Chapter F - Foundations: A Prelude to Functions - Section F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry - F.2 Assess Your Understanding - Page 17: 38

a) The intercept of $y$-axis is at $(0,1)$. b) The graph is not symmetric with respect to the $x$-axis, $y$-axis nor the origin.

a) The intercepts can be found at the intersection of the blue graph and the axes. Here, the graph only intersects the y-axis, the intercepts is at: $(0,1)$ 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 not 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.