Graphing Polynomials

What are the a-value and degree of this function?

• Positive Odd

• Positive Even

• Negative Odd

• Negative Even

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

What is the end-behavior of the function 
y = -x³ + 6x² + 7x

• as x-> -∞  f(x) -> ∞
   as x-> ∞  f(x) -> -∞
• as x-> -∞ f(x) -> ∞
   as x-> ∞  f(x) -> ∞
• as x->-∞ f(x) -> -∞
   as x-> ∞   f(x) -> ∞
• as x-> -∞ f(x) -> -∞
   as x-> ∞ f(x) -> -∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• 4
• 7
• 2
• 1

• The function has an Odd Degree

• The function has an Even Degree

• The function has 5 real zeros

• The function has a Positive a-value

Does this function have an absolute maximum?

• Yes 
• No

Tags

CCSS.HSA.REI.D.10

How many extrema (maxes and mins, relative or absolute) are in the picture?

• 2

• 3

• 4

• 5

Which of the following could be the equation of the graph in factored form?

• y= - (x+1)(x-2)(x-4)

• y= -(x+1)²(x-2)

  (x-4)³

• y = x(x+1)(x-2)

  (x-4)

• y= (x+1)³(x-3)

  (x-1)²

What degree could the graph shown be?

• 3

• 4

• 5

• 6

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