Question

describe the symmetry of these functions.

Explanation:

For the left - hand graph, if we fold it along the y - axis (the line x = 0), the two halves of the graph match exactly, so it has line symmetry about the y - axis. There is no center of rotation for which rotating the graph gives the same graph, so no rotational symmetry. For the right - hand graph, there is no line along which folding gives matching halves (no line symmetry) and no center of rotation for which rotating gives the same graph (no rotational symmetry).

Answer:

Left - hand graph: line symmetry only
Right - hand graph: no symmetry