Answer
The intercepts are (-4, 0), (0, 0), and (4, 0). The graph is symmetric with respect to the origin.
Work Step by Step
From the given graph, we can identify that the intercepts are (- 4, 0) (0, 0) and (4, 0). The x- intercepts are - 4 and 4. The x-intercepts have y coordinates equal to 0.
If a graph is symmetric with respect to the origin and if the point (x, y) is on the graph, then the point (-x, -y) is on the graph. Also if the point (-x, y) is on the graph, then the point (x, -y) is also on the graph. The given graph is symmetric with respect to the origin.