Solve the Problem $\mathrm { R } ( \mathrm { x } )$

question 17

Multiple Choice

Solve the problem.
-Determine which rational function $\mathrm { R } ( \mathrm { x } )$ has a graph that crosses the $x$ -axis at $- 1$ , touches the $x$ -axis at $- 4$ , has vertical asymptotes at $x = - 2$ and $x = 3$ , and has one horizontal asymptote at $y = - 2$ .

• A) \(R ( x ) = \frac { - 2 ( x + 1 ) ( x + 4 ) ^ { 2 } } { ( x + 2 ) ^ { 2 } ( x - 3 ) } , x \neq z - 2,3\)
• B) \(R ( x ) = \frac { - 2 ( x + 1 ) ( x + 4 ) } { ( x + 2 ) ( x - 3 ) } , x \neq - 2,3\)
• C) \(R ( x ) = \frac { - ( x + 1 ) ( x + 4 ) ^ { 2 } } { 2 ( x - 2 ) ^ { 2 } ( x + 3 ) } , x \neq 2 , - 3\)
• D) \(R ( x ) = \frac { - 2 ( x - 3 ) ( x + 2 ) ^ { 2 } } { ( x + 4 ) ^ { 2 } ( x + 1 ) } , x \neq - 4 , - 1\)

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Definitions:

Missense Mutation

A type of base-pair substitution mutation that causes one amino acid to be substituted for another in the resulting protein product. Compare with nonsense mutation.

Amino Acid

Organic compounds that serve as the building blocks of proteins, essential for various metabolic processes.

Protein

Large biomolecules composed of one or more long chains of amino acid residues, crucial for the structure, function, and regulation of the body's tissues and organs.

One Gene - One Enzyme Hypothesis

A concept that proposes that each gene encodes a single enzyme, which facilitates a specific biochemical reaction.