Rational Functions

What is the definition of an ASYMPTOTE?

• An imaginary number

• another word for "autopsy"

• A line that only occurs on the x and y axis

• a line that continually approaches a given curve but does not meet it at any finite distance

Simplify

• (x-9)/(x+9)
• 1/(x-9)
• (x+9)
• 1/(x+9)

Multiply and Simplify 

• 4(x+3)/(x+2),
• (x+2)/4(x+1)
• (x+2)/4(x+3),
• 4(x+1)/(x+2), 

Tags

CCSS.HSA.APR.D.7

Simplify

• A.4x³/(x+2)
• B.4x³/(x+10)
• C.2x³/(5x+1)
• D. 2x³/(x+5)

Tags

CCSS.HSA.APR.D.6

Multiply and Simplify 

• 5a-25/ (a-5)(a+9)
• 5/(a+9)
• 5a-25/ (a+9)
• 1/(a+9)

What are the domain and range?

• D: all real numbers, x ≠ 5

  R: all real numbers, y ≠ 5

• D: all real numbers, x ≠ 5

  R: all real numbers, y ≠ 0

• D: all real numbers, x ≠ -5

  R: all real numbers, y ≠ 0

• D: all real numbers, x ≠ -5

  R: all real numbers, y ≠ -5

What is the horizontal asymptote? 

• x = 2
• x = 7
• y = 2
• y = 7

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

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

• D: all real numbers, x ≠ -3

• D: all real numbers, x ≠ 0

• D: all real numbers, x ≠ 3

• D: all real numbers, x ≠ 1

What makes this function undefined?

• x = 0

• x = 4

• x = 2

• It's defined over all real numbers.