3.2 Warm Up

What makes the end behavior the same on both ends?

• negative exponent

• odd degree

• even coefficient

• even degree

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What makes the end behavior "up" on the right side?

• positive leading coefficient

• negative leading coefficient

• even degree

• even leading coefficient

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

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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) → ∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the end behavior of the graph of 
f(x) = 3x⁴ + 2x - 5
Note: f(x)=y

• 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

What are the zeros with multiplicities?

 $g(x)=(x+4)^2(x+8)^3(x-5)$  

• -4 multiplicity 1, -8 multiplicity 1, 5 multiplicity 3

• 4 multiplicity 2, 8 multiplicity 3, -5 multiplicity 1

• 4 multiplicity 3, 8 multiplicity 2, -5 multiplicity 1

• -4 multiplicity 2, -8 multiplicity 3, 5 multiplicity 1

Tags

CCSS.HSF-IF.C.7C

Given
 $f\left(x\right)\ =\ 10x^2\left(2x-2\right)^3\left(x^2+3\right)$ ,
what is the multiplicity of  $x=0$  ?

• 10

• 3

• 2

• 0

Tags

CCSS.HSF-IF.C.7C

Select the polynomial whose zeros and degree are given.

Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.

• (x + 5)³(x - 9)²(x + 2)(x - 4)

• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷

• (x + 5)³(x - 9)²(x + 2)

• (x + 5)(x - 9)(x + 2)(x - 4)

Tags

CCSS.HSA.APR.B.3

Which choice is correct?

• The zero at −2 has a multiplicity of 3.

• This function has one real zero at -2.

• This function has one real zero at 2.

• The zero at −2 has a multiplicity of 2.

Tags

CCSS.HSF-IF.C.7C