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

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

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.