Polynomial Graphs and Roots

If f(x) = 2x³-13x²+36, is x = 6 an x-intercept?

• No, because f(6) = 30

• Yes, because f(6) = 0

• Yes, because f(6) = 30

• No, because f(6) = 0

• 2

• 1

• 3

• 0

• -3,2,1

• 3,-2,-1

• 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)

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

Which does not describe the zeros of a polynomial?

• Where a graph crosses the x-axis

• Also known as the roots

• Where x=0

• The solution when a factor is set equal to zero

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

In the above graph complete the following end behavior: (f(x)=y)
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