Graphing Polynomials

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

• x= -4, x=3, x= -2
• x= -4, x=3, x=2
• x= -4, x=3, x=2
• x=4, x= -3, x= -2

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

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

Tags

CCSS.HSA.APR.B.3

• Positive Odd
• Positive Even
• Negative Odd
• Negative Even

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.1

• y=-(x+1)(x-2)(x-4)
• y=(x+1)²(x-3)(x-1)³
• y = 3x³ – 2x + 1
• y=(x+1)³(x-3)(x-1)²

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2
• y = -x⁴ + x³ + 5x + 2
• y = x³ - 2x² + 1x + 3
• y = -x³ - 2x² + 1x + 3

What is the leading coefficient?

• Positive 
• Negative

Tags

CCSS.HSA.APR.A.1

Describe the end behavior of
f(x) = 2x² + 6x⁵ + 10x

• Left side:  Rises
  Right side: Rises
• Left side: Falls
  Right side: Rises
• Left side:Rises
  Right side: Falls
• Left side: Falls
  Right side: Falls

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