Question

For what value of the constant c is the function ƒ continuous on (-∞,∞) where

ƒ(y)= {cy +3 if y (-∞, 3]
{cy^2 -3 if (3,∞)

?

Answer 1

for f(y) to be continuous
f(3) = c(3^2) -3
3c +3 = 9c -3
6c = 6
c = 1

Answer 2

thanks!!