Polynomial graphs

Select all the graphs which show even degree functions.

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Tags

CCSS.HSF.BF.B.3

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which functions have a negative leading coefficient?

• A

• B

• C

• D

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• A.
• B.
• C.
• D.

Write a 4th degree polynomial function with:
*a positive leading coefficient
*zeros: 9, 3, -2, 0

• y = x(x - 9)(x - 3)(x + 2)
• y = x(x + 9)(x + 3)(x - 2)
• y = -x(x - 9)(x - 3)(x + 2)
• y = -x(x + 9)(x + 3)(x - 2)

Tags

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

What are the zeros?

• approximately x = - 3.2

• There are none

• approximately x = 3.2

• approximately x = - 3.2 and 3.2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

f(x) = (x-4)²(x+1)

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