Rational Functions Practice

 $f\left(x\right)=\frac{x^2+10x+24}{x-9}$  

Find the vertical asymptote(s) of the rational function.

• x = -6, x = -4

• x = -1

• x = -9

• x = 9

 $f\left(x\right)=\frac{x^2+10x+24}{x-9}$  
Find the x-intercept(s) of the rational function.

• x = -2, x = -12

• x = -6, x = -4

• x = 6, x = 4

• x = -6

 $f\left(x\right)=\frac{x^2-4}{x+7}$ 

 Find the y-intercept of the following rational function.

• (0, -7/4)

• (0, -4)

• (0, -4/7)

• (0, -2)

Which of the following represents the graph below?

• 
• 
• 
• 

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1
• D : All real number x ≠ 1
  R: All real number y≠ -3
• D : All real number x ≠ 3
  R: All real number y≠ 1
• D : All real number x ≠ -1
  R: All real number y≠ 3

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

• the degree of the numerator is less than the degree of the denominator

• the degree of the numerator is greater than the degree of the denominator

• the numerator equals zero

What is the vertical asymptote? 

• x = 2
• y = 2
• x = 1
• y = 1

Which asymptote(s) are determined by looking at the denominator?

• vertical
• horizontal
• end behavior
• none

What is the horizontal asymptote? 

• x = 2
• x = 7
• y = 2
• y = 7

How is this function transformed from the parent function?

• Translated left and up
• Translated right and up
• Translated left and down
• Translated right and down