Converting Forms of Rational Functions

Which of the following is an example of a rational function in asymptote form?

• $y=\frac{1}{x-6}+2$

• $y=\frac{6x+19}{3x+12}$

• $y=\frac{4}{x+2}$

• $x=3,\ y=4$

Which of the following is an example of a rational function in standard form?

• $y=\frac{6x+19}{3x+12}$

• $y=\frac{1}{x-6}+2$

• $y=\frac{4}{x-3}-1$

• $y=2x+1$

Rewrite the function  $y=\frac{1}{x-6}+2$  in standard form.

•  $y=\frac{2x-13}{x-6}$  

•  $y=\frac{2x-11}{x-6}$  

•  $y=\frac{2x+13}{x-6}$  

•  $y=\frac{2x-7}{x-6}$  

Rewrite the function  $y=\frac{2x-9}{x-5}$  in asymptote form.

•  $y=2+\frac{1}{x-5}$  

•  $y=2-\frac{19}{x-5}$  

•  $y=2-\frac{9}{x-5}$  

•  $y=2-\frac{9}{x-5}$  

Rewrite the function  $y=3-\frac{5}{x+2}$  in standard form.

•  $y=\frac{3x+11}{x+2}$  

•  $y=\frac{3x-1}{x+2}$  

•  $y=\frac{3x-15}{x+2}$  

•  $y=\frac{3x+1}{x+2}$  

Rewrite the function  $y=\frac{6x+19}{3x+12}$  in asymptote form.

•  $y=2-\frac{5}{3x+12}$  

•  $y=2+\frac{43}{3x+12}$  

•  $y=3-\frac{17}{3x+12}$  

•  $y=2+\frac{7}{3x+12}$  

Rewrite the function  $y=\frac{4}{x-3}-1$  in standard form.

•  $y=\frac{x-7}{x-3}$  

•  $y=\frac{4x-4}{x-3}$  

•  $y=\frac{-x+7}{x-3}$  

•  $y=\frac{x+7}{x-3}$  

Rewrite the function  $y=\frac{x+4}{x+3}$  in asymptote form.

•  $y=1+\frac{1}{x+3}$  

•  $y=1+\frac{7}{x+3}$  

•  $y=1-\frac{1}{x+3}$  

•  $y=1+\frac{4}{x+3}$  

Identify the vertical and horizontal asymptotes in the function  $y=\frac{1}{x-5}+2$  .

• Vertical Asymptote: x = 2
  Horizontal Asymptote: y = 5

• Vertical Asymptote: x = 5
  Horizontal Asymptote: y = 2

• Vertical Asymptote: y = 5
  Horizontal Asymptote: x = 2

• Vertical Asymptote: x = -5
  Horizontal Asymptote: y = 2

Tags

CCSS.HSF-IF.C.7D

Identify the vertical and horizontal asymptotes in the function  $y=1+\frac{1}{x+3}$  .

• Vertical Asymptote: x = 1
  Horizontal Asymptote: y = 3

• Vertical Asymptote: y = 1
  Horizontal Asymptote: x = 3

• Vertical Asymptote: x = -3
  Horizontal Asymptote: y = 1

• Vertical Asymptote: y = -3
  Horizontal Asymptote: x = 1

Tags

CCSS.HSF-IF.C.7D