Quiz about Rational Functions Day 1 Practice

Question 1

Identify the vertical asymptote.

Accepted Answer

x = 1/2

Answer

x = -1/2

Answer

y = -1

Answer

x = 1

Question 2

Identify the horizontal asymptote.

Accepted Answer

y = -1

Answer

x = 1/2

Answer

y = -1/2

Answer

y = 1

Question 3

Identify the vertical asymptote.

Accepted Answer

x = 1

Answer

x = 0

Answer

y = 1

Answer

x = -1

Question 4

Identify the horizontal asymptote.

Accepted Answer

y = 0

Answer

x = 1

Answer

y = 1

Answer

y = -1

Question 5

Which of the following represent asymptotes of the function graphed?

Accepted Answer

x = -3

Accepted Answer

y = 0

Accepted Answer

x = 3

Answer

x = 0

Answer

no horizontal asymptote

Question 6

What is the asypmtotic behavior of this rational function?

Accepted Answer

As x approaches 3 from the left, y goes down

As $$x\rightarrow3^-,\ y\rightarrow-\infty$$

Accepted Answer

As x approaches 3 from the right, y goes up
As $$x\rightarrow3^+,\ y\rightarrow+\infty$$

Answer

As x approaches 3 from the left, y goes up
As $$x\rightarrow3^-,\ y\rightarrow+\infty$$

Answer

As x approaches 3 from the right, y goes down
As $$x\rightarrow3^+,\ y\rightarrow-\infty$$

Question 7

What is the asypmtotic behavior of this rational function?

Accepted Answer

As x approaches 0 from the left, y goes down

As $$x\rightarrow0^-,\ y\rightarrow-\infty$$

Accepted Answer

As x approaches 0 from the right, y goes down
As $$x\rightarrow0^+,\ y\rightarrow-\infty$$

Answer

As x approaches 0 from the left, y goes up
As $$x\rightarrow0^-,\ y\rightarrow+\infty$$

Answer

As x approaches 0 from the right, y goes up
As $$x\rightarrow0^+,\ y\rightarrow+\infty$$

Question 8

What is the end behavior of the function?

Accepted Answer

As $$x\rightarrow-\infty,\ y\rightarrow0$$

Accepted Answer

As $$x\rightarrow\infty,\ y\rightarrow0$$

Answer

As $$x\rightarrow-\infty,\ y\rightarrow-\infty$$

Answer

As $$x\rightarrow\infty,\ y\rightarrow\infty$$

Rational Functions Day 1 Practice