Determine the X- and Y-Intercepts for the Given Function $$f ( x ) = 2 x ^ { 2 } + 8 x - 10$$

question 31

Multiple Choice

Determine the x- and y-intercepts for the given function.
- $$f ( x ) = 2 x ^ { 2 } + 8 x - 10$$

• A) \(x\)-intercept: \(( - 2,0 )\)
• \(y\)-intercept: \(( 0 , - 18 )\)
• B) \(x\)-intercept: none
• \(y\)-intercept: \(( 0 , - 10 )\)
• C) \(x\)-intercept: \(( - 2,0 )\)
• \(y\)-intercept: \(( 0,18 )\)
• D) \(x\)-intercepts: \(( - 5,0 )\) and \(( 1,0 )\)
• \(y\)-intercept: \(( 0 , - 10 )\)

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Definitions:

Profundal Zone

A deep zone in a body of water, such as a lake, where sunlight does not penetrate, affecting the types of organisms that can live there.

Limnetic Zone

The open surface waters in a lake, away from the shore, where sunlight penetrates, supporting planktonic and free-swimming aquatic life.

Lakes

Inland bodies of standing freshwater or, in some cases, saline water, usually larger than ponds and contained by land.

Eutrophic

A condition of water bodies, such as lakes and rivers, characterized by an abundant accumulation of nutrients that promote a proliferation of algae.