Polynomial Graphs Intro

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

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

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

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

• 4th degree polynomial with a positive leading coefficient
• 4th degree polynomial with a negative leading coefficient
• 3rd degree polynomial with a positive leading coefficient
• 3rd degree polynomial with a negative leading coefficient

Write a quadratic function that has the following characteristics:
*negative leading coefficient
*ONLY zero: 7

• y = -(x + 7)(x - 7)

• y = -(x - 7)²

• y = -(x + 7)²

• y = -(x - 7)⁴

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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

Tags

CCSS.HSA.APR.B.3

Which function is graphed?

• (x - 4)(x + 2)(x - 8)=y

• (x - 4)(x - 2)(x + 8)=y

• (x - 4)(x + 2)(x + 8)=y

• (x + 4)(x + 2)(x + 8)=y

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.