A2 Graphing Rationals

The holes of a rational function occur when :

• my pencil pokes a hole in the paper I'm working on
• there is something left in the denominator
• the value of f(0)
• a factor in the denominator cancels with a factor in the numerator

Tags

CCSS.HSF-IF.C.7D

• All Reals Except 0
• All Reals
• All Reals Except -3
• All Reals Except 0 and -3

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the vertical asymptote?

• x=-4

• x=1

• x=4

• x=3/2

What is the dotted line on the graph that the line never touches?

• dotted line
• inequality
• asymptote
• bold line

Tags

CCSS.HSA.REI.D.12

What are the asymptotes?

• x = -3        y = 1  
• x = 3         y = 1
• x = -3        y = -1
• x = 3         y = -1

Tags

CCSS.HSF-IF.C.7D

What is the DOMAIN?

•  $\left(-\infty,-3\right)U\left(-3,\infty\right)$ 
  

•  $\left(-\infty,1\right)U\left(1,\infty\right)$  

•  $\left(-\infty,-3\right)U\ \left(-3,\ 1\right)\ U\left(1,\infty\right)$  

• All Real Numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Match the graph to the correct rational equation below.

• f(x)=x²/(x²+x-12)
• f(x)=4x²/(x²-x-12)
• f(x)=(2x²-2)/2x²
• f(x)=x/(x²+x-12)

Tags

CCSS.HSF-IF.C.7D

What is the equation of the rational function graphed?

• $f\left(x\right)=\frac{1}{x-2}$

• $f\left(x\right)=\frac{1}{x+2}$

• $f\left(x\right)=\frac{1}{x}+2$

• $f\left(x\right)=\frac{1}{x}-2$

Tags

CCSS.HSF-IF.C.7D