I have the following homework problem that I do not know how to approach.
Find c such that function defined piecewise is continuous
For what value of the constant c is the function f continuous on ( -∞, ∞)
f(x) = cx^2 + 2x if x<2
x^3 - cx if x ≥ 2
In the back of the book the answer is suppose to be 2/3. I would like advice on how to approach and solve this problem. Thanks