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
(type your answer in interval notation.)

Explanation:

Step1: Determine the domain from the x - values

The domain of a function is the set of all possible x - values. Looking at the graph, the left - most x - value (where the function starts) is \(x=-1\) and the right - most x - value (where the function ends) is \(x = 3\).

Step2: Write the domain in interval notation

In interval notation, if \(a\) and \(b\) are the endpoints of an interval and the function includes the endpoints (as indicated by the solid dots on the graph), the interval is written as \([a,b]\). Here, \(a=-1\) and \(b = 3\).

Answer:

\([-1,3]\)