Question

Are the following functions continuous?

{ x^2-1, if x>-1
f(x)= { 0, if x=-1
{ 4-x, if x<-1

A. yes
B. no

{ 2x+1, if x ≤-1
f(x)= { -x^2, if x>-1

A. yes
B. no

pls help

Answer 1

AAAaannndd the bot gets it wrong yet again!

#1: no, since f(-1)=0 but lim(x→-1^-) = 5
#2: no, since f(-1)=1 but lim(x→-1^-) = 1

Answer 2

oops. #2 No, because the right limit = 1, not the left

Answer 3

A. Yes
B. Yes