The graph of a function f is given. (Enter your answers as comma-separated list.) The xy-coordinate plane is given. A function composed of 6 parts is on the graph.
• The first part is a curve that enter the window in the second quadrant, goes up and right becoming more steep, crosses the positive y-axis, and exits the window almost vertically just to the left of x = 1.
• The second part is a closed point that lies between the first and third parts in the first quadrant at x = 1.
• The third part is a curve that enters the window almost vertically just to the right of x = 1, goes down and right becoming less steep, and ends at an open point in the first quadrant at x = 3.
• The fourth part is a closed point that lies directly above the end of the third part in the first quadrant at x = 3.
• The fifth part is a line that starts at the open point where the third part ends at x = 3, goes up and right, and ends at a closed point in the first quadrant at x = 5.
• The sixth part is a line that starts at an open point directly above the end of the fifth part in the first quadrant at x = 5, goes horizontally right, and exits the windows in the first quadrant.
(a) At what numbers a does $\lim_{x \to a} f(x)$ not exist?
a = [ ] x
(b) At what numbers a is f not continuous?
a = 1,3,5
(c) At what numbers a does $\lim_{x \to a} f(x)$ exist but f is not continuous at a?
a = [ ] x
