Graphing Polynomials Higher Degree

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 is the end-behavior of the function

f(x) = -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) -> -∞

Which of the following best suits the statement for the graph shown:
This polynomial
will have an even degree.

• Sometimes

• Always 

• Never

• Cannot be determined

f(x)= x²(x – 2)³(x – 7)

Find each zero and its multiplicity.

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

• 2 (Mult of 3), 7 (mult 1)

• 0, 2, 7

• 2 (mult of 2), 7 (mult of 3)

Over the interval (−1, 2), the graph of the polynomial shown could be described as

• decreasing

• increasing

• positive

• negative

What is the degree of this polynomial?

• 4

• 3

• 2

• 1

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

• 4

• 7

• 2

• 1

Which graph has the end behavior shown?

• 
• 
• 
• 

For what intervals of x is f(x) negative? Check all that apply.

• x<-3

• x>1

• -3<x<1

• x≤-3

• x≥1

Where is the function positive?

• (-2,1), (3,∞)

• (-∞,-1), (2,∞)

• (-1,4)

• (∞,3), (1,-2)