Help with functions? Please?

Nov 2009
87
0
Determine whether f is continuous at x = c in the function given below. Use the 3 conditions of continuity to justify your answer.

f(x) = :
(x - 1, if x < 2),
(2, if x = 2),
(2x, if x > 2)


Any help is appreciated. :)
 

pickslides

MHF Helper
Sep 2008
5,237
1,625
Melbourne
Determine whether f is continuous at x = c in the function given below. Use the 3 conditions of continuity to justify your answer.

f(x) = :
(x - 1, if x < 2),
(2, if x = 2),
(2x, if x > 2)


Any help is appreciated. :)
Given the question I would say \(\displaystyle c\in \mathbb{R} /\{2\}\)

You really need to graph this function. Have you done this?
 
Nov 2009
87
0
Yes, I actually just figured out how to do it, and I got the right answer.
Thank you for replying. :)