QuestionFind the value of $c$ that makes the function $f$ continuous for all $s$ where $f(s)=\{c s+5 \text{ if } s \leq 4, c(s)^{2}-5 \text{ if } s>4\}$.

Studdy Solution
Finally, divide both sides by $-12$ to find the value of $c$.
$$c = \frac{-10}{-12} = \frac{5}{6}$$For the function $f(s)$ to be continuous on $(-\infty, \infty)$, the constant $c$ must be $\frac{5}{6}$.