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

question 51

Short Answer

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

Master the concept of rate to predict the outcomes in different scenarios.

Understand the principles of thermodynamics and their application to biological systems.

Identify the different types of energy relevant to biological processes.

Explain the concept of Gibbs free energy and its importance in chemical reactions.

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