Question

For what value of the constant c is the function f continuous on (-infinity, infinity) for the equation f(x) = cx^2 + 2x if x < 2 and x^3 - cx if x> or = 2

Answer 1

Replace  x  by 2 in th 2 functions and soslve for c:_

4c + 4 = 8 - 2c

6c = 4

c = 2/3

Answer is c = 2/3