Graphing Rational Functions

What is the horizontal asymptote of the graph of  $f\left(x\right)=\frac{3x+5}{x-1}$  ?

•  $x=1$  

•  $x=3$  

•  $y=1$  

•  $y=3$  

•  $y=5$  

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote of the graph of  $g\left(x\right)=\frac{2}{x-4}+5$  ?

•  $x=4$  

•  $y=5$  

•  $x=5$  

•  $y=2$  

•  $x=2$  

Tags

CCSS.HSF-IF.C.7D

What are the x-intercepts of the graph of   $h\left(x\right)=\frac{\left(x-2\right)\left(x+4\right)}{\left(x-1\right)\left(x+3\right)}$  ?

• (0, -2) and (0, 4)

• (2, 0) and (-4, 0)

• (1, 0) and (-3, 0)

• (0, -1) and (0, 3)

Tags

CCSS.HSF-IF.C.7D

What are the vertical asymptotes of the graph of  $y=\frac{\left(x+2\right)\left(x-5\right)}{\left(x-3\right)\left(x-1\right)}$  ?

•  $x=3$  and  $x=1$  

•  $y=3$  and  $y=1$  

•  $x=-2$  and  $x=5$  

•  $y=-2$  and  $y=5$  

Tags

CCSS.HSF-IF.C.7D

What is the y-intercept of the graph of  $y=\frac{x-4}{x+2}$  ?

• (0, 4)

• (0, -2)

• (4, 0)

• (-2, 0)

What is the domain of the function?

Tags

CCSS.HSF-IF.C.7D

What's the vertical asymptote of the function?

• x = -9

• x = 9

• x = 3 , x = -3

• x = 3

Tags

CCSS.HSF-IF.C.7D

• y = 0
• y = 1/2
• y = 2
• None

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote? 

• x = 2
• x = 7
• y = 2
• y = 7

Tags

CCSS.HSF-IF.C.7D