Solve for c and what do you get?.
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
The function is defined as follows:
for .
We know that polynomials are continuous functions and thus we see that is piecewise continuous; that is, consists of two continuous functions.
Therefore it suffices to set in such a way that is also continuous at the critical point .
The rest is what galactus has shown.