Unit 5: Key features and Characteristics of polynomials

The domain of a polynomial function is always (-∞, +∞).

• True
• False

What would be the leading coefficient if this this polynomial was written in standard form?

• 8
• -4
• -1
• 1

• odd degree

• even degree

• positive leading coefficient

• negative leading coefficient

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2
• -4, -1, 1, 2
• 4, 1, -2, -1 multiplicity 2
• 4, 1, -1, -2

Tags

CCSS.HSA.APR.B.3

Which one of the following could be the polynomial seen in the image?

• y = (x -3)(x + 1)(x +2)

• y = −(x + 3)(x + 1)(x − 2)

• y = −(x − 3)(x + 1)(x + 2)

• y = (x + 3)(x + 1)(x + 2)

Tags

CCSS.HSA.APR.B.3

Which zero will "bounce" off of the x-axis for x(x − 1)²(x + 2)(x + 3)

• -1

• 1

• -2

• -3

Tags

CCSS.HSF-IF.C.7C

What is the range of the function?

• [-1, +∞)
• (-1,1)
• [1.5, +∞)
• (-2, 2)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Where are the decreasing intervals?

• (-3, 1)

• (-∞, -5) ∪ (0, 2)

• (-∞, -3) ∪ (1, ∞)

• (-5, 0) ∪ (2, ∞)

Select ALL statements that apply to this graphed polynomial...

• The domain is (-∞,+∞)

• The range is (-∞,+∞)

• multiplicity of 2 at x=2

• There are 2 local minimum, and 1 local maximum