Rational Functions Part 1

What are the asymptotes?

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

Tags

CCSS.HSF-IF.C.7D

Which of the following represents the graph below?

• 
• 
• 
• $-\frac{1}{x+3}+2$

The time to complete a project varies inversely with the number of employees.
If 3 people can complete the project in 7 days, how long will it take 5 people?

• 12 days
• 4.2 days
• 6.2 days
• 10 days

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.

• 300
• 75
• 1,875
• 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.A.1

Which equation best represents the graph?

• y=(x-6)/(x-4)

• y=(x+2)/(x+4)

• y=(x-4)/(x-2)

• y=(x+2)/(x-4)

What is 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

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Tags

CCSS.HSF-IF.C.7C

What is the factored form of a function if it has zeros of 2, 3 and -1?

• (x-2)(x-3)(x+1)
• (x-1)(x-2)(x-3)
• (x-1)(x+2)(x+3)
• (x+1)(x+2)(x+3)

Tags

CCSS.HSA.APR.B.3

Identify the zeros:

• x=-2, x=-1, x=0
• x=-2, x=0
• x=-1, x=0, x=2
• x=-2, x=0, x=1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Which of the following could be the equation of the graph in factored form?

• y= (x+1)(x-2)(4-x)

• y=(x+1)²(x-2)(x-4)³

• y = x(x+1)(x-2)(x-4)

• y=(x+1)³(x-3)(x-1)²

Tags

CCSS.HSA.APR.B.3