Rational Functions Review

Does this function have any vertical asymptotes? If so, what are their equations? $y=\frac{x+7}{x^2+9x+14}$  

• No vertical asymptotes.

• Two vertical asymptotes: x = -7 and x = -2 

• One vertical asymptote: x = -7

• One vertical asymptote: x = -2

Tags

CCSS.HSF-IF.C.7D

Does this function have any holes? If so, what are their coordinate pairs? $y=\frac{x+7}{x^2+9x+14}$  

• No holes.

• One hole: (-7, -1/5)

• One hole: (7, 1/5) 

• Two holes: (-2, 0) and (-7, 0)

Tags

CCSS.HSF-IF.C.7D

What does this function “look like,” at least “on the ends?” $y=\frac{x+7}{x^2+9x+14}$  

• A horizontal line; the x-axis.

• A diagonal line.

• A parabola

• A cubic function

Tags

CCSS.HSF-IF.C.7D

Does this function have any vertical asymptotes? If so, what are their equations? $y=\frac{\left(x+3\right)\left(x-4\right)\left(x+7\right)}{\left(x-4\right)}$   

• No vertical asymptotes.

• One vertical asymptote: x = 4

• Two vertical asymptotes: x = -3 and x = -7

• Three vertical asymptotes:  x = -3, x = 4, and x = -7

Tags

CCSS.HSF-IF.C.7D

Does the function have any holes? If so, what are their coordinate pairs? $y=\frac{\left(x+3\right)\left(x-4\right)\left(x+7\right)}{x-4}$   

• No holes

• One hole: (4, 77)

• One hole: (-4, -3)

• Two holes: (-7, 0) and (-3, 0)

Tags

CCSS.HSF-IF.C.7D

What does the function “look like,” at least “on the ends?” $y=\frac{\left(x+7\right)\left(x-4\right)\left(x+3\right)}{x-7}$   

• A horizontal line; the x-axis.

• A diagonal line.

• A parabola.

• A cubic function.

Tags

CCSS.HSF-IF.C.7D

What is the LCD for this addition problem? $\frac{4x^2}{12x^2y^3}+\frac{7}{5y^5}$   

•  $120x^2y^8$  

•  $60x^2y^5$  

•  $60x^2y^8$  

•  $17x^2y^5$  

Tags

CCSS.HSA.APR.D.7

What is the LCD for this subtraction problem? $\frac{5}{x+4}-\frac{2x+3}{\left(x-3\right)\left(x-3\right)}$   

•  $\left(x+4\right)\left(x-3\right)$  

•  $\left(x+4\right)\left(x-3\right)\left(x-3\right)$  

•  $x^3+36$  

Tags

CCSS.HSA.APR.D.7

Subtract.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1

Add $\frac{2}{x-3}+\frac{3}{x+2}$  

•  $\frac{5x-5}{\left(x-3\right)\left(x+2\right)}$  

•  $\frac{2x-1}{\left(x-3\right)\left(x+2\right)}$  

•  $\frac{5}{x-1}$  

•  $\frac{1-2x}{\left(x-3\right)\left(x+2\right)}$  

Tags

CCSS.HSA.APR.D.7