Unit 3 - Graphing Rational Functions (2020)

State the vertical asymptotes: 

 $y=\frac{2}{2x^2+3x-5}$  

• x = 1 , x = -5

• x = 1, x = -5/2

• x = -1/2, x = 5

• x = 0 , x = -5/2

State the vertical asymptote: 

 $f\left(x\right)=\frac{x-2}{x+5}$  

• x = -2/5

• x = -5/2

• x = -5

• x = 2

• (0, -1)

• (0, 0)

• (0, 4)

• None

• (-1, 0)

• (0, 0)

• (4, 0)

• None

Which is a point of discontinuity. A point of discontinuity is a hole.

 $y=\frac{\left(x-3\right)\left(x+2\right)}{\left(x-3\right)\left(x+4\right)}$  

• (-3, -1)

• (-2, 0)

• (3, 5/7)

• (3, 0)

Find the horizontal asymptote.

• None
• y = 0
• y = -1/3
• y = -3

Tags

CCSS.HSF-IF.C.7D

State the x-component of the hole(s).

• None

• x = -4

• x = 4

• x = 1/2

What is the x-intercept?

 $y=\frac{4x}{x+5}$  

• (0, 0)

• (4, 0)

• (5, 0)

• (-5, 0)

What is the y-intercept?

 $y=\frac{4x}{x+5}$  

• (0, 0)

• (0, 4)

• (0, 5)

• (0, -5)

What is the Horizontal Asymptote?
 $y=\frac{4x}{x+5}$  

• y= 0

• y= 4

• y= 5

• y= -5