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
Follow Math Help Forum on Facebook and Google+
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 $\displaystyle \lim_{x \to 3^+}f(x) = \lim_{x \to 3^-}f(x)$. so plug in x = 3 to both expressions, equate them and solve for c
View Tag Cloud