

Conversely, if the output value is decreasing when the input value (domain) is increased, then, the function is referred to as a decreasing function.

By critically observing the graph of the given function shown in the image attached above, we can reasonably infer and logically deduce that it is increasing, decreasong, and constant over the following closed intervals:

Increasing = [-5, 2].

Decreasing = [4, 6].

Constant = [2, 4].