Power Functions and Polynomials

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Match the graph to the function

• f(x) = -2x⁶+9x²
• f(x) = x⁴+x³-5x²-6
• f(x) = -½x⁴+1
• f(x) = -x²+3x

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How many real solutions does the function have?

• 0
• 1
• 2
• 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

Using the degree and leading coefficient, match the graph to an equation.

• y=-(x-1)²(x+2)²
• y=(x-1)²(x+2)²
• y=(x-1)(x+2)²
• y=-(x-1)²(x+2)²

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

What is the end behavior of

x³ - 5x + 3

• down, up

• up, up

• down, down

• up, down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

List the roots of the polynomial.

y = (x + 4)(x - 3)(x - 8)

• -4, 3, 8

• 4, -3, -8

• -7

• 96

Tags

CCSS.HSA.APR.B.3

List the zeros for the function.

• (-4, 0), (1, 0), (5, 0)

• (0, -4), (0, 1), (0, 5)

• (4, 1), (5, 1)

• (4, 0), (2, 0), (6, 0)

Tags

CCSS.HSA.APR.B.3