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

The intervals of the function in which it is increasing, decreasing and constant are given as follows:

a) Increasing: $x \in \left[-4.5, 2\right]$.

b) Decreasing: $x \in \left[4,6\right]$.

c) Constant: $x \in \left[2,4\right]$.

When a function is increasing?

A function is increasing when the graph of the function is pointing upwards, hence this function is increasing on the interval $x \in \left[-4.5, 2\right]$.

When a function is decreasing?

A function is increasing when the graph of the function is pointing downwards, hence this function is decreasing on the interval $x \in \left[4, 6\right]$.

When a function is constant?

A function is constant when it is graph is a line without inclination, hence this function is constant n the interval $x \in \left[2, 4\right]$.

More can be learned about functions at https://brainly.com/question/1503051

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