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. the function is increasing on □. (type your answer in interval notation. use a comma to separate answers as needed.) ○ b. the function is never increasing.

Explanation:

Step1: Analyze the graph for increasing intervals

A function is increasing if as \(x\) increases, \(y\) also increases. Looking at the graph, from \(x = - 1\) to \(x = 1\), as \(x\) values increase, \(y\) values increase.

Step2: Express the interval in interval notation

The interval where \(x\) ranges from \(-1\) to \(1\) is written as \([-1,1]\) in interval notation.

Answer:

A. The function is increasing on \([-1,1]\)