Unit 2c Rational Functions - Review

Identify the Vertical Asymptote & Horizontal Asymptote:  $f\left(x\right)\ =\ \frac{1}{x\ -\ 3}\ +\ 4$  

• VA @ 3,  HA @ 4
  

• VA @ -3,  HA @ 4

• VA @ 3,  HA @ -4

• VA @ 4,  HA @ 3
  

• VA @ 4,  HA @ -3
  

Tags

CCSS.HSF-IF.C.7D

Identify the Vertical Asymptote and Horizontal Asymptote:  $g\left(x\right)\ =\ -7\ +\ \frac{3}{x\ +\ 2}$  

• VA @ 2, HA @ -7

• VA @ -7, HA @ 2
  

• VA @ -2, HA @ -7
  

• VA @ -3, HA @ 2
  

• VA @ -2, HA @ 7

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.HSA.APR.D.6

The school booster club is in charge of a new set of sweatshirts for the new school year. A local business charges $40 to set up the logo with the design and $4.50 in materials per sweatshirt printed. Write a function to represent the average cost per sweatshirt.

• $C\left(x\right)\ =\ \frac{40\ +4.50x\ }{x}$

• $C\left(x\right)\ =\ 40\ +4.50x\$

• $C\left(x\right)\ =\ \frac{40x+4.50\ }{x}$

• $C\left(x\right)\ =\ 40x\ +4.50$

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Tyson is on a baseball team and he has had 23 base hits out of 90 at bats so far this year. He wants to raise his batting average to .300.

Write and solve an equation to find how many of the next consecutive at bats need to be base hits.

• $\frac{23\ +\ x}{90}\ =\ .300$ Answer: 4 base hits
  

• 
  

  $\frac{23\ +\ x}{90\ +\ x}\ =\ .300$ Answer: 6 base hits
  

• $\frac{23\ +\ x}{90\ +\ x}\ =\ .300$ Answer: 10 base hits
  

• $\frac{23\ +\ x}{90\ }\ =\ .300$ Answer: 13 base hits
  

Tags

CCSS.7.EE.B.4A

Solve for all values of x:  $\frac{x}{x+6}=\ \frac{x+2}{-5}$  

• -3

• -12

• 4

• 7

• -1

Tags

CCSS.HSA.REI.A.2

Solve for all values of x:  $x-3\ =\ \frac{3x-2}{x-6}$  

• 2

• 10

• 20

• -9

• 3

Tags

CCSS.HSA.REI.A.2

Identify the Vertical Asymptote:  $f\left(x\right)\ =\ \frac{15}{12\ -\ x}$  

• VA @ 15

• VA @ -12

• VA @ -15

• VA @ 12
  

Tags

CCSS.HSF-IF.C.7D

 $\ \frac{5x^2-26x\ +3}{x\ -6}$ 

Use division to rewrite the expression in the form:

q(x) + r(x)/b(x).

•  $5x\ +4\ +\ \frac{27}{x\ -6}$  

•  $5x\ -6\ +\ \frac{-27}{x-4}$  

•  $5x-4\ +\ \frac{-3}{x\ -6}$  

•  $5x+4\ +\ \frac{-8}{x-6}$  

•  $5x-4\ +\ \frac{27}{x\ -6}$  

Tags

CCSS.HSA.APR.D.6

A local business charges $23 to set up their jacket printing machine with the design and $8.50 in materials per jacket to print.  Write an equation for the average cost C(x) of printing x jackets through this company.

•  $C\left(x\right)\ =\ \frac{8.50\ -\ 23x}{x}$ 

•  $C\left(x\right)\ =\ \frac{8.50x\ -\ 23}{x}$ 

•  $C\left(x\right)\ =\ \frac{8.50\ +\ 23x}{x}$ 

•  $C\left(x\right)\ =\ \frac{8.50x\ +\ 23}{x}$ 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1