Question

for what value of the constant c is the function f
continuous on (−infinity,infinity) where
f (s) =
s^2−c if s (−infinity,2)
cs+5 if s 2 [2,infinity)
Please help

Answer 1

c= -1/3

Answer 2

if yo want it to be continuous then the two equations of the piece wise has to equal each other at 2. set the two equal and substitute 2 in for s

Answer 3

i did that and got it, thank youuu!

Answer 4

your welcome :)