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Vertical Asymptotes of Rational Functions

Question 7 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Use the equation where p = pressure and V = volume.What happens to the pressure as the volume approaches 0? Explain your reasoning.

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Answer

Answer:

As the volume (V) approaches 0, the pressure (p) approaches infinity. This occurs because the variable V is in the denominator of the equation p = 8.31/V. As the denominator gets smaller and closer to 0, the overall value of the fraction increases without bound. Mathematically, there is a vertical asymptote at V = 0, and the function is undefined at that specific point since division by zero is impossible.

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