Vertical Asymptotes of Rational Functions Answers
Identify the vertical asymptote(s) of each function. Check all of the boxes that apply.x = -8x = -2x = -1x = 1x = 2x = 8
x = -16x = -4x = 0x = 4x = 16
x = 0 [___]
hole
x = 2 [___]
neither
x = 3 [___]
neither
x = 5 [___]
neither
Which functions have removable discontinuities (holes)? Check all of the boxes that apply.
Question text not available
x = −3
Which of the following statements are true of this rational function? Check all of the boxes that apply.There is a removable discontinuity at x = –b.There is a vertical asymptote at x = 0.There are no removable discontinuities.There is a vertical asymptote at x = –a.There is a removable discontinuity at x = –a
⇒ 0.1
0.1
Use the equation where p = pressure and V = volume.What happens to the pressure as the volume approaches 0? Explain your reasoning.
As the volume approaches 0, the pressure approaches infinity. This is because the equation p = 8.31 / V is a rational function that is undefined at V = 0, creating a vertical asymptote. As the denominator (V) gets smaller and smaller, the resulting pressure (p) increases without bound.
x = −2 [___]
asymptote
a = [___], b = [___], c = [___]
a = 0.1, b = 20.775, c = 0.02
Which did you include in your answer?The pressure approaches infinity.The function is undefined for V = 0.There is an asymptote at V = 0.
a = [___], b = [___], c = [___]
a = 0.1, b = 20.775, c = 0.02
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