Rational Functions Precalculus Limits

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

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Identify the domain:
f(x) = 1 / (x - 5) 
OR  f(x) = (x - 5)^-1

• [5, oo)

• (5, oo)

• (-oo, oo)

• x ≠ 5

Identify the domain:
f(x) = 1 / x

• (-oo, oo)

• (0, oo)

• x ≠ 0

• [0, oo)

Identify the domain:
f(x) = 1 / √x 
OR  f(x) = x^-1/2

• (0, oo)

• [0, oo)

• (-oo, 0] U [0, oo)

• x ≠ 0

A vertical asymptote is found by setting the _________= to zero and solving for x  (a)  

• Numerator

• Denominator

• Right side 

• Left side

What is the horizontal asymptote?

• x = 2

• y = 2

• x =-2

• y=-2

What is the vertical asymptote? 

• x = 2

• y = 2

• x = 1

• y = 1

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

• x = 1

• x = 5

• x = -5

• x = 0

Rational functions always have exactly 1 vertical asymptote.

(a)  

• True

• False