Question

For what value of the constant c is the function f continuous on (−, )?
f(x) =
cx2 + 2x if x < 3
x3 − cx if x ≥ 3

Answer 1

For what value of the constant c is the function f continuous on (−inf, inf )?
f(x) =
cx2 + 2x if x < 3
x3 − cx if x ≥ 3