Polynomials End Behavior and Zeros

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

Describe the end behavior of the graph.

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

• 2

• 1

• 3

• 0

What are the roots of the polynomial?

• -3, 0, and 3

• 0

• -2, 10, and -10

• 11, 0 and -11

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Tags

CCSS.HSA.APR.B.3

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

• no, 3 is not a zero of f(x)

• yes

• no, 2 is not a zero of f(x)

• no, -3 is not a zero of f(x)

Tags

CCSS.HSF-IF.C.7C

If a zero of a polynomial function has multiplicity 2 that means:

• The x intercept is at (2, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 2

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3

• 0, -1, 3

• 1, -3

• 0, -3, 1

Tags

CCSS.HSF-IF.C.7C