End Behavior of Polynomial Functions 2

Which of the following is a 5th degree trinomial with a leading coefficient of -2? 

• f(x) = -2x⁵+3x-1
• f(x) = 5x^-2+3x-1
• f(x) = -2x⁵+3x⁴+2x³+x²-10
• f(x) = 2x+5

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

• 4
• 7
• 2
• 5

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

What is the degree?

• Odd
• Even

the value of f(x) as  x approaches positive and negative infinities

• end behavior
• beginning behavior
• middle behavior
• bad behavior

Using the degree and leading coefficient, match the function to its graph

• P(x) = -x³+6x²+x+5
• P(x) = x⁵+6x²+x+5
• P(x) = x⁴+6x²+x+5
• P(x) = -x⁴+6x²+x+5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.APR.B.3

Using the degree and leading coefficient, identify the predicted end behavior of: y=4x⁵+7x?

• x→∞, f(x)→ -∞
• x→-∞, f(x) →∞
• x→∞, f(x) →0
• x→-∞, f(x)→-∞

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