Cubic Polynomial Functions

(4x³ + 2x² - 5x - 9) + (-3x³ - 5x² - x + 11)

• 7x³ + 7x² - 6x + 2

• x³ - 3x² - 6x + 2

• 7x³ - 3x² - 6x + 2

• x³ + 7x² - 4x + 2

Tags

CCSS.HSA.APR.A.1

What is the y-intercept of the following cubic function?

• (1, 0)

• (0, 2)

• (-1, 0)

• (2, 0)

What is the factored form for the following cubic function?

• 2x(x - 3)(x - 4)

• x(x + 3)(x + 4)

• x(x - 3)(x + 4)

• (x + 3)(x - 3)(x - 4)

Tags

CCSS.HSA.APR.B.3

• The end behavior of the graph is x →∞, f(x)→∞ and x→∞, f(x)→⁻∞

• The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→∞

• The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→0

• The end behavior of the graph is x →∞,f(x)→∞and x→⁻∞, f(x)→⁻∞

Based on the end behavior of the polynomial, what best describes the leading coefficient?

• a negative real number

•  a positive real number

• an even real number

• an odd real number

Determine the roots of the polynomial. 
f(x) = (x+1)(x-4)(x+2)

• 1, 4, 2

• -1, -4, -2

• 1, -4, 2

• -1, 4, -2

Tags

CCSS.HSF-IF.C.7C

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

What are the x-intercepts of the following function?
y = (x - 1)(x +3)(x - 4)

• 1, 3 and 4

• 2, 1, -3, and 4

• -1, 3, and -4

• 1, -3, and 4

Tags

CCSS.HSF-IF.C.7C

What is the standard form of a CUBIC function?

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