Pre-Calculus - Semester 1

Where are the discontinuities?

• holes: x=-3

  asymptotes: x=-1

• holes: none

  asymptotes: x=-1

• holes: x=-1

  asymptotes: x=-3

• holes: x=-1

  asymptotes: none

Tags

CCSS.HSF-IF.C.7D

Where are the discontinuities?

• holes: x=5

  asymptotes: x=3, y=1

• holes: x=3

  asymptotes: x=5, y=0

• holes: x=-5

  asymptotes: x=-3, y=1

• holes: x=-3

  asymptotes: x=-5, y=0

Tags

CCSS.HSF-IF.C.7D

Where is the first error?

• Step 2

• Step 3

• Step 4

• No error!

Tags

CCSS.HSA.REI.A.2

Where are the holes and vertical asymptotes?

• holes: x=1,3

  VA: x=-1

• holes: x=1,3

  VA: x=0

• holes: x=-3,-1

  VA: x=0

• holes: x=-3,-1

  VA: x=1

Tags

CCSS.HSF-IF.C.7D

Where are the holes and vertical asymptotes?

• holes: x=4,1/3,5

  VA: x=1

• holes: x=-4,1,3

  VA: x=0

• holes: x=-4,1/3,5

  VA: x=0

• holes: x=-2,0,5

  VA: x=1/3

Tags

CCSS.HSF-IF.C.7D

Simplify.

Tags

CCSS.HSA.APR.D.7

What are the domain and range?

• D : All real number x ≠ -3

  R: All real number y≠ 1

• D : All real number x ≠ 1

  R: All real number y≠ -3

• D : All real number x ≠ 3

  R: All real number y≠ 1

• D : All real number x ≠ -1

  R: All real number y≠ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Where are the asymptotes?

• x = 2

  y = 1

• x = 1

  y = 2

• x = -2

  y = -1

• x = -1

  y = -2

• (-∞,-2) u (-2,6) u (6, ∞)
• (-2,6)
• (-∞,2) u (2,6) u (6, ∞)
• (-∞,2) u (6 ,∞)

Which functions have a horizontal asymptote on y=0?

Tags

CCSS.HSF-IF.C.7D