Question

For what value of the constant c is the function f continuous on ( -\infty , \infty ) where f( s ) = \begin{cases} c s + 8 & \text{ if } s \in (-\infty, 5] \quad \quad \\ c { s }^2 - 8 & \text{ if } s \in (5, \infty) \quad \quad \end{cases}

Answer 1

replace \(s\) by \(5\) in both expressions, set them equal, solve for \(c\)

Answer 2

thank you

Answer 3

it doesnt work