Question

Find the value of the constant C that makes the following function continuous on (-infinity, +inf)

f(x)={cx+2 if x is in (-inf,2]
cx^2-2 if x i in (2, inf)

Answer 1

cx+2 = cx^2-2 at x = 2

2c+2 = 4c-2
2c = 4
c = 2