For what value of the constant $c$ is the function $f$ continuous on $( - \infty , \infty )$ ?
$$f ( x ) = \left\{ \begin{array} { l l l }
c x + 5 & \text { for } & x \leq 2 \
c x ^ { 2 } - 5 & \text { for } & x 2
\end{array} \right.$$

Question

For what value of the constant $c$ is the function $f$ continuous on $( - \infty , \infty )$ ?
$$f ( x ) = \left\{ \begin{array} { l l l } 
c x + 5 & \text { for } & x \leq 2 \
c x ^ { 2 } - 5 & \text { for } & x > 2
\end{array} \right.$$

Quizplus · Accepted Answer

The Answer of For what value of the constant $c$ is the function $f$ continuous on $( - \infty , \infty )$ ?
$$f ( x ) = \left\{ \begin{array} { l l l } 
c x + 5 & \text { for } & x \leq 2 \
c x ^ { 2 } - 5 & \text { for } & x > 2
\end{array} \right.$$

For What Value of the Constant ccc Is the Function fff Continuous On

For What Value of the Constant $c$ Is the Function $f$ Continuous On