Find the Domain of the Function and Identify Any Vertical $$f ( x ) = \frac { 9 } { ( x - 3 ) ^ { 3 } }$$

question 72

Multiple Choice

Find the domain of the function and identify any vertical and horizontal asymptotes.​ $$f ( x ) = \frac { 9 } { ( x - 3 ) ^ { 3 } }$$ ​

• A)Domain: all real numbers x Vertical asymptote: x = 0
• Horizontal asymptote: y = 0
• B)Domain: all real numbers x except x = 9 Vertical asymptote: x = 0
• Horizontal asymptote: y = 0
• C)Domain: all real numbers x except x = 3 Vertical asymptote: x = 0
• Horizontal asymptote: y = 9
• D)Domain: all real numbers x Vertical asymptote: x = 0
• Horizontal asymptote: y = 9
• E)Domain: all real numbers x except x = 3 Vertical asymptote: x = 3
• Horizontal asymptote: y = 0

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Definitions:

Experimental Group

In a scientific study, this is the group that receives the treatment or intervention being tested, allowing researchers to observe its effects in comparison to a control group.

Control Group

In experiments, a group of subjects that does not receive the treatment being tested, used as a benchmark to measure the effects of the treatment on the experimental group.

Dependent Variable

In research, it is the variable that is being tested and measured, usually to see if it is affected by the independent variable.

Randomization

The process of making choices or selecting participants for a study randomly to eliminate bias and ensure impartiality.