How do I graph this? Also how do identify which values of c for which
lim f(x) exist?
x -> c

Answer:
Step-by-step explanation:
Hello, I attached the graph.
This is a parabola, then a line and finally an horizontal line.
The vertex of the parabola is (0,0) and (2,4) is on the graph.
For the second part, draw a line which is passing by (2,4) and (0,4)
Finally, draw the line y = 4
You can see that f is continuous everywhere except in x = 4.
So, for any c real different from 4 the limit of f(x) exists.
Thank you