Graphing Polynomial Functions

From left to right describe the end behavior of: y = -x²

• down and down

• down and up

• up and down

• up and up

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

From left to right describe the end behavior of: y = -x³ - 6

• down and down

• down and up

• up and down

• up and up

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which equation MOST LIKELY matches the graph?

HINT: Write factored equation and multiply!

• 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

Is the leading coefficient positive or negative

• positive
• negative

• 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.11

In the above graph, which root has a multiplicity of 2?

• -1

• -3

• -120

• 4

Tags

CCSS.HSA.APR.B.3

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

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