A Identify the Horizontal Asymptote (If Any) $$f ( x ) = \frac { x ^ { 2 } - 7 x ^ { 2 } + 1 } { 8 x + 7 }$$

question 103

Multiple Choice

a. Identify the horizontal asymptote (if any) .
b. If the graph of the function has a horizontal asymptote, determine the point where the graph crosses the
horizontal asymptote.
- $$f ( x ) = \frac { x ^ { 2 } - 7 x ^ { 2 } + 1 } { 8 x + 7 }$$

• A) a. \(y = \frac { 1 } { 8 }\)
• b. \(\left( \frac { 1 } { 7 } , \frac { 1 } { 8 } \right)\)
• B) a. \(y = 0\)
• b. \(\left( \frac { 1 } { 7 } , 0 \right)\)
• C) a. \(y = 1\)
• b. \(\left( \frac { 1 } { 7 } , 1 \right)\)
• D) a. No horizontal asymptote
• b. Not applicable

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Definitions:

Acid Chloride

Organic compounds belonging to the acyl chloride group, characterized by a carbon-oxygen double bond connected to a chlorine atom, used as intermediates in organic synthesis.

2° Amine

A type of amine where the nitrogen atom is attached to two alkyl or aryl groups and one hydrogen atom.

Compound

A compound is a substance formed when two or more chemical elements are chemically bonded together.

Organic Product

A compound resulting from an organic reaction, often characterized by carbon-based structures.