Graphing Polynomials Factored Form

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

• x= -4, x=3, x= -2

• x= -4, x=3, x=2

• x= -4, x=3, x=2

• x=4, x= -3, x= -2

Tags

CCSS.HSF-IF.C.7C

• y=-(x+1)(x-2)(x-4)
• y=(x+1)²(x-3)(x-1)³
• y = 3x³ – 2x + 1
• y=(x+1)³(x-3)(x-1)²

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

Identify the zeros:

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1

Tags

CCSS.HSF-IF.C.7C

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

What is the end-behavior of the function

• 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) -> -∞

Find the zeros of the polynomial.
f(x) = (x-5)(2x+3)(7x-4)(x+6)

• x = 5, (2/3), 6, (7/4)

• x= -5, (3/2), (-4/7), 6

• x= 5, (-3/2), (4/7), -6

• x= 6, 5, -2/3, -4/7

Tags

CCSS.HSF-IF.C.7C

How many real zeros does the function have?

• None

• 2

• 3

• 4

Tags

CCSS.HSF-IF.C.7C

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞

• x → ∞, y→ ∞ and x→⁻∞, y→∞

• x → ∞, y→ ∞ and x→⁻∞, y→ 0

• x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

List the zeros for this function.

• x= -4, x=3, x= -2

• x= -4, x=3, x=2

• x= -4, x=-3, x=2

• x=4, x= -3, x= -2

Tags

CCSS.HSF-IF.C.7C