Graphing Polynomials

What type of polynomial could be represented by this graph?

• Even Degree

  - Leading Coefficient

• Even Degree

  + Leading Coefficient

• Odd Degree

  - Leading Coefficient

• Odd Degree

  + Leading Coefficient

Tags

CCSS.HSA.APR.B.3

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2
• y = -x⁴ + x³ + 5x + 2
• y = x³ - 2x² + 1x + 3
• y = -x³ - 2x² + 1x + 3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.10

What is the leading coefficient?

• Positive 
• Negative

What is the decreasing interval(s) of the function behind this text? 

• (-∞,∞)
• (-∞, 1)
• (-∞, 0)
• None

Where is the graph increasing?

• (-∞, -2.55) and (2.55, ∞)

• (0, ∞)

• (-2.55, 0) and (2.55, ∞)

• (-6.25, 36)

What are all the y-intercepts?

• (0, -6.25)
• (-3,0), (-2,0), (2,0), (3,0)
• (0, 36)
• (-∞, ∞)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

State the interval(s) of decrease.

• (-3,0) and (3, ∞)

• (-∞, -10.392 and (10.392,∞)

• (-∞, -1.732) and (1.732,∞)

• (-∞, -3) and (0,3)

State the interval(s) of increase.

• (0, -0.5) and (1, ∞)

• (0, -5.063) and (0, ∞)

• (-∞, 0) and (-5.063, 0)

• (-∞, -2) and (-0.5, 1)

Which of the following allows you to describe the end behavior of a polynomial?

• the degree and the constant

• the leading coefficient and the constant

• degree and the variable

• the degree and the leading coefficent

Identify the relative minimum:

• (0, 3)
• (4, 1)
• (3, 0)
• (1, 4)