The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which point(s) is f discontinuous? Use a comma to separate multiple x-values.

A graph of a piecewise curvy function with 3 segments.
The graph of a piecewise curvy function with 3 segments. The first piece exists for all x less than 1. This segment passes through the points (-11, -7), (-8, 5), (-5, 2), (-2, 4), and (0, -7) then ends at an open circle at the point (1, -4). The second piece exists for x between 1 and 7. The segment starts with a closed circle at (1, -4) then passes through the points (2, -7) and (4, -1) then ends at an open circle at the point (7, -7). The third piece exists for all x greater than 7. The segment starts with a closed circle at (7, -1) then passes through the points (10, 7). The point (-5, 2) contains an open circle. The point (-5, -4) is also shown on the graph. The graph contains a kink or sharp corner at the point (1, -4).