Consider the Following Function $$f ( x ) = \left\{ \begin{array} { c c } 3 - x & x < - 1 \\x & - 1 \leq x < 3 \\( x - 3 ) ^ { 2 } & x \geq 3\end{array} \right.$$

question 24

Short Answer

Consider the following function. $$f ( x ) = \left\{ \begin{array} { c c } 3 - x & x < - 1 \\x & - 1 \leq x < 3 \\( x - 3 ) ^ { 2 } & x \geq 3\end{array} \right.$$
Determine the values of $a$ for which $\lim _ { x \rightarrow a } f ( x )$ exists.

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Definitions:

Negative Afterimages

Visual illusions that occur when looking away after staring at an image for a period, resulting in seeing a complementary color or shadow of the original.

Color Receptors

Photoreceptor cells in the retina of the eye responsible for detecting color.

Saturation

In a context, it refers to the stage where no additional information or responses are obtained from research participants; in color theory, it represents the intensity of a color.

Brightness

The perception of how light or dark a color appears; a subjective measure of the intensity of light.