Did I do this correct?
determine the values of c such that the function f is continuous on the entire real line
f(x)={x+3 if x less than or equal to 2
cx+6 if x>2
lim x->2+ cx+6=2c+6
lim x->2- x+3=5
2c+6=5
-6 -6
2c/2=-1/2
c=-1/2
Did I do this correct?
determine the values of c such that the function f is continuous on the entire real line
f(x)={x+3 if x less than or equal to 2
cx+6 if x>2
lim x->2+ cx+6=2c+6
lim x->2- x+3=5
2c+6=5
-6 -6
2c/2=-1/2
c=-1/2