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, decreasing, or is constant. d. Whether the function is even, odd, or neither.

[Graph of a function with points (0, 0), (1, 1), and (2, 2) marked]

What is the range of the function? (-∞, 0) (Type your answer in interval notation.)

b. Determine the x- and y-intercept(s) of the function, if any. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) A. The x-intercepts of the function are. The y-intercepts of the function are. B. The function has no y-intercepts. The x-intercepts of the function are. C. The function has no x-intercepts. The y-intercepts of the function are. D. The function has no x- or y-intercepts.

Solution

The photo contains a math problem related to functions. Let’s address each part: 1. Range of the function: The graph seems to have a horizontal span from \(y = 0\) to \(y = 3\). Therefore, the range in interval notation is \([0, 3]\). 2. Intercepts: - X-intercept: This is where the graph crosses the x-axis. From the graph, it appears to have an x-intercept at \((2, 0)\). - Y-intercept: This is where the graph crosses the y-axis. It appears to cross the y-axis at \((0, 0.5)\). Based on these observations: - X-intercepts are at \(2\). - Y-intercepts are at \(0.5\). Choose the option that matches these values for the intercepts.