Graphing Polynomials Higher Degree

Which of the following is the graph of a polynomial with a

negative leading coefficient?

• 
• 
• 
• 

Which functions have a negative leading coefficient?

• A

• B

• C

• D

Which of the following could be an equation for the function shown?

• y=x(x+2)(x-1)

• y=x(x-2)(x+1)

• y=-3x(x+2)(x-1)

• y=-2x(x-2)(x+1)

Which statements are true? Select two.

• A root with a multiplicity of 3 will result in a plateau point.

• A root with an even multiplicity will cross the x-axis.

• An even degree function with a positive leading coefficient will approach infinity as the x values get larger.

• Parabolas must cross or touch the x-axis.

Which three statements are true of the function f(x)=2-5x+3x²-2x³?

• The function has a y-intercept at 2.

• The graph of the function is a parabola.

• The function has a negative leading coefficient.

• The degree of the function is 3.

• As x-values get larger the y-values get larger.

In which functions can you quickly find the x-intercepts of their graphs?

• y = 3x² - 2

• y = 5 - 2x + 3x² + 6x³

• y = 2x(x-4)(x+1)

• y = -3(x+1)(x-5)

Tags

CCSS.HSA.APR.B.3

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞

• x → ∞, y→ ∞ and
  x→⁻∞, y→∞

• None of these

• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Tags

CCSS.HSF-IF.C.7A

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

Describe the end behavior of the function.
y = 4x¹⁰

• down and down

• down and up

• up and down

• up and up

Describe the end behavior of the function. y = -6x + 4 + 9x³

• down and down

• down and up

• up and down

• up and up