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

question 55

Multiple Choice

Find the intervals on which the function is increasing and the intervals on which the function is decreasing.
- $$f ( x ) = 2 x ^ { 2 } + 8 x + 6$$

• A) Increasing on \(( - 4 , \infty )\); decreasing on \(( - \infty , - 4 )\)
• B) Increasing on \(( 8 , \infty )\); decreasing on \(( - \infty , 8 )\)
• C) Increasing on \(( 2 , \infty )\); decreasing on \(( - \infty , 2 )\)
• D) Increasing on \(( - 2 , \infty )\); decreasing on \(( - \infty , - 2 )\)

---

Definitions:

Medial Branches

Nerves that branch off from the spinal nerves and provide sensation to the facet joints in the spine.

Lateral Branches

Branches that grow out from the sides of a stem or tree, extending horizontally rather than vertically.

Thigh

The part of the lower limb between the hip and the knee.

Intercostal Veins

Veins located between the ribs that drain blood from the chest wall and muscles back to the heart.