Polynomial graphs and end behavior

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

How many roots are shown in the picture?

• 0

• 1

• 2

• 3

Tags

CCSS.HSA.APR.B.3

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

Tags

CCSS.HSA.APR.B.3

Identify the zeros

• x=2, x=6, x=-4
• (x+2)(x+6)(x-4)
• (x-2)(x-6)(x+4)
• x=-2, x=-6, x=4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

Tags

CCSS.HSA.APR.B.3

f(x) = (x-4)²(x+1)

• Even Degree
  - Leading Coeff.
• Even Degree
  + Leading Coeff.
• Odd Degree
  - Leading Coeff.
• Odd Degree
  + Leading Coeff.

What is the degree of the function graphed here?

• 6
• 4
• 3
• 5

Tags

CCSS.HSA.REI.D.10

Which of the following correctly identifies the End Behavior?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the x-intercepts and their multiplicities for the following polynomial?  $f\left(x\right)=\left(x+3\right)\left(x+1\right)^2\left(x-1\right)$  

•  $x=-3,\ -1\ multiplicity\ of\ 2,\ 1$  

•  $x=3,\ 1\ multiplicity\ of\ 2,\ -1$  

•  $x=-3,\ 1\ multiplicity\ of\ 2,\ -1$  

•  $x=\ 3,\ -1\ multiplicity\ of\ 2,\ 1$  

Tags

CCSS.HSF-IF.C.7C

In the following polynomial, which of the x-intercepts will "bounce". $f\left(x\right)=\left(x-1\right)^4\left(x-2\right)^5\left(x-3\right)$  

• x = 1
  

• x = 1, 2

• x = 1, 3

• x = 2, 3

• x = 2

Tags

CCSS.HSA.APR.B.3