Powers, Polynomials, and Rational Functions

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

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

Match the graph to the function

• f(x) = -2x⁶+9x²

• f(x) = x⁴+x³-5x²-6

• f(x) = -½x⁴+1

• f(x) = -x²+3x

• 2

• -2

• -6

• 6

Tags

CCSS.HSF-IF.C.7D

Factor and cancel out in order to simplify.

• 1/(n-7)

• n-7

• (n-6)/(n-7)

• n-6

Tags

CCSS.HSA.APR.D.6

Tags

CCSS.HSA.APR.D.7

How many real solutions does the function have?

• 0

• 1

• 2

• 3

Tags

CCSS.HSA.APR.B.3

List the roots of the polynomial.

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

• -4, 3, 8

• 4, -3, -8

• -7

• 96

Tags

CCSS.HSF-IF.C.7C

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