Rational Equations

Which of the following equations has a vertical asymptote at x = -7?

Identify all the intervals that describe the domain of f(x)? (You may select more than one)

Describe the discontinuities of f\left(x\right)=\frac{x-1}{x^2-1}

• There is a removable discontinuity at x = 1

• There is a vertical asymptote at x = 1

• There is a removable discontinuity at x = 1 and a vertical asymptote at x = -1

• There is a removable discontinuity at x = -1 and a vertical asymptote at x = 1

• Vertical asymptote at x = 5

• Removable discontinuity at x = 8

• Removable discontinuity at x = -5

• Vertical asymptote at x = -1

• Vertical asymptote at x = 8

What is the horizontal asymptote to this function?

• Y= 4

• Y= 0

• Y= -2

• Y= 1

Find the horizontal asymptote of the rational function.

• no horizontal asymptote

• y=0

• y=2

• y= -3

What is the Horizontal Asymptote? 

• y= 5

• y= -6

• y= 1

• y= 5/-6

Where does this graph have a hole?  factor first

• x= 4

• x= -4

• x= 5

• x= -5

Solve for x

• 6

• 17/5

• 19/2

• - 6

Which asymptotes are determined by looking at the denominator of a function? 

• vertical

• horizontal

• slant

• none