Determine Where the Function Is Increasing and Where It Is $$g ( x ) = 6 x ^ { 2 } + 120 x + 564$$

question 272

Multiple Choice

Determine where the function is increasing and where it is decreasing.
- $$g ( x ) = 6 x ^ { 2 } + 120 x + 564$$

• A) increasing on \(( - \infty , - 10 )\)
• decreasing on \(( - 10 , \infty )\)
• B) decreasing on \(( - \infty , 10 )\)
• increasing on \(( 10 , \infty )\)
• C) decreasing on \(( - \infty , - 10 )\)
• increasing on \(( - 10 , \infty )\)
• D) increasing on \(( - \infty , - 60 )\)
• decreasing on \(( - 60 , \infty )\)

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Definitions:

Abbreviation

A shortened form of a word or phrase used for convenience, clarity, or brevity in written and spoken communication.

Gauge

An instrument or tool used to measure, test, or visually compare physical characteristics such as dimensions, thickness, or depth.

Spur Gears

Cylindrical gears with teeth projecting radially and having edges parallel to the axis, used to transmit motion between parallel shafts in machinery.

Pinion

A small gear that engages with a larger gear or rack, often used to convert rotational motion to linear motion or vice versa.