Rational Function Graphs

What is the domain?

• $x\ne-3$

• $x\ne3$

• $x\ne1$

• $x\ne-1$

What is the domain of the function?

•  $x=-1$ 

•  $x\ne-1$ 

•  $y=-2$ 

•  $y\ne-2$ 

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the equation of the graph?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote?  $y=\frac{x+5}{x-6}$  

• y = 1

• y = 0

• y = 6

• y = -5

Tags

CCSS.HSF-IF.C.7D

Identify the hole in the graph of  $y=\frac{x^2+3x-4}{x^2-1}$ .

•  $\left(1,-\frac{5}{2}\right)$ 

•  $\left(-1,-\frac{5}{2}\right)$  

•  $\left(1,\frac{5}{2}\right)$  

• there is no hole

Which graph has a horizontal asymptote of y = 0?

• $y=\frac{2x}{x-5}$

• $y=\frac{2x}{x^2-5}$

• $y=\frac{2x^2}{x-5}$

• $y=\frac{2x}{2x-5}$

Tags

CCSS.HSF-IF.C.7D

 $y=\frac{x^2-4x+3}{2x^2-2x}$  

Select ALL the following statements that are true.

• Vertical asymptote at x = 1

• Vertical asymptote at x=0

• Horizontal asymptote at y = 1/2

• Hole at (-1, 2)

• Hole at (1, -1)

Tags

CCSS.HSF-IF.C.7D

How do you find the vertical asymptotes?

• Set the simplified denominator equal to zero and solve.

• Set the canceled out parts of the denominator equal to zero and solve.

• Set the simplified numerator equal to zero and solve.

• Use the leading terms only from the top and bottom and simplify.

• Divide the polynomial on the top by the polynomial on the bottom.

Tags

CCSS.HSF-IF.C.7D

What is the vertical asymptote?

• x=-3

• x=3

• y=1

• y=0

What is the horizontal asymptote?

• y=1

• x=1

• There is not one.

• y=0