End Behavior and Polynomial Graph Characterisitics

The leading coefficient is the coefficient of the largest degree monomial for the polynomial.
What is the leading coefficient for the polynomial f(x) = 2x³ + 4x - 5

• The leading coefficient is 2
• The leading coefficient is 3
• The leading coefficient is 4
• The leading coefficient is 5

The leading coefficient is the coefficient of the largest degree monomial for the polynomial.
What is the leading coefficient for the polynomial f(x) = -3x² - 5x - 4

• The leading coefficient is 2
• The leading coefficient is -3
• The leading coefficient is -4
• The leading coefficient is -5

Tags

CCSS.HSA.APR.A.1

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which one means left

• x →-∞
• x →∞

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

• 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

Determine the end behavior of the graph of 
f(x) = -7x³ + 2x - 1

• 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 is the Degree of the Polynomial?

5x³ - 6x + 1

• 1

• 2

• 3

• 4

What is the degree of the polynomial:

3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹

• 8

• 9

• 5

• -4

What are the zeros for the given polynomial? (Check all that apply)

• -4

• -3

• -2

• -1

• 2

Tags

CCSS.HSA.APR.B.3