Analyzing Rational Functions and Their Derivatives

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

• Numerator

• Denominator

• Right side 

• Left side

Find the domain of the rational function f(x) = x/(x²-25)

• ( -∞ , -5) U (5, ∞)

• (-∞, -5) U (-5, 5) U (5, ∞)

• (-∞, 5) U (5, ∞)

• (-∞, 25) U (25, ∞)

State the end behavior asymptote:  
(2x²-5x +1)/(x²-x)

• y = 2

• y = 1

• y = 0

• There is no EBA

Determine the x-coordinate of the hole on the graph of 
f(x)= (x²-2x + 1)/(x²+2x - 3)

• -1

• 3

• 1

• -3

What are the asymptotes of the following function:
y = x / (2x - 6)

• y = 1/2, x = 3

• y = 2, x = 6

• y = 1/2, x = 6

• y = 2, x = 3

What is the limit of the function as x approaches negative infinity?

• -2

• -3

• negative infinity

• positive infinity

Without using a graphing utility, which of the following could be the equation of the graphed function?

The end behavior of p\left(x\right) is best described as _____.