Sketch the Graph of the Rational Function $y = \frac { x - 3 } { x + 3 }$

question 19

Multiple Choice

Sketch the graph of the rational function. Specify the intercepts and the asymptotes. $y = \frac { x - 3 } { x + 3 }$

• A) x-intercept: 3; y-intercept: - 1; vertical asymptote: x = - 3; horizontal asymptote: y = 1;
• B) x-intercept: 0; y-intercept: - 1; vertical asymptote: x = 3; horizontal asymptote: y = - 1;
• C) x-intercept: 3; y-intercept: 1; vertical asymptote: x = - 3; horizontal asymptote: y = - 1;
• D) x-intercept: 3; y-intercept: - 1; vertical asymptote: x = 3; horizontal asymptote: y = - 1;
• E) x-intercept: - 3; y-intercept: - 1; vertical asymptote: x = 3; horizontal asymptote: y = 1;

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Definitions:

Terminating

In the context of counseling or therapy, this refers to the process of ending the therapeutic relationship in a deliberate, thoughtful, and often planned manner.

Concomitant Variation

This is a method of establishing a correlational relationship between two variables by observing how changes in one variable coincide with changes in another.

Intervention

Actions taken to improve a situation, especially in social, medical, or psychological contexts, often with professional support.

Observed Change

Alterations or transformations that have been noticed and documented over time in a particular system, entity, or environment.