Determine Where the Function Is Increasing and Where It Is $$f ( x ) = x ^ { 2 } - 4 x + 3$$

question 22

Multiple Choice

Determine where the function is increasing and where it is decreasing.
- $$f ( x ) = x ^ { 2 } - 4 x + 3$$

• A) increasing on \(( - 1 , \infty )\)
• decreasing on \(( - \infty , - 1 )\)
• B) increasing on \(( - \infty , - 1 )\)
• decreasing on \(( - 1 , \infty )\)
• C) increasing on \(( - \infty , 2 )\)
• decreasing on \(( 2 , \infty )\)
• D) increasing on \(( 2 , \infty )\)
• decreasing on \(( - \infty , 2 )\)

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Definitions:

Cerebellar Hemispheres

The two symmetrical halves of the cerebellum that play crucial roles in motor control and coordination.

Limbs

The arms and legs of a human or the analogous appendages in other animals, used for movement and manipulation.

Digits

The numbers from 0 to 9 used in counting and calculations, and also refer to the fingers and toes in humans.

Movement

The action or process of moving or being moved, pertinent to physical processes and mechanics within biological systems.