Sketch the Graph of the Rational Function $y = \frac { 1 } { ( x + 1 ) ^ { 2 } }$

question 5

Multiple Choice

Sketch the graph of the rational function. Specify the intercepts and the asymptotes. $y = \frac { 1 } { ( x + 1 ) ^ { 2 } }$

• A) no x-intercepts; y-intercept: 1; no vertical asymptotes; horizontal asymptote: y = 0;
• B) no x-intercepts; y-intercept: 1; vertical asymptote: x = 1; horizontal asymptote: y = 0;
• C) no x-intercepts; y-intercept: 1; vertical asymptote: x = - 1; horizontal asymptote: y = 0;
• D) no x-intercepts; y-intercept: -1; vertical asymptote: x = 1; horizontal asymptote: y = 0;
• E) no x-intercepts; y-intercept: -1; no vertical asymptotes; horizontal asymptote: y = 0;

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Definitions:

Breach Of Contract

A situation where one party fails to fulfill their obligations under a contract.

Adequacy Of Consideration

The fairness of the value exchanged in a contract, though not necessarily equal in monetary terms.

Court

An institution established by the government to settle disputes through a legal process, providing a forum where evidence is presented and legal judgments are made.

Consideration

Something of value (such as goods, services, or money) that is exchanged between parties in a contract, making the agreement legally binding.