SOLUTION: Is this continuous at x = 1 ? I do not understand this. Why would this or why would it not be continuous at x = 1 ? Thank you in advance for your expert knowledge and assista

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Is this continuous at x = 1 ? I do not understand this. Why would this or why would it not be continuous at x = 1 ? Thank you in advance for your expert knowledge and assista      Log On


   

Question 122529: Is this continuous at x = 1 ? I do not understand this. Why would this or why would it not be continuous at x = 1 ? Thank you in advance for your expert knowledge and assistance.

{2x if x ≤ 1}
F (x) =
{x2 + 1 if x > 1}

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
Before studyimg continuity, you must have worked on limits.
lim F(x)= lim x^2+1 = 2
x-->1+ x-->1+

lim F(x)= lim 2x = 2
x-->1- x-->1-

F(1)= 2(1)=2
then lim F(x)= lim F(x)= F(1) then F(x) is continuous at x=1
... x-->1+ ... x-->1-