End Behavior of Rational Functions

What is the limit of h(x) as x approaches infinity?

• -4.5

• negative infinity

• infinity

• 1

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1

• y = 9

Find the horizontal asymptote.

• None

• y = 0

• y = -1/3

• y = -3

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

• infinity

• negative infinity

• 1

• -1

What is the Horizontal Asymptote?

• None

• y= 0

• y= 1

• y= 5/4

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

What does the leading coefficient of a rational function's numerator tell us about the function's end behavior?

• It determines the horizontal asymptote.

• It influences the direction of the tails of the graph.

• It specifies the exact value of the vertical asymptotes.

• It has no effect on the end behavior.