Find the Absolute Extreme Values of the Function on the Interval

question 122

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$f ( x ) = \csc x , - \frac { \pi } { 2 } \leq x \leq \frac { 3 \pi } { 2 }$$

• A) absolute maximum is 0 at \(\mathrm { x } = - \pi\); absolute minimum is \(- 1\) at \(\mathrm { x } = \pi\)
• B) absolute maximum does not exist; absolute minimum does not exist
• C) absolute maximum is \(- 1\) at \(x = \pi\); absolute minimum is 1 at \(x = 0\)
• D) absolute maximum is 1 at \(x = \pi\); absolute minimum is \(- 1\) at \(x = \pi\)

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Definitions:

Rods

Photoreceptor cells in the retina of the eye that are highly sensitive to light and enable vision in low light conditions.

Lens

A lens is a piece of transparent material, typically glass or plastic, that refracts or focuses light rays, used in devices like glasses, cameras, and telescopes to enhance vision or capture images.

Fovea

A small depression in the retina where visual acuity is highest.

Optic Disc

The region in the eye where the optic nerve connects to the retina; also known as the blind spot.