1. ## continous function question

For what value of the constant c is the function f continous on (-infinite, infinite)?

f(x) = cx + 1 if x less than or equal to 3
f(x) = cx^2-1 if x greater than 3

2. Originally Posted by cityismine
For what value of the constant c is the function f continous on (-infinite, infinite)?

f(x) = cx + 1 if x less than or equal to 3
f(x) = cx^2-1 if x greater than 3
you want to make sure that $\lim_{x \to 3^+}f(x) = \lim_{x \to 3^-}f(x)$.

so plug in x = 3 to both expressions, equate them and solve for c