2.2E Graphing and Analyzing Higher-Degree Polynomials

Which of the following could be the equation of this graph in factored form? (Assume the x-axis is scaled by ones and the y-axis is not.)

• 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

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

Tags

CCSS.HSA.APR.B.3

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) -> -∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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)

Tags

CCSS.HSF-IF.C.7C

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

Which function has this end behavior?

• -x²-3x+1
• -x³+2x²+3
• x⁴+3x³-4x+1
• x⁵-4x⁴+2x²-1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

State the Range.

• y ≤ 0

• y ≥ 0

• All Reals

• y ≤ - 4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What are the increasing intervals?

• (- ∞, -1), (-1, 0), (0, 1), (1, ∞)

• (3, 4), (3, 8)

• (- ∞, -1), (1, ∞)

• (-1, 0), (1, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

Determine the y-intercept 
f(x) = x³ - 5x² - 25x + 125

• (0,0)
• (0,25)
• (0,125)
• (0,5)

Tags

CCSS.HSF-IF.C.7C