Polynomial Graphs

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.HSA.APR.B.2

CCSS.HSA.APR.B.3

Describe the end behavior of

f(x) = -5x⁴- 2x² + 8

• Left side: Up

  Right side: Up

• Left Side: Up

  Right side: Down

• Left side: Down

  Right side: Up

• Left side: Down

  Right side: Down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the end behavior of

f(x) = 2x² + 6x⁵ + 10x

• Left side: Up

  Right side: Down

• Left side: Up

  Right side: Up

• Left side:Down

  Right side: Down

• Left side: Down

  Right side: Up

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

• A.

• B.

• C.

• D.

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)
• The graph will "bounce back" at that zero
• The graph will "pass through" at that zero
• Zeros cannot have multiplicity of 4

Tags

CCSS.HSA.APR.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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the degree of the function graphed here?

• 6
• 4
• 3
• 5

Tags

CCSS.HSA.REI.D.10

Is the leading coefficient positive or negative

• positive
• negative

Tags

CCSS.HSA.REI.D.10