Answer
a) There are no intercepts.
b) The graph is only symmetric with respect to the $x$-axis.
Work Step by Step
a) The intercepts can be found at the intersection of the blue graph and the axes. Here, the graph intersects neither of the axes. There are no intercepts.
b) If a graph is symmetric with respect to the x-axis then if the point $(x,y)$ is on the graph, then $(x,-y)$ is also on the graph; the graph is symmetric with respect to the x-axis.
If a graph is symmetric with respect to the y-axis then if the point $(x,y)$ is on the graph, then $(-x,y)$ is also on the graph; the graph is not symmetric with respect to the y-axis.
If a graph is symmetric with respect to the origin then if the point $(x,y)$ is on the graph, then $(-x,-y)$ is also on the graph; the graph is not symmetric with respect to the origin.
