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Find the Intervals on Which the Function Is Increasing and the Intervals

question 114

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Find the intervals on which the function is increasing and the intervals on which the function is decreasing.
- f(x) =12x22x72f ( x ) = \frac { 1 } { 2 } x ^ { 2 } - 2 x - \frac { 7 } { 2 }


Definitions:

Eyepiece

The lens or group of lenses in a telescope or microscope that is closest to the eye and through which the object is viewed.

Magnification

A process of enlarging the appearance of an object through optical instruments, like microscopes or telescopes, without altering its actual size.

Fine Adjustment Knob

The fine adjustment knob is part of a microscope used for making small adjustments to the focus, allowing for clearer visualization of the specimen at high magnifications.

High-Power Objective

A microscope lens typically with magnification of 40x to 100x, used for viewing fine details of a specimen.

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