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:

Sedimentary Rock

Rock formed by the deposition of material at the Earth's surface and within bodies of water, characterized by distinct layers.

Sea Level

The average height of the ocean's surface between high and low tide, used as a reference point for measuring elevation or depth.

Calcium Carbonate

A chemical compound with the formula CaCO3, found in rocks such as limestone, chalk, and marble, and is the main component of shells of marine organisms.

Chalk Formation

A type of limestone characterized by its fine, white, porous structure, formed from the accumulation of microorganisms' calcite shells.