$x = k$

Definition

In this context, $x = k$ represents a specific value of $x$ where we want to analyze what happens in relation to the given conditions.

Related terms

Domain: The domain of a function consists of all possible input values (usually represented by $x$) for which the function is defined.

Range: The range of a function consists of all possible output values (usually represented by $y$) that can be obtained from plugging in different inputs.

Critical value: A critical value occurs when either the first derivative equals zero or does not exist. These points are important for analyzing functions and finding extrema or inflection points.