Rational Functions REVIEW

Determine whether the function is rational or NOT rational.

 $f\left(x\right)=x^{\frac{2}{3}}-1$  

• Rational 

• NOT Rational

Determine whether the function is rational or NOT rational.

 $f\left(x\right)=\frac{x}{x-3}$  

• Rational 

• NOT Rational

Tags

CCSS.HSF-IF.C.7B

Determine which function shows the transformation on the given graph of the function

 $f\left(x\right)=\frac{1}{x}$  

•  $g\left(x\right)=\frac{1}{x-3}$  

•  $h\left(x\right)=\frac{1}{x+3}$  

•  $p\left(x\right)=\frac{1}{x}+3$  

Tags

CCSS.HSF.BF.B.3

Determine which function shows the transformation on the given graph of the function

$f\left(x\right)=\frac{1}{x}$

• $g\left(x\right)=\frac{1}{x-3}$

• $h\left(x\right)=\frac{1}{x+3}$

• $p\left(x\right)=\frac{1}{x}+3$

Tags

CCSS.HSF.BF.B.3

Determine which function shows the transformation on the given graph of the function

$f\left(x\right)=\frac{1}{x}$

• $g\left(x\right)=-\frac{3}{x}$

• $h\left(x\right)=\frac{3}{x}$

• $p\left(x\right)=\frac{3}{x}+2$

Tags

CCSS.HSF.BF.B.3

Write a rational function with the given characteristics:
vertical asymptote at x = –4 and a horizontal asymptote at y = –3

•  $f\left(x\right)=\frac{1}{x-3}-4$  

•  $f\left(x\right)=\frac{1}{x-4}-3$  

•  $f\left(x\right)=\frac{1}{x+4}+3$  

•  $f\left(x\right)=\frac{1}{x+4}-3$  

Tags

CCSS.HSF-IF.C.7D

Write a rational function with the given characteristics:
vertical asymptote at x = –3 and x = 5 and a horizontal asymptote at y = 1

•  $f\left(x\right)=\frac{1}{\left(x+3\right)\left(x-5\right)}+1$  

•  $f\left(x\right)=\frac{1}{\left(x-3\right)\left(x+5\right)}-1$  

•  $f\left(x\right)=\frac{5}{\left(x+1\right)}-3$  

•  $f\left(x\right)=\frac{x+5}{x+3}+1$  

Tags

CCSS.HSF-IF.C.7D

Determine if the rational function has a vertical asymptote, a hole, both, or neither.

 $f\left(x\right)=\frac{x-4}{\left(x-2\right)\left(x-4\right)}$  

• Vertical Asymptote

• Hole

• Both

• Neither

Tags

CCSS.HSF-IF.C.7D

Determine if the rational function has a vertical asymptote, a hole, both, or neither.

 $f\left(x\right)=\frac{x^2-3x}{x^2-9}$  

• Vertical Asymptote

• Hole

• Both

• Neither

Tags

CCSS.HSF-IF.C.7D

Determine if the rational function has a vertical asymptote, a hole, both, or neither.

 $f\left(x\right)=\frac{x-5}{10}$  

• Vertical Asymptote

• Hole

• Both

• Neither

Tags

CCSS.HSF-IF.C.7D