Question: The graph of a function is given to the right. Use the graph to find each of the following. a. The…

The graph of a function is given to the right. Use the graph to find each of the following. a. The domain and the range of the function; b. The intercepts, if any; c. The intervals on which the function is increasing, is decreasing, or is constant; d. Whether the function is even, odd, or neither.

a. What is the domain of the function? (Type your answer in interval notation.)

[Graph of a function with points (-3, -2), (2, 1), and (6, 1) marked on it.]

Solution

To determine the domain of the function from the graph provided: Observe the x-values that the graph covers. The graph starts at \( x = -3 \) and ends at \( x = 6 \). Since these are the endpoints of the graph, the domain of the function in interval notation is: \[ [-3, 6] \]