Question

from the graph of the function, state the domain, the range, and the intervals on which the function is increasing, decreasing, or constant. complete parts (a) and (b). (a) the domain is -1,3. (type your answer in interval notation.) the range is 3,5. (type your answer in interval notation.) on what interval(s) is the function increasing? select the correct choice below and, if necessary, fill in the a a. the function is increasing on -1,1. (type your answer in interval notation. use a comma to separate answers as needed.) b. the function is never increasing. on what interval(s) is the function decreasing? select the correct choice below and, if necessary, fill in the a a. the function is decreasing on (type your answer in interval notation. use a comma to separate answers as needed.) b. the function is never decreasing.

Explanation:

Step1: Analyze the graph for decreasing interval

A function is decreasing when, as \(x\) increases, \(y\) decreases. Looking at the graph, after \(x = 1\) (within the domain \([-1,3]\)), as \(x\) moves from \(1\) to \(3\), the \(y -\) values of the function are decreasing.

Answer:

A. The function is decreasing on \([1,3]\)